DEPARTMENT  OF  THE  INTERIOR 

UNITED  STATES  RECLAMATION  SERVICE 


Hydraulic  and  Excavation 
fables 


FOURTH  EDITION   . 

REVISED  ANP  ENLARGED 


WASHINGTON 

GOVERNMENT  PRINTING  OFFICE 
19!7 


UtlB 


NOTICE. 

It  will  be  appreciated  if  errors  found  in  these  tables  are  reported 
to  the  United  States  Reclamation  Service,  Washington,  D.  C. 


PREFACE. 

The  first  edition  of  the  Hydraulic  and  Excavation  Tables  was 
issued  by  the  United  States  Reclamation  Service  in  1905.  Later 
revised  editions  were  issued  in  1909  and  1913.  While  compiled  in 
the  first  instance  with  a  view  to  the  requirements  of  the  engineers 
of  the  Reclamation  Service,  the  book  has  had  a  considerable 
circulation  among  other  engineers  engaged  in  similar  lines  of  work. 
Most  of  the  tables  have  been  computed  especially  for  this  publica- 
tion  and  are  available  nowhere  else  in  print.  In  order  to  make  the 
series  complete  a  few  tables  taken  from  other  sources  have  been 
included,  most  of  which  have  been  extended  or  modified  to  conform 
to  the  conditions  encountered  on  reclamation  projects. 

In  the  present  edition,  several  tables  have  been  added  and  others 
have  been  expanded.  A  table  of  velocities  for  w~.oii  has  been 
computed,  this  value  being  indicated  by  experiments  as  being 
sometimes  applicable  to  steel  flumes  of  the  smooth  interior  type. 
Tables  of  hydraulic  functions  for  circular  sections,  horseshoe  sec- 
tions, and  semicircular  flumes  for  various  depths  of  water  have  been 
added,  and  the  tables  of  functions  of  trapezoidal  sections  have  been 
expanded  by  the  inclusion  of  values  by  2-foot  increments  between 
20  feet  and  32  feet  bottom  width.  Two  tables  for  discharge  of  sub- 
merged orifices  are  reprinted  from  the  booklet  "The  Measurement  of 
Irrigation  Water,"  published  by  the  Service.  The  tables  for  flow 
through  pipes  are  new;  those  for  wood  stave  pipe  are  based  upon 
the  formula  of  Mr.  Fred  C.  Scobey,  for  pipes  of  other  materials  the 
Hazen-Williams  formula  is  used.  The  table  of  velocity  heads  has 
.been  expanded  by  the  inclusion  of  an  extended  set  of  values  for 
small  heads. 

All  reported  errors  have  been  checked  and  corrections  made,  and 
the  thanks  of  the  Service  are  extended  to  all  those  \vho  by  reporting 
errors  or  by  making  suggestions  for  improvement  have  cooperated 
in  this  revision .  A  continuance  of  this  interest  is  earnestly  sol icited ; 
all  errors  reported  or  suggestions  made  in  the  line  of  constructive 
criticism  are  welcomed,  since  it  is  only  by  the  continued  cooperation 
of  users  and  publishers  that  the  goal  of  an  entirely  reliable  und 
adequate  handbook  can  be  attained. 

A.  P.  DAVIS, 

Director  and  Chief  Engineer. 
WASHINGTON,  D.  C.,  Nov.  i,  1917. 

3 


37032.1 


CONTENTS. 


EXPLANATION  OP  TABLES 

TABLE  i. — Velocity  of  water  in  feet  per  second,  based  on 

Kutter's  formula,  coefficient  of  roughness  w—.oio 

TABLE  2. — Velocity  of  water  in  feet  per  second,  based  on 

Kutter's  formula,  coefficient  of  roughness  w—.oii 

TABLE  3. — Velocity  of  water  in  feet  per  second,  based  on 

Kutter's  formula,  coefficient  of  roughness  n~.oi2 

TABLE  4. — Velocity  of  water  in  feet  per  second,  based  on 

Kutter's  formula,  coefficient  of  roughness  ?t— ,013 

TABLE  5. — ^Velocity  of  water  in  feet  per  second,  based  on 

Kutter's  formula,  coefficient  of  roughness  w=.oi4 

TABLE  6. — Velocity  of  water  in  feet  per  second,  based  on 

Kutter's  formula,  coefficient  of  rougliness  w— .015 

TABLE  7. — Velocity  of  water  in  feet  per  second,  based  on 

Kutter's  formula,  coefficient  of  roughness  t?=.o2o.  .  ....... 

TABLE  8. — Velocity  of  water  in  feet  per  second,  based  on 

Kutter's  formula,  coefficient  of  roughness  ^=.0225 

TABLE  9. — Velocity  of  water  in  feet  per  second,  based  on 

Kutter's  formula,  coefficient  of  roughness  ??— .025 

TABLE  10. — Velocity  of  water  in  feet  per  second,  based  on 

Kutter's  formula,  coefficient  of  roughness  «=.O30 

TABLE  n. — Velocity  of  water  in  feet  per  second,  based  on 

Kutter's  formula,  coefficient  of  roughness  ^=.035 

TABLE  12. — Area,  wetted  perimeter  and  hydraulic  radius  of 

partially  filled  horseshoe  and  circular  conduit  sections 

TABLE  13. — Area  in  square  feet,  A,  and  hydraulic  radius  in 

feet,  r,  of  semicircular  flumes  for  various  values  of  freeboard 

in  feet,  F 

TABLE  14. — Area  in  square  feet,  A ,  and  hydraulic  radius  in 

feet,  /',  of  rectangular  channels 

TABLE  15. — Area  in  sc|uare  feet,  A,  top  width  in  feet,  T,  and 

hydraulic  radius  in  feet,  r,  of  trapezoidal  channels,  side 

slopes  }4  to  T 

i 


HYDRAULIC  AND  EXCAVATION  TABLES. 

EXPLANATION   OP  TABLES. 

Tables  i  to  n. — Tables  i  to  n  give  the  values  of  the  me.an  velocity 
of  water  in  open  channels  computed  from  Kutter's  formula: 


The  values  of  «,  the  coefficient  of  roughness,  to  be  used  in  find- 
ing V.,  depend  on  the  roughness  of  the  materials  forming  the  bed 
and  banks  of  the  channel,  irregularities  and  imperfections 'in  the 
bed  or  banks,  the  load  of  silt  or  detritus,  curves,  eddies,  aquatic 
plants,  and  other  conditions  that  tend  to  produce  a  retardation  of 
flow.  Experimental  data  on  the  subject  are  limited  and  the  com- 
monly accepted  values  of  n  for  specific  conditions  must  be  con 
sidered  as  mere  approximations.  These  approximate  values,  based 
on  a  consideration  of  the  data  available,  are  as  follows: 
«  — .010  for  clean,  straight  channels  newly  lined  with  planed  boards 
carefully  laid;  neat  cement  plaster;  glazed,  coated  and  enameled 
surfaces  in  perfect  order. 

??=.on  for  construction  as  above  but  with  alignment  consisting  of 
long  tangents  joined  by  gentle  curves;  clean,  straight  metal  flumes 
of  the  smooth  interior  type  carrying  clear  water  and  in  perfect 
order. 

n— .012  for  clean,  straight  and  regular  channels  of  planed  boards  not 
in  perfect  order  due  to  inferior  workmanship  or  age;  unplaned 
boards  newly  and  carefully  laid;  metal  flumes  of  the  smooth  in- 
terior type  for  water  carrying  a  small  amount  of  silt  or  with  clear 
water  and  gentle  curvature  in  alignment;  concrete  linings  having 
steel  trowled  surfaces  of  1:1  mortar  carrying  water  practically  free 
from  silt;  sand  and  cement  plaster;  best  and  cleanest  brickwork. 
v  — .013  for  clean,  regular  channels  of  concrete  having  steel  troweled 
surfaces  of  1:1  mortar  with  a  small  amount  of  gentle  curvature  in 
alignment  or  cany  ing  water  with  a  small  amount  of  silt;  metal 
flumes  of  the  smooth  interior  type  having  sharp  curvature  of  used 
lor  water  carrying  a  large  amotmt  of  silt. 

9 


10  HYDRAULIC    AND   EXCAVATION    TABLES. 

n=.oi4  for    clean,   regular  channels  of    concrete   having   wooden 

troweled  or  formed  surfaces  of  good  construction,  the  alignment 

consisting  of  tangents  connected  by  gentle  curves;  unplaned  hoards 

not  in  perfect  order  due  to  inferior  workmanship  or  age. 
w=.oi5  for  construction  as  in  the   preceding  case  but  with  sharp 

curvature  or  with  deposits  of  silt  on  the  bottom  of  channel ;  straight 

and  regular  channels  of  ordinary  brickwork;  smooth  stonework; 

foul  and  slightly  tuberculated  iron. 
n=.o2o  for  channels  of  fine  gravel;     rough  set  rubble;     ruined 

masonry;  or  tuberculated  iron;  or  for  canals  in  earth,  in  good 

condition,  lined  with  well-packed  gravel,  partly  covered  with 

sediment,  and  free  from  vegetation. 
w=.o225  for  canals  in  earth  in  fair  condition  lined  with  sediment 

and  occasional  patches  of  algae,  or  composed  of  loose  gravel  without 

vegetation. 
K—.O25  for  canals  and  rivers  of  tolerably  uniform  cross  section,  slope 

and  direction  in  average  condition;  the  water  slopes  being  lined 

with,  sediment  and  minute  algae  or  composed  of  loose,   coarse 

gravel, 
w—.oso  for  canals  and  rivers  in  rather  poor  condition,  having  bed 

partially  covered  with  debris,  or  having  comparatively  smooth 

sides  and  bed  but  a  channel  partially  obstructed  with  grass, 

weeds,  or  aquatic  plants. 
n=.o35  for  canals  and  rivers  in  bad  order  and  regimen,  having  the 

channel  strewn  with  stones  and  detritus  or  about  one-third  full 

of  vegetation. 

Canals  in  earth  with  their  channels  half  full  of  vegetation  may 
have  ^=.040,  and  when  two-thirds  full  of  vegetation  may  have 
«,=  .050.  In  exceptional  cases  the  value  of  n  may  reach  .000. 

KXAMPLE:  Suppose  the  surface  slope  of  a  stream  at  a  gaging 
station  is  0.00050,  or  the  fall  is  >i  foot  per  thousand  feet  (or  2.64 
feet  tO'the  mile),  the  hydraulic  radius  (r)  is  7.5  feet,  and  the  con- 
dition of  the  stream  is  "  in  bad  order  and  regimen. ' ' 

Then  on  page  45  for  11=0.035,  slope=o. 00050  and  r— 7.5,  we  find 
the  mean  velocity  to  be  3.78  feet  per  second. 

Note. — To  find  velocities  for  slopes  other  than  those  given  in  tills 
table,  multiply  the  tabular  velocity  found  in  the  column  of  "F— 
52.80"  by  ten  times  the  square  root  of  the  slope.  The  velocity 
thus-  obtained  is  accurate  for  slopes  greater  than  6  feet  per  mile, 
arid  approximate  for  slopes  greater  than  4  feet  per  mile. 


HYDRA  riJC    AND    EXCAVATION    TABLES.  11 

Table  12. — Table  12  gives  the  area,  wetted  perimeter  and  hydraulic 
radius  of  partially  rilled  horseshoe  and  circular  conduit  sections. 

Table  ij. — Table  13  gives  the  area  and  hydraulic  radius  of  tlu- 
.commercial  sizes  of  semicircular  steel  flumes  flowing  full  and  with 
various  amounts  of  freeboard. 

Table  14. — Table  14  gives  the  area  and  hydraulic  radius  of  rec- 
tangular channels  for  various  depths  and  bottom  widths. 

Tub.les  /5  to  20. — Tables  15  to  20  give  the  top  width,  area,  and 
hydraulic  radius  of  trapezoidal  channels  for  various  center  depths 
and  bottom  widths  with  side  slopes  of  ^  to  i,  i  to  i,  i$4  to  i,  and 
c  to.  i  on  both  sides,  with  one  side  slope  i  to  i  and  one  side  slope 
\y^  to  i,. and  with  one  side  slope  2  to  i  and  one  side  slope  i>£  to  i. 

Table  21.— Table  21  gives  the  discharges  in  cubic  feet  per  second 
over  Cipolletti  weirs  and  suppressed  thin-edged  rectangular  weirs 
/or  various  lengths  and  depths  of  water  on  the  crest.  The  formula 

from  which  this  table  is  computed  is  Q^s.&LH*,  where  Q  is 
the  discharge  in  cubic  feet  per  second,  L  the  length  in  feet  of  the 
crest  of  the  weir,  and  H  the  depth  in  feet  of  water  flowing  over 
the  weir. 

The  Cipolletti  v/eir  differs  from  the  rectangular  form  in  having 
side  slopes  of  4  vertical  to  i  horizontal,  instead  of  vertical  sides. 
Its  coefficient  of  contraction  is  unity  and  hence  it3  discharge  is 
more  readily  computed  than  that  of  the  rectangular  weir. 
•  vSince  the  discharge  is  proportional  to  the  length  of  weir,  the  table 
tiiay  be  used  for  weirs  of  any  length  by  multiplying  some  value 
taund  in  the  table  by  the  proper  factor,  or  by  moving  decimal  points 
and  adding,  but  the  tabular  values  are  not  accurate  in  case  the 
head' is  greater  than  one-third  the  length  of  the  weir. 

EXAMPLE:  Suppose  the  weir  has  a  length  of  345  feet  and  a  depth 
of  water  on  crest  of  0.72  foot,  the  discharge  would  be  equal  to  that 
of  3  weirs  whose  lengths  are  300  feet,  40  feet,  and  5  feet.  On  page  89, 
opposite  figure  ".72,"  in  the  column  headed  "Depth  on  crest,"  we 
have  the  following: 

300  feet  =617        second-feet. 

40  feet  (1-10   of  400  feet)—  82.  3    second -feet. 

5  feet  (T-TOO  of  500  feet)=  10.  28  second-feet. 

345  feet  —709.  58  second-feet. 

Table  22. — Table  22  gives  values  oi  Herschel's  coefficient  n  for 
computing  the  discharge  of  submerged  weirs. 


12  HYDBAUIJO    ANT>   EXCAVATION    TABLES. 

Table  23. — Table  23  gives  the  discharge  per  foot  of  length  over 
sharp-crested  vertical  weirs,  without  end  contractions,  of  heights  2 , 
4,  6, 8, 10,  20,  and  30  feet,  computed  from  Bazin  's formula.  Although 
this  formula  is  based  on  data  obtained  from  experiments  with  heads 
not  greater  than  1.64  feet,  discharges  for  heads  of  4  feet  and  less  com- 
puted thereby  agree  within  2  per  cent  with  those  obtained  by  use  of 
the  Fteley  and  Stearns  formula.  The  discharge  given  by  this  table 
is  corrected  for  velocity  of  approach  and  the  head  to  be  used  is  that 
observed  16  feet  or  more  upstream  from  the  crest  of  the  weir. 

Tables  24  to  26. — Tables  24  to  26  give  multipliers  to  be  applied  to 
quantities  in  Table  23  to  determine  the  discharge  over  broad-crested 
weirs  of  various  types  and  dimensions. 

EXAMPLE:  Suppose  the  discharge  is  to  be  computed  over  a  weir 
of  rectangular  cross  section  that  is  10  feet  long,  12  feet  high,  6  feet 
wide  at  crest,  and  has  an  observed  head  of  2.4  feet.  Table  23  shows 
that  for  a  height  (p)  of  12  feet  and  a  head  (k)  of  2.4,  the  discharge  is 
12.42  second-feet.  Table  24  shows  that  for  a  height  (/>)  of  12  feet,  a 
crest  width  (c)  of  6  feet,  and  head  (h )  of  2 .4  feet  the  multiplier  is  o.  797 . 
Hence,  the  discharge  is  12.42X0.797X10=99.0  second-feet.  With 

two  end  contractions  the  discharge  would  be  9.9  (  10 —  j  =94.2 . 

Tables  27  and  28. — Tables  27  and  28  give  the  discharge  of  standard 
and  suppressed  rectangular  submerged  orifices. 

Table  2p. — Table  29  gives  the  flow  of  water  in  second-feet  and  the 
velocity  in  feet  per  second  in  wood  stave  pipe,  computed  by  the 
formula  proposed  by  Fred  C.  Scobey  in  ' '  The  Flow  of  Water  in  Wood 
Stave  Pipe, "  Bulletin  376,  United  States  Department  of  Agriculture. 
This  formula  is  based  on  a  consideration  of  all  recorded  tests  of  flow 
in  wood  stave  pipes,  including  many  by  the  author  himself.  Its 
application  meets  (within  i  per  cent)  the  mean  of  all  velocity 
observations  and  the  mean  capacity  of  all  wood  pipes  upon  which 
experiments  have  been  made,  but  being  an  averaging  formula  it 
jjives  results  which  are  as  likely  to  be  too  large  as  too  small,  and  in 
-exceptional  cases  may  be  in  error  as  much  as  15  per  cent.  The 
author  recommends  that  "a  very  conservative  factor  of  safety  "  [10 
or  15  per  cent]  "should  be  used  where  a  guaranteed  capacity  is  to 
be  attained." 

Table  30.— Table  30  is  taken  from  Mr.  D.  C.  Kenny's  discussion 
of  Mr.  Scobey 's  paper  in  the  bulletin  mentioned  above.  It  gives 
the  values  of  n  in  Kutter's  formula  for  various  velocities  computed 


HYDKAUL1C   AND  EXCAVATION    TABLES.  13 

from  the  tests  recorded  in  Mr.  Scobey 's  paper  for  the  use  of  engineers 
who  may  desire  to  base  their  designs  on  the  Kutter  formula. 

Table  31. — Table  31  gives  the  flow  of  water  in  second-feet  and  the 
velocity  in  feet  per  second  in  pipes  based  on  the  Hazen  and  Williams 
formula  -v—c  r0-63  s°M  o.ooi"0-04,  using  a  value  of  the  coefficient 
c=ioo.  (See  "Hydraulic  Tables"  by  Williams  and  Hazen,  2d  ed., 
1911.)  This  value  of  c  is  recommended  by  the  authors  for  lo-year- 
old  riveted  steel  pipe  and  by  the  use  of  the  multipliers  given  below 
the  tables  they  may  be  made  to  cover  a  considerable  range  of  mate- 
rials and  conditions. 

Table  32. — Table  32  gives  weights  per  foot  of  cast-iron  pipe. 

Table  33. — Table  33  gives  theoretical  velocities  of  flow  for  different 
heads. 

Tables  34  to  37. — Tables  34  to  37  give  the  volume  of  excavation 
in  cubic  yards  per  100  feet  of  length  for  various  center  depths  and 
side  slopes,  assuming  the  ground  to  be  level  transversely.  The 
volume  required  is  the  difference  between  two  triangular  prisms. 


A 

FIG.  1. — Ideal  cauai  section. 

In  fig.  i  is  shown  the  cross-section  of  a  canal  that  has  a  bottom 
width  of  18  feet  and  side  slopes  of  i^  to  i.  The  amount  of  material 
in  the  prism  C  B  F  E  is  equal  to  the  volume  of  the  prism  A  C  E 
minus  the  volume  of  the  prism  A  B  F.  As  A  C  E  has  an  altitude  of 
1 6  feet  and  A  B  F  has  an  altitude  of  6  feet,  the  volume  of  each  for  a 
length  of  100  feet  can  be  obtained  from  the  table.  Opposite  16  in 
Table  35  on  page  116  is  1,422,  which  is  the  volume  in  cubic  feet  of 
ACE  per  100  linear  feet;  opposite  6  is  200,  which  is  the  volume 
of  A  B  K. 

As  C  B  F  E=A  C  E-A  B  F 

CB   F  E=I,422— 200 
=  1,222 


14  HYDRAULIC    A  NT)    KXCAVATION    TABLES. 

When  working  up  quantities  lor  canal  excavation  it  is  only 
sary  to  subtract  the  volume  below  the  bed  once  for  each  mile  or  for 
each  10  miles,  thus  making  the  use  of  the  table  much  more  rapid. 

Tables  38  to  40. — Tables  38  to  40  give  the  volume  of  excavation 
in  cubic  yards  per  100  feet  of  length,  where  the  surface  slopes  trans- 
versely, for  various  center  depths  and  side  slopes.  They  differ  from 
Tables  33  to  36  only  in  that  the  earth  surface  is  sloping  ground 
instead  of  being  level  transversely.  The  surface  slope  is  expressed, 
in  per  cent,  a  10  per  cent  slope  being  10  vertical  to  100  horizontal. 

Tables  41  and  42. — Table  41  gives  three-halves  powers  of  numbers, 
from  o  to  1.499  by  thousandths,  and  Table  42  gives  three-halves 
powers  of  numbers  from  1.50  to  19.99  by  hundredths.  These  tables 
are  designed  especially  for  use  in  connection  with  formulas  for  dis-. 
charge  over  weirs. 

Table  43. — Table  43. gives  the  squares,  cubes,  square  roots,. cube 
roots,  reciprocals,  anal  area  and  circumference  of  circles. 

Table  44.—* Table  44  gives  the  difference  of  elevation  in  feet  per' 
mile  for  various  angles  of  slope. 

Table  45. — Table  4-5  gives  the  correction  in  feet  for  curvature 
and  refraction. 

Table  46. — Table  46  is  designed  for  use  in  stadia  work  and  gives 
the  difference  in  elevation  corresponding  to  specified  slant  distances 
for  vertical  anglesbf  o°  to  20°.  The  horizontal  distances  correspond- 
ing to  the  slant  distances  are  also  given  for  various  vertical  angles. 

EXAMPLE:  With  the  instrument  at  A  a  vertical  angle  of  3°  io/ 
is  observed  on  a  point  B  which  is  distant  350  feet  by  stadia  reading; 
find  the  difference  in  elevation  of  A  and  B  and  the  horizontal 
distance  AB.  Opposite  3°  ic/  in  the  first  column  of  the  table,  16.5 
is  found  under  a  distance  of  300  and  22.1°  under  a  distance  of  400; 
and  interpolation  for  a  distance  of  350  feet  gives  19.3  feet  for  the 
difference  in  elevation  of  'A  and  B.  Interpolation  for  350  between 
the  values  in  the  300  and  the  400  distance  columns  of  the  'horizontal 
distance  lines  at  3°  and  4°  gives,  respectively,  349.0  and  348.2;' 
;md  an  additional  interpolation  gives,  for  an  angle  of  3°  ic/  and  a 
>Iant  distance  of  350,  a  horizontal  distance  of  348.9  The  hori/omal 
distance  of  A  B  is  therefore  348.9  feet. 

liable  47. — Table  47  gives  values  of  c  in  the  formula  -y=c-vW  foi 
use  in  computing  the  mean  velocity  of  the  flow  of  streams. 

Table  48. — Table  48  gives  the  average,  limiting  or  mean  weights1 
per  cubic  foot  for  various  substances. 

Table  4Q. — Table  49  gives  many  convenient  equivalents  arranged 
under  suitable  headings. 


HYDRAULIC 


TABI.KS. 


15 


Table*    I. — Velocity  of  water  in  fret  per  second,  based  an  Kutter's 
formula,  coefficient  oj  roughness 

a       .OIO. 

{F  -  fall  in  feet  per  mile  ;    S  =  slope.) 


area 
et  per. 

A 

«i 

si 

r-§ 

li 

ii 

ii 

«•*  ^ 

§i 

wS 

T-!  O 

*4  O 

€^>     • 

il 

e>^ 

9$    • 

*$ 

11 

ts 

5 
h 

0  U 
&.OB 

fci 

it   !! 

hi 

1!   II 

h* 

«   II 

hx 

H  n 

has 

H   II* 

h» 

il    II 

hai 

H  n 

has 

H  II   • 

hw 

It  II 
fccn 

0.2 

.28 

.44 

.56 

.67 

.76 

.84 

.92 

.99 

1.05 

i.ii 

1.17 

0.4 

.49 

.76 

.96 

1.13 

1.28 

1.41 

1.53 

1.64 

1.75 

1.85 

1.94 

0.6 

.68 

1.02 

1.29 

1.51 

1.70 

1.88 

2.04 

2.19 

2.33 

2.46 

-2.58 

O.H 

.84 

1.26 

1.58 

1.85 

2.08 

2.29 

2.4S 

2.06 

2.83 

2.99! 

3.14 

1.0 

1.00 

1.48 

1.84 

2.15 

2.42 

2.06 

2.88 

3.09 

3.28 

3.4T 

3.64 

1.2 

1.14 

1.68 

2.09 

2.43 

2.73 

3.00 

3.25 

3,49 

3.70 

3.91  ! 

4.10 

1.4 

1.28 

1.87 

232 

2.69 

3.03 

3.32 

3.59 

3.8.'» 

4.09 

4.32i 

4.53 

1.6 

1.41 

2.05 

2.53 

2.94 

3.30 

3.62 

3.92 

4.20 

4.40 

4.7(V 

4.91 

1.8 

1.53 

2.22 

2.74 

318 

3.56 

3.91 

4.23 

4..->2 

4^0 

SA)7: 

5.32 

2.0 

1.65 

2.38 

2.93 

3.40 

3.81 

4.18 

4.52 

4.84 

5.13 

5.41 

6.68 

2.2 

1.76 

2.53 

3.12 

3.61 

4.05 

4.44 

4.80 

5.13 

5.45 

5.7  1- 

6.03 

2.4 

1.87 

2.68 

3.30 

3.82 

4.27 

4.69 

5.07 

5.42 

5.75 

fi.OO': 

6.36 

2.6 

1.98 

2.82 

3.47 

4.01 

4.49 

4.93 

5.32 

5.09 

6.04 

.-..371 

6.68 

2.8 

2.08 

2.96 

3.64 

4.20 

4.70 

5.16 

5.57 

5.90 

6.32 

O.Otr 

6.99 

3.0 

2.18 

3.10 

3.80 

4.39 

4.91 

5.38 

5.81 

<i.21 

6.59; 

6.94; 

7.29 

3.2 

2.28 

3.23 

3.96 

4.57 

5.11 

5.60 

6.05 

«5.40 

0.80 

7.23 

7.58 

3.4 

2.38 

3.36 

4.11 

4.74 

5.30 

5.81 

6.27 

6.70 

7.11 

7.50 

7.86 

:{.<» 

2.47 

3.48 

4.26 

4.91 

5.49 

6.01 

6.49 

t;.«)5 

7.30 

7.70 

8.13 

3.H 

2.  50 

3.00 

4.40 

5.08 

5.67 

6.21 

6.71 

7.17 

7.60 

8.01 

8.40 

4.0 

2.65 

3.72 

4.54 

5.23 

5.85 

6.41 

6.92 

7.39 

7.84, 

8.25 

8.66 

4.3 

2.74 

3.84 

4.68 

5.40 

6.03 

6.60 

7.12 

7.61 

8.071 

8.50 

8.92 

4.4 

2.  82 

3.95 

4.82 

5.55 

6.20 

6.78 

7.32 

7.82 

8:30 

8.74 

9.17 

4.6 

2.91 

4.06 

4.95 

5.70 

6.37 

6.96 

7.52 

8.03 

8.52  ! 

8.971 

9.41 

4.8 

2.99 

4.17 

5.  OS 

5.85 

6.53 

7.15 

7.71 

8.24 

S.73 

9.20 

0*65 

5.0 

3.07 

4.28 

5.21 

5.99 

6.69 

7.32 

7.90 

8.44 

8.95 

9.43  : 

9.88 

3.2 

3.15 

4.38 

5.33 

6.14 

6.85 

7.49 

8.08 

8.64 

9.15 

9.05 

10.1 

5.4 

3.23 

4.48 

5.4a 

0.2S 

7.00 

7.66 

8.27 

8.83 

9.36 

9.86 

10.3 

:>.«; 

3.30 

4.59 

5.57 

6.42 

7.16 

7.83 

8.44 

9.02 

9.56 

10.1 

10.0 

.5.8 

3.38 

4.08 

5.09 

6.55 

7.31 

7.99 

8.62 

9.21 

9.76 

10.3 

10.8 

«.o 

3.45 

4.78 

5.81 

6.69 

7.45 

8.16 

8.79 

9.39 

9.95 

10.5 

11.0 

€.2 

3.53 

4.S8 

5.93 

6.81 

7.60 

8.31 

8.96 

9.57 

10.1 

10.7 

11.2 

K.I 

3.00 

4.97 

6.05 

t\.',n 

7.74 

8.47 

9.13 

9.75 

10.3 

10.9 

11.4 

«.« 

3.  07 

5.07 

6.15 

7.07 

7.88 

8.62 

9.29 

9.93 

10.5 

11.1 

11,6 

«.8 

3.74 

5.16 

6.26 

7.20 

8.02 

8.77 

9.46 

10.1 

10.7 

11.3 

11.8 

7.0 

3.81 

5.25 

6.37 

7.32 

8.16 

8.93 

9.62 

10.3 

10.9 

11.5 

12.0 

7.5 

3.  OR 

5.48 

6.64 

7.62 

8.50 

9.28 

10.0 

10.7 

11.3 

11.9 

12.5 

S.O 

4.15 

5.70 

O.S9 

7.91 

8.82 

9.64 

10.4 

11.1 

11.8 

12.4 

13.0 

S.5 

4.31 

5.91 

7.14 

8.19 

9.13 

9.98 

10.8 

11.5 

12.2 

12.8 

13*1 

«.o 

!  40 

6.11 

7.39 

8.47 

9.44 

10.3 

11.1 

11.9 

12.6, 

13.2 

13,0 

9.5 

4.01 

6.30 

7.63 

8.74 

9.73 

10.6 

11.5 

12.2 

13.0 

13.7 

145 

10.0 

4.70 

6.50 

7.85 

9.00 

10.0 

11.0 

11.8 

12.6 

13.3 

14.1 

14.7 

.HY.UKAlJl.ir    AND    EXCAVATION     TABLES. 


Table  1. —  Velocity  of  water  in  feet  per  second,  based  on 
formula,  coefficient  of  roughness 

n  =.O1O  —  Continued. 


1 



i 

1 

1 

|| 

il 
51 

li 

II 

!i 

§1 

ii 

ii 

?! 

si 

1 

ii  n* 

n  n 

il  II* 

!l    II 

n  if 

II  if 

II    if 

n  if 

II  il 

n  it 

1 

ha 

ha 

ha 

J.3 

1.22 

1.28 

1.33 

1.38 

1.42 

1.47 

1.52 

1.56 

1.60 

1.80 

>.* 

2.03 

2.12 

2.20 

2.28 

2.36 

2.44 

2.51 

2.58 

2.G5 

2.97 

Mi 

2.70 

2.82 

2.92 

3.03 

3.13 

3.23 

3.33 

3.42 

3.51 

Ld 

3.28 

3.42 

3.55 

3.68 

3.80 

3.92 

4.04 

4.15 

4.26 

4!77 

.0 

3.81 

3.97 

4.12 

4.27 

4.41 

4.55 

4.68 

4.81 

4.93 

5.53 

.2 

4.29 

4.47 

4.64 

4.81 

4.97 

5.12 

5.27 

5.42 

6.56 

6.22 

.4 

4.74 

4.93 

5.12 

5.31 

5.48 

5.65 

5.82 

5.98 

6.14 

6.8? 

o(> 

5.16 

5.37 

5.58 

5.78 

5.97 

6.15 

8.33 

6.51 

6.68 

7.47 

,8 

5.56 

5.79 

6.01 

6.22 

6.42 

6.62 

6.82 

7.01 

7.19 

8.04 

.0 

6.94 

6.18 

6.41 

6.64 

6.86 

7.07 

7.28 

7.48 

7.68 

8.59 

.2 

6.30 

6.56 

6.80 

7.05 

7.28 

7.50 

7.72 

7.93 

8.14 

9.11 

.4 

6.64 

6.92 

7.18 

7.43 

7.68 

7.91 

8.14 

8.37 

8.59 

9.60 

.0 

6.98 

7.2G 

7.54 

7.81 

8.06 

8.31 

8.55 

8.79 

9.02 

10.1 

.8 

7.30 

7.60 

7.89 

8.17 

8.43 

8.69 

».9S 

9.19 

9.43 

10.5 

.0 

7.62 

7.93 

8.22 

8.51 

8.79 

9.00 

9.33 

9.58 

9.83 

11.0 

.3 

7.92 

8.24 

8.55 

8.85 

9.14 

9.42 

9.70 

9.96 

10.2 

11.4 

.4 

8.21 

8.65 

8.87 

9.18 

9.48 

9.77 

10.  1 

10.3 

10.6 

11.9 

.6 

8.50 

8.84 

9.18 

9.50 

9.81 

10.1 

10.4 

10.7 

11.0 

12.3 

.8 

8.77 

9.13 

9.48 

9.81 

10.1 

10.4 

10.7 

11.0 

11.3 

12.7 

.0 

9.05 

9.41 

9.77 

10.1 

10.4 

10.8 

11.1 

11.4 

11.7 

13.1 

.a 

9.31 

9.69 

10.1 

10.4 

10.8 

11.1 

11.4 

11.7 

12.0 

13.4 

.4 

9.57 

9.96 

10.3 

10.7 

11.1 

11.4 

11.7 

12.0 

12.4 

13.S 

.6 

9.83 

10.2 

10.6 

11.0 

11.3 

11.7 

12.0 

12.4 

12.7 

14.2 

.8 

10.1 

10.5 

10.9 

11.3 

11.6 

12.0 

12.3 

12.7 

13.0 

14.5 

.0 

10.3 

10.7 

11.1 

11.5 

11.9 

12.3 

12.6 

13.0 

13.3 

14.9 

.2 

10,6 

11.0 

11.4 

11.8 

12.2 

12.6 

12.9 

13.3 

13.6 

15.2 

.4 

10.8 

11.3 

11.7 

12.1 

12.5 

12.8 

13.2 

13.6 

13.9 

15.6 

.6 

11:0 

11.6 

11.9 

12.3 

12.7 

13.1 

13.5 

13.9 

14.2 

15.9 

.8 

11.3 

11.7 

12.2 

12.6 

13.0 

13.4 

13.8 

14.1 

14.5 

16.2 

,0 

11.5 

11.9 

12.4 

12.8 

13.2 

13.6 

14.0 

14.4 

14.8 

16.5 

.2 

11.7 

12.2 

12.6 

13.1 

13.5 

13.9 

14.3 

14.7 

15.1 

16.S 

.4 

11.9 

12.4 

12.9 

13.3 

13.7 

14.2 

14.6 

15.0 

15.4 

17.2 

.6 

12.1 

12.6 

13.1 

13.5 

14.0 

14.4 

14.8 

15.2 

15.6 

17.5 

.8 

12.3 

12.8 

13.3 

13.8 

14.2 

14.7 

15.1 

15.5 

15.9 

17.8 

.0 

12.5 

13.1 

13.5 

14.0 

14.4 

14.9 

15.3 

15.8 

16.2 

18.1 

.5 

13.0 

13.6 

14.1 

14.6 

.0 

13.5 

14.1 

14.6 

15.1 

, 

.5 

14.0 

14.6 

15.1 

15.7 

.0 

14.5 

15.1 

15.6 

16.2 



.5 

14.9 

15.5 

16.1 

16.7 

" 

.0 

15.4 

16.0 

16.6 

17.2 



i 



HYDRAULIC   ASD   EXCAVATION    TAULKS. 


Table  1.- — Velocity  of  water  in  feet  per  second,  based  on  Kutter's 
formula,  coefficient  of  roughness 

'•O1O —  Continued. 


li 


8* 

H 

ir 

N 

J 
SI 

II  II 

fa-/» 

8 

If 

h» 

ll 

II  II 

Jsr/3 

S« 

S§ 

II  II 

fc'/J 

t* 

If 

II  II 
fett 

li 

II  1! 
fett 

Si 

*,1n 
II  II 
*-/J 

II 

II  1! 

ShSB 

% 
8« 

i!    il 
fcX 

0.2 
0.4 
0.6 
0.8 
1.0 

1.2 
1.4 
1.6 
1.8 
2.0 

2.2 
2.4 

2.6 
2.8 
3.0 

3.2 

1.97 
3.26 
4.32 
5.24 
6.06 

1     6.82 
7.53 
8.19 
8.81 
j     9.41 

1    9.98 
10.5 
11.1 
11.6 
12.0 

12.5 

2,U 
3.53 
4.67 
5.66 
6.55 

7.37 
3.13 
8.85 
9.52 
10.2 

10.8 
11.4 
11.9 
12.5 
13.0 

13.5 

2.29 
3.77 
4.99 
6.05 
7.01 

7:88 
8.70 
9.46 
10.2 
10.9 

11.5 

12.2 
12.8 
13.3 
.  13.9 

14.5 

2.81 
4.63 
6.13 
7.43 
8.59 

9.67 
10.7 
11.6 
12.5 
13.3 

14.1 
14.9 
15.6 
16.3 
17.0 

17.7 

3.25 
5.36 
7.08 
8.58 
9.93 

11.2 
12.3 
13.4 
14.4 
15.4 

16.3 
17.2 
18.1 
18.9 
19.7 

20.4 

3.64 
5.9V) 
7.92 
9.60 
11.1 

12.5 
13.8 
15.0 
16.1 
17.2 

18.2 
19.2 
20.2 
21.1 
22.0 

22.9 

398 
657 
868 
10.5 
12.2 

13.7 
15.1 
16.4 
17.7 
18.8 

20.0 
21.1 
22.1 
23.1 
24.1 

25.0 

4.60 
7.53 
10.0 
12.2 
14.1 

15.8 
17.4 
10.0 
20.4 
21.8 

23.1 
24.3 
25.5 
26.7 
27.8 

5.15 
8.48 
11.2 
13.6 
15.7 

17.7 
19.6 

21.2 
22.8 
24.3 

25.8 
27.2 
28.5 
29.8 
31.1 

3.4 

13.0 

14  0 

150 

184 

21  2 

23  7 

26  0 

3.6 

13.4 

14.5 

15.5 

19.0 

21  9 

24.5 

26.9 

3.8 

4.0 

13.9 
14.3 

15.0 
15.4 

16.0 
16.5 

19.6 
20  2 

22.6 
23  3 

25.3 
26  1 

27.7 



4.2 

14.7 

15,9 

17.0 

208 

240 

26  8 

4.4 

15.1 

16  3 

17  5 

21  4 

24  7 

27  6 

4.6 

15.5 

16.8 

17.9 

21  9 

25  3 

4:8 

15.9 

17.2 

18.4 

22.5 

25  9 

5.0 

16;3 

17.6 

IS  8 

230 

26  6 

5.2 

16.7 

18.0 

19  2 

23  5 

5.4 

17.0 

18.4 

19.7 

24.1 

5,6 

17.4 

18.8 

20.1 

«.8 

17.7 

19.2 

20.5 

6.0 

18.1 

19.5 

6.2 

'18.4 

19.9 

fi.4 

i  18.8 

20.3 

6.8 

'  19.1 

20.6 

9.8 

19.4 

21.0 

:j   19.8 

21.3 

. 

8202°— 17 -2 


18 


HYDRAULIC   AND   EXCAVATION   TABLES. 


Tal)l©  2. — Velocity  of  water  in  feet  per  second,  baaed  on  K  utter' s 
formula,  coefficient  of  roughness 

n=.011. 


wet  per. 

21 

F=.52S 
S=.  00010 

O 

iH 
WO 

a  5 
r»o 

& 

F«  1.056 
S=.  00020 

F=  1.320 
S=.O0025 

«s 
31 

ll 

F-  1.848 
S-.  00035 

«-* 

iH  O 

r-  O 

w"i 

U 

F=  2.376 
S=.  00045 

P-  2.640 
S-.OO050 

F=*  2.904 
S=.  00055 

.2 

.24 

.39 

.49 

.59 

.67 

.74 

.81 

.87 

.93 

.97 

1.03 

.4 

.43 

.67 

.85 

1.00 

1.13 

1.25 

1.36 

1.46 

1.56 

1.64 

1.73 

.({ 

.60 

.91 

1.15 

1.35 

1.52 

1.68 

1.82 

1.95 

2.08 

2.20 

2.31 

.8 

.75 

1.13 

1.42 

1.66 

1.86 

2.05 

2.23 

2.39 

2.51 

2.68 

2.82 

.0 

.89 

1.33 

1.66 

1.93 

2.17 

2.39 

2.59 

2.78 

2.95 

3.12 

3.27 

.2 

1.03 

1.51 

1.88 

2.19 

2.46 

2.71 

2.93 

3.14 

3.34 

3.52 

3.70 

.4 

1.15 

1.68 

2.09 

2.43 

2.73 

3.00 

3.25 

3.48 

3.69 

3.89 

4.09 

.6 

1.27 

1.84 

2.29 

2.66 

2.98 

3.27 

3.54 

3.79 

4.03 

4.25 

4.46 

.8 

1.38 

2.00 

2.47 

2.87 

3.22 

3.53 

3.82 

4.09 

4.34 

4.58 

4.81 

.() 

1.49 

2.15 

2.65 

3.07 

3.45 

3.78 

4.09 

4.38 

4.65 

4.90 

5.14 

.2 

1.60 

2.29 

2.82 

3.27 

3.66 

4.02 

4.35 

4.65 

4.93 

5.20 

5.46 

.4 

1.70 

2.43 

2.99 

3.46 

3.87 

4.25 

4.59 

4.91 

5.21 

5.49 

6.77 

.6 

1.79 

2.56 

3.15 

3.64 

4.08 

4.47 

4.83 

5.17 

5.48 

5.78 

6.06 

.8 

1.89 

2.69 

3.30 

3.82 

4.27 

4.68 

5.06 

5.41 

5.74 

6.05 

6.34 

.0 

1.98 

2.81 

3.45 

3.99 

4.46 

4.89 

5.28 

5.65 

5.99 

6.31 

6.62 

.2 

2.07 

2.93 

3.60 

4.15 

4.64 

5.09 

5.50 

5.88 

6.23 

6.57 

6.89 

.4 

2  16 

3.05 

3.74 

4.31 

4.82 

5.28 

5.70 

6.10 

6.47 

6.82 

7.15 

.« 

2  25 

3.17 

3.88 

4.47 

5.00 

5.47 

5.91 

6.32 

6.70 

7.06 

7.40 

.8 

2  33 

3.28 

.01 

4.62 

5.17 

5.65 

6.11 

6.53 

6.92 

7.29 

7.65 

.0 

2.41 

3.39 

.14 

4.77 

5.33 

5.83 

6.30 

6.73 

7.14 

7.52 

7.89 

.« 

2.49 

3.50 

.27 

4.92 

5.49 

6.01 

6.49 

6.93 

7.35 

7.74 

8.13 

.4 

2.57 

3.60 

.39 

5.06 

5.65 

6.18 

6.67 

7.13 

7.56 

7.96 

8.35 

.0 

2.65 

3.70 

.51 

5.20 

5.80 

6.35 

6.86 

7.32 

7.76 

8.18 

8.57 

.8 

2.73 

3.80 

.63 

5.33 

5.95 

6.52 

7.03 

7.51 

7.96 

8.39 

8.79 

.0 

2.80 

3.90 

.75 

5.47 

6.10 

6.68 

7.21 

7.70 

8.16 

8.60 

9.01 

,'J 

2.88 

4.00 

.87 

5-60 

6.25 

6.84 

7.38 

7.88 

8.35 

8.80 

9.22 

.4 

2.95 

4.10 

.98 

5.73 

6.39 

7.00 

7.55 

8.06 

8.54 

9.00 

9.43 

.« 

3.02 

4.19 

5.09 

5.86 

6.53 

7.15 

7.71 

8.24 

8.73 

9.19 

9.64 

.8 

3.09 

4.28 

5.20 

5.98 

6.67 

7.30 

7.87 

8.41 

8.91 

9.38 

9.84 

..0 

3.16 

4.37 

5.31 

6.11 

6.81 

7.45 

8.03 

8.58 

9.09 

9.57 

10.0 

5.2 

3.23 

4.46 

5.42 

6.23 

6.94 

7.60 

8.19 

8.75 

9.27 

9.76 

10.2 

;.4 

3.29 

4.55 

5.52 

6.35 

7.07 

7.74 

8.35 

8.91 

9.44 

9.94 

10.4 

..(> 

3.36 

4.64 

5.63 

6.46 

7.20 

7.88 

8.50 

9.07 

9.61 

10.1 

10.6 

LM 

3.43 

4.72 

5.73 

6.58 

7.33 

8.02 

8.65 

9.23 

9.78 

10.3 

10.8 

.0 

3.49 

4.81 

5.83 

6.69 

7.46 

8.15 

8.80 

9.39 

9.95 

10.5 

11.0 

.r» 

3.65 

5.01 

6.08 

6.97 

7.77 

8.49 

9.16 

9.77 

10.3 

10.9 

11.4 

.0 

3.80 

5.21 

6.32 

7.24 

8.07 

8.82 

9.51 

10.2 

10.7 

11.3 

11.9 

1.5 

3.95 

5.41 

6.55 

7.50 

8.36 

9.13 

9.85 

10.5 

11.1 

11.7 

12.3 

M» 

4.10 

5.60 

6.77 

7.76 

8.64 

9.44 

10.2 

10.9 

11.5 

12.  !• 

12.7 

>.5 

4.24 

5.78 

6.99 

8.01 

8.92 

9.74 

10.5 

11.2 

11.9 

12.5 

13.1 

».o 

4.38 

5.96 

7.21 

8.25 

9.19 

10.0 

10.8 

11.5 

12.2 

12.9 

13.6 

.0 

4.65 

6.31 

7.62 

8.72 

9.70 

10.6 

11.4 

12.2 

12.9 

13.6 

14.2 

.0 

4.91 

6.65 

8.01 

9.17 

10.2 

11.2 

12.0 

12.8 

13.6 

14.3 

14.9 

.O 

6.15 

6.97 

8.39 

9.60 

10.7 

11.7 

12.6 

13.4 

14.2 

14.9 

15.6 

.0 

5.39 

7.28 

8.76 

10.0 

11.1 

12.2 

13.1 

14.0 

14.8 

15.6 

16.3 

.0 

6.63 

7.58 

9.12 

10.4 

11.6 

12.6 

13.6 

14.5 

15.4 

16.2 

16.9 

HYDRAULIC    AND   EXCAVATION    TABLES. 


19 


Table  2. — Velocity  of  water  infect  per  second  hased  on  Kutter's 
formula,  coefficient  of  roughness 

11 =.011 — Continued. 


-  i 

«§ 

.0 

e»«o 

: 

§r» 

4$ 

ac» 

NO 

csa 

g 

$ 

3  a 

CD  O 

0*0 

^'  O 

WO 

wo 

»co 

00  f< 

§*H 

*  tf 

iH  O 

"tO 

So 

O 

co 

wo 

to 

£ 

c* 

00    . 

w® 

^       • 

*^      • 

•4.  "** 

*c  **» 

l£  ^ 

CO    • 

i 

I:. 

'»« 

-.' 

!!  ii 
-  / 

*,* 

&u 

ii 

^J. 

&x 

!!  II 
MOD 

0.2 

1.08 

1,18 

1.17 

1.22 

1.26 

1.30 

1.34 

1.38 

1.41 

1.59 

0.4 

1.81 

1.X9 

1.94 

2.03 

2.10 

2.17 

2.23 

2.  30 

2.  36 

2.64 

0.6 

2.41 

2.  52 

2.62 

2.71 

2.  80 

2.89 

2.  97 

3.06 

3.14 

3.52 

O.8 

2.95 

3.07 

3.19 

3.30 

3.41 

3.  52 

3.  62 

3.73 

3.82 

4.28 

1.O 

3.42 

3.  57 

3.70 

3.84 

3.96 

4.09 

4.21 

4.33 

4.44 

4.97 

1.2 

3.86 

4.03 

4.18 

4.33 

4.47 

4.61 

4.75 

4.SS 

5.01 

5.61 

1.4 

4.27 

4.45 

4.62 

4.79 

4.94 

5.10 

5.25 

5.39 

5.54 

6.19 

1.6 

4.66 

5.04 

5.22 

5.39 

5.56 

5.72 

5.  8K 

6.03 

6.75 

1.8 

5.03 

5!  23 

5.43 

5.63 

5.81 

5.99 

6.17 

6.34 

6.50 

7.27 

2.0 

5.37 

5.  60 

5.81 

6.01 

6.21 

6.40 

6.59 

6.77 

6.95 

7.77 

3.2 

5.71 

5.94 

6.17 

6.38 

6.59 

6.  -SO 

7.00 

7.19 

7.38 

8.25 

2.4 

6.03 

6.27 

6.51 

6.74 

6.96 

7.18 

7.39 

7.59 

7.79 

8.71 

2.6 

6.33 

6.59 

6.84 

7.08 

7.31 

7.54 

7.76 

7.97 

8.18 

9.15 

3.8 

6.63 

6.90 

7.16 

7.42 

7.66 

7.89 

8.12 

8.34 

8.56 

9.57 

3.0 

6.92 

7.20 

7.47 

7.74 

7.99 

8.23 

8.47 

8.70 

8.93 

9.98 

3.2 

7.20 

7.49 

7.77 

8.05 

8.31 

S.56 

8.81 

9.05 

9.29 

10.4 

3.4 

7.47 

7.77 

8.07 

8.35 

8.62 

8.88 

9.14 

9.39 

9.64 

10.8 

3.6 

7.73 

8.05 

8.35 

8.64 

8.92 

9.20 

9.46 

9.72 

9.98 

11.2 

3.8 

7.99 

8.31 

8.63 

8.93 

9.22 

9.50 

9.78 

10.0 

10.3 

11.5 

4.0 

8.24 

8.57 

8.90 

9.21 

9.51 

9.80 

10.1 

10.4 

10.6 

11.9 

4.2 

8.48 

8.83 

9.16 

9.48 

9.79 

10.1 

10.4 

10.7 

10.9 

12.2 

4.4 

8.72 

9.08 

9.42 

9.75 

10.1 

10.4 

10.7 

11.0 

11.3 

12.6 

4.6 

8.96 

9.32 

9.67 

10.0 

10.3 

10.7 

11.0 

11.3 

11.6 

12.9 

4.8 

9.19 

9.56 

9.92 

10.3 

10.6 

10.9 

11.2 

11.5 

11.8 

13.2 

5.O 

9.41 

9.80 

10.2 

10.5 

10.9 

11.2 

11.5 

11.8 

12.1 

13.6 

5.2 

9.63 

10.0 

10.4 

10.8 

11.1 

11.5 

11.8 

12.1 

12.4 

13.9 

5.4 

9.85 

10.3 

10.6 

11.0 

11.4 

11.7 

12.0 

12.4 

12.7 

14.2 

5.6 

10.1 

10.5 

10.9 

11.2 

11.6 

12.0 

12.3 

12.6 

13.0 

14.5 

5.8 

10.3 

10.7 

11.1 

11.5 

11.8 

12.2 

12.6 

12.9 

13.2 

14.8 

6.0 

10.5 

10.9 

11.3 

11.7 

12.1 

12.5 

12.8 

13.2 

13.5 

15.1 

0.2 

10.7 

11.1 

11.5 

11.9 

12.3 

12.7 

13.1 

13.4 

13.8 

15.4 

0.4 

10.9 

11.3 

11.8 

12.2 

12.6 

12.9 

13.3 

13.7 

14.0 

15.7 

0.6 

11.1 

11.5 

12.0 

12.4 

12.8 

13.2 

13.6 

13.9 

14.3 

15.9 

0.8 

11.3 

11.7 

12.2 

12.6 

13.0 

13.4 

13.8 

14.2 

14.5 

16.2 

7.0 

11.5 

11.9 

12.4 

12.8 

13.2 

13.6 

14.0 

14.4 

14.8 

16.5 

7.5 

11.9 

12.4 

12.9 

13.3 

13.8 

14.2 

14.6 

15.0 

15.4 

17.2 

8.0 

12.4 

12.9 

13.4 

13.8 

14.3 

14.7 

15.1 

15.5 

15.9 

17.  Sr 

8.5 

12.8 

13.4 

13.8 

14.3 

14.8 

15.2 

15.7 

16.1 

16.5 

9.O 

13.3 

13.8 

14.3 

14.8 

15.3 

15.7 

16.2 

16.6 

17.1 

9.5 

13.7 

44.2 

14.8 

15.3 

15.8 

16.2 

16.7 

1O.O 

14.1 

14.6 

15.2 

15.7 

16.2 

16.7 

17.2 

ll.O 

14.9 

15.5 

16.0 

16.6 

17.1 

12.O 

15.6 

16.2 

16.8 

13.O 

16  3 

17.0 

14.O 

17.0 

20 


HYDKAULIC   AND  EXCAVATION    TABLES. 


Table  2. — Velocity  of  water  in  feet  per  second,  based  on  Kutter's 
formula,  coefficient  of  roughness 

n=.011 — Continued. 


wet.  per. 

4 

SI 

ii 

F=9.24 
S=.OO175 

F-  10.56 
8=  .002 

F=  15.84 
S-.003 

w 

—  - 

<H£ 
«<3 

ii 

F=  26.40 
S=.005 

F=31.68 
S=.006 

F=  43.34 

S-.008 

F=  52.80 
S=.010 

.2 
.1 
.(» 
.8 
.0 

.X 
.4 
.6 

.8 
.0 

.2 

.4 
.0 

.8 
.0 

.a 

.4 

.6 
.8 
.0 

0 

1.74 
2.90 
3.86 
4.70 
5.45 

6.15 
6.79 
7.40 
7.97 
8.52 

9.04 
9.54 
10.0 
10.5 
10.9 

11.4 

11.8 
12.2 
12.6 
13.0 

13  4 

1.88 
3.14 
4.17 
5.08 
5.89 

6.64 
7.34 
8.00 
8.61 
9.20 

9.77 
10.3 
10.8 
11.3 
11.8 

12.3 
12.8 
13.2 
13.6 
14.1 

14  5 

2.02 
3.36 
4.47 
5.43 
6.30 

7.11 
7.85 
8.55 
9.21 
9.84 

10.4 
11.0 
11.6 
12.1 
12.6 

13.1 
13.6 
14.1 
14.6 
15.0 

15  5 

2.48 
4.12 

5.48 
6.66 
7.73 

8.71 
9.61 
10.5 
11.3 
12.1 

12.8 
13.5 
14.2 
14.8 
15.5 

16.1 

16.7 
17.3 
17.9 
18.4 

18  9 

2.87 
4.77 
6.33 
7.70 
8.93 

10.1 
11.1 
12.1 
13.0 
13.9 

14.8 
15.6 
16.4 
17.2 
17.9 

18.6 
19.3 
20.0 
20.6 
21.2 

21  9 

3.21 

5.33 
7.08 
8.61 
9.99 

11.3 
12.4 
13.5 
14.6 
15.6 

16.5 
17.4 
IS.  3 
19.2 
20.0 

20.8 
21.6 
22.3 
23.0 
23.7 

24  4 

3.52 
5.85 
7.76 
9.44 
10.9 

12.3 
13.6 
14.8 
16,0 
17.1 

18.1 
19.1 
20.1 
21.0 
21.9 

22.8 
23.6 
24.4 
25.2 
26.0 

26.8 

4.07 
6.75 
8.97 
10.9 
12.6 

14.2 
15.7 
17.1 
18.5 
19.7 

20.9 
22.1 
23.2 
24.2 
25.3 

26.3 
27.3 
28.2 
29.1 
30.0 

4.55 
7.56 
10.0 
12.2 
14.1 

15.9 
17.6 
19.2 
20.6 
22.0 

23.4 
24.7 
25.9 
27.1 
28.3 

29.4 
30.5 
31.5 
32.6 
33.6 

^ 

13  8 

14  9 

15  9 

19  5 

22  5 

25  1 

27  5 

f; 

14  1 

15  3 

16  3 

20  0 

23  1 

25.8 

28.3 

4 

14  5 

15  7 

16  7 

20  5 

23  7 

26  4 

29.0 

o 

14  9 

16.0 

17  1 

21  0 

24  2 

27  I 

29  7 

o 

1=0 

1ft  4. 

17   *i 

21  5 

24  g 

4. 

ice 

16  x 

17  9 

22  0 

25  4 



g 

15  9 

17  1 

18  3 

22  4 

25  9 

a 

16  2 

17  5 

18  7 

22  9 

26  4 

n 

16.5 

17  8 

19  1 

23  3 

28  9 

•> 

16  8 

18  2 

19  4 

^ 

17  2 

18  5 

19  8 

fj 

17  1 

18  8 

20  1 

g 

17  8 

19  2 

20  5 

(i 

18.1 

19  5 

20  g 

g 

18.8 

20  3 

(l 

JQ  R 

21  1 

HYDRAULIC   AND   EXCAVATION   TABLES. 


21 


Table  3. — Velocity  of  water  in  feet  per  second,  based  on  Kutter's 
formula,  coefficient  of  roughness 

11  =.01 2. 


ll 

«  •% 

£ 

*! 

0 

8! 

fi 

ON 

US  O 

oe 

i-5  *? 
II  1! 

fcao 

^5  . 
II  II 

fax 

ii 
z,: 

si 

•M  «S 
«*? 

feOJ 

«3 
"I 

e*^ 

ii  n 
tra 

o* 

*J^ 

II  II 

faGQ 

ii 

K    . 

fet» 

ft 

br/> 

tato 

&tt 

fa* 

0.2 

.22 

.34 

.44 

.52 

.CO 

.66 

.72 

.77 

.83 

.87 

•92 

0.4 

.39 

.60 

.75 

.90 

1.02 

1.12 

1.22 

1.31 

1.40 

1.48 

1.55 

0.6 

.54 

.82 

'1.03 

1.22 

1.37 

1.51 

1.64 

1.76 

1.88 

1.98 

2.C8 

0.8 

.68 

1.02 

1.28 

1.50 

1.69 

1.86 

2.02 

2.16 

2.30 

2.43 

2.55 

1.0 

.81 

1.20 

1.50 

1.75 

1.97 

2.17 

2.36 

2.52 

2.68 

2.83 

2.07 

1.2 

.93 

1.37 

1.71 

1.99 

2.23 

2.46 

2.66 

2.85 

3.03 

3.20 

3.36 

1.4 

1.05 

1.53 

1.90 

2.21 

2.48 

2.73 

2.95 

3.16 

3.36 

3.5f> 

3.72 

l.G 

1.15 

1.68 

2.08 

2.42 

2.71 

2.98 

3.23 

3.46 

3.67 

3.87 

4.06 

1.8 

1.26 

1.82 

2.26 

2.62 

2.94 

3.22 

3.49 

3.73 

3.96 

4.18 

4.3S 

2.0 

1.36 

1.96  1  2.42 

2.81 

3.15 

3.45 

3.73 

4.00 

4.24 

4.47 

4.69 

2.2 

1.46 

2.09 

2.58 

2.99 

3.35 

3.67 

3.97 

4.25 

4.51 

4.76 

4.99 

2.4 

1.55 

2.22 

2.73 

3.16 

3.54 

3.88 

4.20 

4.49 

4.77 

5.03 

5.27 

2.6 

1.61 

2.34 

2.88 

3.33 

3.73 

4.09 

4.42 

4.73 

5.01 

5.29 

5.  "5 

2.8 

1.73 

2.46 

3.02 

3.49 

3.91 

4.29 

4.63 

4.96 

5.25 

5.54 

5.81 

3.0 

1.82 

2.58 

3.16 

3.65 

4.09 

4.47 

4.84 

6.17 

5.49 

5.78 

•6.07 

3.2 

1.90 

2.69 

3.30 

3.81 

4.26 

4.66 

5.04 

5.38 

5.71 

6.02 

6-31 

3.4 

1.98 

2.80 

3.43 

3.96 

4.42 

4.84 

5.23 

5.59 

5.83 

6.25 

6.55 

3.6 

2.06 

2.91 

3.55 

4.10 

4.58 

5.02 

5.42 

5.79 

6.14 

6.47 

6.79 

3.8 

2.14 

3.01 

3.68 

4.24 

4.74 

5.19 

5.60 

5.99 

6.36       6.69 

7.02 

i.O 

2.22 

3.11 

3.80 

4.37 

4.89 

5.35 

5.78 

6.18 

6.55 

6.91 

7.24 

4.2 

2.29 

3.21 

3.92 

4.52 

5.04 

5.52 

5.96 

6.37 

6.75 

7.11 

7.46 

4.4 

2.37 

3.31 

4.04 

4.65 

5.19 

5.68 

6.13 

6.55 

6.94 

7.32 

7.67 

4.6 

2.44 

3.40 

4.15 

4.78 

5.33 

5.84 

6.20 

6.73 

7.13 

7.52 

7.88 

4.8 

2.51 

3.50 

4.26 

4.91 

5.47 

5.99 

6.46 

6.GO 

7.32 

7.71 

8.09 

5.0 

2.58 

3.59 

4.37 

5.03 

5.61 

6.14 

6.63 

7.C8 

7.50 

7.90 

8.29 

5.2 

2.65 

3.68 

4.48 

5.15 

5.75 

6.29 

6.78 

7.25 

7.68 

8.C9 

8.48 

5.4 

2.72 

3.77 

4.58 

5.27 

5.88 

6.43 

6.94 

7.41 

7.86 

8.28 

8.C8 

5.6 

2.78 

3.86 

4.69 

5.39 

6.01 

6.58 

7.09 

7.58 

8.03 

8.46 

S.S7 

5.8 

2.85 

3.94 

4.79 

5.51 

6.14       6.72 

7.25 

7.74 

8.20 

8.64 

9.06 

6.0 

2.91 

4.03 

4.89 

5.62 

6.27       6.85 

7.39 

7.SO 

8.37 

8.81 

ft.  24 

6.2 

2.98 

4.11 

4.99 

5.74 

6.39      6.99 

7.54 

8.06 

8.53 

8.99 

9.42 

6.4 

3.04 

4.20 

5.09 

5.85 

6.52  i    7.12 

7.68 

8.20 

8.69 

9.16 

9.60 

6.6 

3.10 

4.28 

5.19 

5.96 

6.64       7.26 

7.83 

8.36 

8.85 

9.33 

6.77 

6.8 

3.15 

4.36 

5.28 

6.07 

6.76       7.39 

7.97 

8.41 

9.01 

9.49 

9.93 

7.0 

3.20 

4.44 

5.38 

6.17 

6.88 

7.51 

8.10 

8.65 

9.17 

9.66 

10.1 

7.5 

3.35 

4.63 

5.60 

6.43 

7.17 

7.83 

8.44 

9.01 

9.55 

10.1 

10.5 

S.O 

3.49 

4.82 

5.83 

6.C8 

7.44 

8.13 

8.77 

9.36 

9.91 

10.4 

10.9 

8.5 

3.64 

5.00 

6.04 

6.93 

7.72 

8.43 

9.08 

9.70 

10.3 

10.8 

11.3 

9.0 

3.79 

5.17 

6.25 

7.17 

7.98 

8.72 

9.39 

10.0 

10.6 

11.2 

11.7 

0.5 

3.93 

5.35 

6.46 

7.40 

8.24 

9.00 

9.69 

10.3 

11.0 

11.5 

12.1 

10 

4.06 

5.52 

6.66 

7.63 

8.49 

9.27 

9.99 

10.7 

11.3 

11.9 

12.5 

41 

4.31 

5.85 

7.04 

8.06 

8.97 

9.79 

10.5 

11.3 

11.9 

12.6 

13.2 

12 

4.55 

6.16 

7.41 

8.48 

9.43 

10.3 

11.1 

11.8 

12.5 

13.2 

13.8 

13 

4.78 

6.46 

7.77 

8.89 

9.88 

10.8 

11.6 

12.4 

13.1 

13.8 

14:  15 

U 

5.01 

6.75 

8.11 

9.28 

10.3 

11.3 

12.1 

12.9 

13.7 

14.4 

15.1 

15 

5.23 

7.03 

8.44 

9.65 

10.7    1  11.7 

12.6 

13.4 

14.2 

15.0 

1S.7 

22 


HYDRAULIC   A^T)   EXCAVATION    TAKLKS. 


Table  3. —  Velocity  of  water  in  feet  per  second,  based  on  KuUer's 
formula,  coefficient  of  roughness 

il  =.O1  2  —  Continued. 


i 

il 

«* 

si 

«* 

§g 
o 

W    • 

ii 

«® 

ii 

^  . 

**  . 

« 

<£  Si 

si 

»s  . 

!l 

!l 

i  ^ 

II  II 

11    i! 

n  ii 

!!   II 

n  n 

II  II 

II  II 

II   II 

II    i; 

i 

hsc 

feu 

-•/ 

feCfi 

E*W 

*  / 

.  / 

••f.  t. 

i.'/. 

fax 

9.2 

.96 

1.01 

1.05 

1.08 

1.12 

1.16 

1.19 

1.23 

1.26 

1.42 

0.4 

1.63 

1.70 

1.76 

1.83 

1.89 

1.95 

2.01 

2.07 

2.12 

2.3S 

9.6 

2.18 

2.27 

2.36 

2.45 

2.53 

2.61 

2.69 

2.76 

2.84 

3.18 

9.8 

2.67 

2.78 

2.89 

2.99 

3.09 

3.19 

3.28 

3.37 

3.46 

3.88 

1.0 

3.11 

3.24 

3.36 

3.48 

3.60 

3.71 

3.82 

3.93 

4.02 

4.51 

1.2 

3.51 

3.66 

3.80 

3.93 

4.07 

4.19 

4.32 

4.44 

4.55 

5.10 

1.4 

3.89 

4.05 

4.21 

4.35 

4.50 

4.64 

4.78 

4.92 

5.04 

5.64 

1.6 

4.25 

4.42 

4.59 

4.75 

4.91 

5.06 

».21 

5.36 

5.50 

6.15 

1.8 

4.58 

4.77 

4.96 

5.13 

5.30 

5.46 

5.63 

5.78 

5.93 

6.64 

8.0 

4.90 

5.11 

5.30 

5.49 

5.67 

5.85 

6.02 

6.18 

6.34 

7.10 

5.2 

5.21 

5.43 

5.63 

5.83 

6.03 

6.21 

6.39 

6.57 

6.74 

7.54 

J.4 

5.51 

5.74 

5.95 

6.16 

6.37 

6.56 

6.75 

6.94 

7.12 

7.96 

J.« 

5.79 

6.03 

6.26 

6.48 

6.69 

6.90 

7.10 

7.30 

7.49 

8.37 

5.8 

6.07 

6.32 

6.56 

6.79 

7.01 

7.23 

7.44 

7.64 

7.84 

8.77 

1.0 

6.34 

6.60 

6.84 

7.08 

7.32 

7.54 

7.76 

7.97 

8.18 

9.15 

1.2 

6.59 

6.86 

7.12 

7.37 

7.P2 

7.85 

8.08 

8.30 

8.5  1 

9.52 

1.4 

6.85 

7.13 

7.39 

7.65 

7.fO 

8.15 

8.S8 

8.61 

8.84 

9.88 

1.6 

7.09 

7.38 

7.66 

7.93 

8.19 

8.44 

8.t'8 

8.92 

9.  15 

10.2 

1.8 

7.33 

7.63 

7.91 

8.19 

8.46 

8.72 

8.S7 

9.22 

9.46 

10.6 

1.0 

7.57 

7.87 

8.17 

8.45 

8.73 

9.00 

9.26 

9.51 

9.75 

10.9 

1.2 

7.79 

8.11 

8.41 

8.71 

8.99 

9.26 

9.53 

9.79 

10.1 

11.2 

1.4 

8.01 

8.34 

8.65 

8.95 

9.25 

9.53 

9.80 

10.1 

10.3 

11.6 

1.6 

8.23 

8.56 

8.89 

9.20 

9.50 

9.79 

10.1 

10.3 

10.6 

11.9 

1.8 

8.44 

8.79 

9.12 

9.43 

9.74 

10.0 

10.3 

10.6 

10.9 

12.2 

5.0 

8.65 

9.00 

9.34 

9.67 

9.98 

10.3 

10.6 

10.9 

11.2 

12.5 

5.2 

8.86 

9.22 

9.56 

9.90 

10.2 

10.5 

10.8 

11.1 

11.4 

12.8 

».4 

9.06 

9.43 

9.78 

10.1 

10.5 

10.8 

11.1 

11.4 

11.7 

13.1 

i.G 

9.26 

9.63 

9.99 

10.3 

10.7 

11.0 

11.3 

11.6 

11.9 

13.3 

5.8 

9.45 

9.84 

10.2 

10.6 

10.9 

11.2 

11.6 

11.9 

12.2 

13.6 

5.0 

9.65 

10.0 

10.4 

10.8 

11.1 

11.5 

11.8 

12.1 

12.4 

13.9 

8.2 

9.84 

10.2 

10.6 

11.0 

11.3 

11.7 

12.0 

12.4 

12.7 

14.2 

6.4 

10.0 

10.4 

10.8 

11.2 

11.6 

11.9 

12.3 

12.6 

12.9 

14.4 

6.6 

10.2 

10.6 

11.0 

11.4 

11.8 

12.1 

12.5 

12.8 

13.1 

14.7 

6.8 

10.4 

10.8 

11.2 

11.6 

12.0 

12.3 

12.7 

13.0 

13.4 

14.9 

7.0 

10.6 

11.0 

11.4 

11.8 

12.2 

12.6 

12.9 

13.3 

13.6 

15.2 

7.5 

11.0 

11.4 

11.9 

12.3 

12.7 

13.1 

13.4 

13.8 

14.2 

ISA 

8.0 

11.4 

11.9 

12.3 

12.8 

13.2 

13.6 

14.0 

14.3 

14.7 

16.4 

8.5 

11.8 

12.3 

12.8 

13.2 

13.6 

14.1 

14.5 

14.8 

15.2 

17.0 

9.9 

12.2 

12.7 

13.2 

13.7 

14.1 

14.5 

14.9 

15.3 

.15.7 

17.6 

9.5 

12.6 

13.1 

13.6 

14.1 

14.5 

15.0 

15.4 

15.8 

16.2 



9 

13.0 

13.5 

14.0 

14.5 

15.0 

15.4 

15.9 

16.3 

16.7 

1  .  *.l 

[ 

13.7 

14.3 

14.8 

15.3 

2 

14  4 

is!o 

15.6 

16!l 

| 

15  1 

16.7 

16.3 

16^8 

*   .    .   .  • 

4 

157 

16  4 

17  0 

i7!e 

5 

16.4 

17.0 

17.6 

18.3 

HYDRAULIC    AND   EXCAVATION    TABLES. 


23 


Table  &• — Velocity  of  water  in  feet  per  second,  based  on  gutter's 
formula,  coefficient  of  roughness 

n  =.012— Continued. 


I1 

3       4-> 

1 

if 

A 

li 

*g 

S| 
R? 

li 

If 

3« 

& 

|l 

||     || 

II  II 

li  It 

II  II* 

II    II 

u  n 

II  II 

n  it 

h 

h« 

face 

h% 

fa<n 

fett 

faCO 

fcoo 

fe« 

fea 

0.2 

1.56 

1.68 

1.80 

2.21 

2.56 

2.87 

3.14 

3.63 

4.0 

0.4 

2.61 

2.82 

3.02 

3.71 

4.29 

4.80 

5.26 

6.08 

6.8 

0.6 

3.49 

3.77 

4.03 

4.95 

5.72 

6.40 

7.01 

8.10 

9.1 

0.8 

4.25 

4.60 

4.92 

6.03 

6.97 

7.80 

8.55 

9.87 

11.0 

1.0 

4.95 

5.35 

5.72 

7.02 

8.11 

9.07 

9.93 

11.5 

12.8 

1.2 

5.59 

6.04 

6.46 

7.92 

9.15 

10.2 

112 

13.0 

14.5 

1.4 

6.18 

6.68 

7.15 

8.76 

10.1 

11.3 

12.4 

14.3 

16.0 

1.6 

6.74 

7.29 

7.79 

9.53 

11.0 

12.3 

13.5 

15.6 

17.4 

1.8 

7.27 

7.86 

8.40 

10.3 

11.9 

13.3 

14.6 

16.8 

18.8 

2.0 

7.78 

8.40 

8.99 

11.0 

12.7 

14.2 

15.6 

18.0 

20.1 

2.2 

8.26 

8.93 

9.54 

11.7 

13.5 

15.1 

16.5 

19.1 

21.4 

2.4 

8.72 

9.43 

10.1 

12.4 

14.3 

16.0 

17.5 

20.2 

22.6 

2.6 

9.17 

9.91 

10.6 

13.0 

15.0 

16.8 

18.4 

21.2 

23.7 

2.8 

9.61 

10.4 

11.1 

13.6 

15.7 

17.5 

19.2 

22.2 

24.8 

3.0 

10.0 

10.8 

11.6 

14.2 

16.4 

18.3 

20.1 

23.2 

25.9 

3.2 

10.4 

11.3 

12.0 

14.8 

17.0 

19.0 

20.9 

24.1 

26.9 

3.4 

10.8 

11.7 

12.5 

15.3 

17.7 

19.8 

21.6 

25.0 

27.9 

3.6 

11.2 

12.1 

12.9 

15.8 

18.3 

20.5 

22.4 

25.9 

28.9 

3.8 

11.6 

12.5 

13.4 

16.4 

18.9 

21.1 

23.2 

26.7 

29.9 

4.0 

11.9 

12.9 

13.8 

16.9 

19.5 

21.8 

23.9 

27.6 

30.8 

4.2 

12.3 

13.3 

14.2 

17.4 

20.1 

22.4 

24.6 

28.4 

31.7 

4.4 

12.7 

13.7 

14.6 

17.9 

20.6 

23.1 

25.3 

29.2 

32.6 

4.6 

13.0 

14.0 

15.0 

18.4 

21.2 

23.7 

26.0 

30.0 

33.5 

4.8 

13.3 

14.4 

15.4 

18.8 

21.7 

24.3 

26.6 

30.7- 

34.4 

5.0 

13.7 

14.7 

15.8 

19.3 

22.3 

24.9 

27.3 

31.5 

35.2 

5.2 

14.0 

15.1 

16.1 

19.7 

22.8 

25.5 

5.4 

14.3 

15.4 

16.5 

20.2 

23.3 

26.1 

5.6 

14.6 

15.8 

16.9 

20.6 

23.8 

5.8 

14.9 

16.1 

17.2 

21.1 

24.3 

9.0 

15.2 

16.4 

17.6 

21.5 

24.8 

6.2 

15.5 

16.7 

17.9 

21.9 

6.4 

15.8 

17.1 

182 

22.3 

6.6 

16.1 

17.4 

18.6 

6.8 

16.4 

17.7 

18.9 

7.0 

16.6 

18.0 

19.2 

7.5 

17.3 

18.7 

8.0 

18.0 

19.4 

8.5 

18.6 

24 


HYDRAULIC   AND  EXCAVATION    TABLES. 


Table  4.  —  Velocity  of  water  in  feet  per  second,  based  on  Kutter's 
formula,  coefficient  of  roughness 

ii  «  .013. 


s  i 
I1 

»O 

**o 

•50  O 

NO 

II  II 

fr« 

«S 

Ii  if 
6hB 

NS 
II  if 

has 

H  ® 

HI! 
feos 

F  =  1.320 
S  =  .00025 

H® 

INI 

fcK 

I!  if 

free 

«® 

H  6 
H  O 

ei°. 

II  II 

Pfttt 

F  =  2.376 
S  =  .00045 

w^ 

11  II 

frca 

O.3 

.20 

.31 

.40 

.47 

0.53 

.60 

.65 

.70 

.74 

.79 

0.4 

.85 

.54 

.69 

.81 

092 

1.02 

1  11 

1.19 

1.27 

1.84 

O.G 

.49 

.75 

.94 

1.10 

1.25 

1.38 

1.50 

1.60 

1.70 

1.60 

0.8 

.62 

.93 

1.17 

136 

l.f>4 

1.70 

1.84 

1.97 

2.09 

•2.21 

1.0 

.74 

1.10 

1.37 

1.60 

1.80 

1.98 

2.15 

2.31 

2.45 

2.58 

1.8 

.85 

1.25 

1.56 

1.82 

2.05 

2.25 

2.44 

2.61 

2.78 

2.93 

1.4 

.96 

1.40 

1.74 

2  Of 

2.28 

250 

2.71 

2.90 

308 

8.25 

1.6 

1.06 

1.54 

1.91 

2.22 

2.49 

2.74 

296 

3.17 

337 

8.55 

1.8 

1.16 

167 

2.07 

2.40 

2.69 

296 

3.20 

3.43 

3.64 

3.83 

2.0 

1.25 

1.80 

2,23 

2.58 

2.89 

3.18 

3.44 

3.68 

3.90 

4.11 

3.2 

1.34 

1.92 

2.87 

2.75 

308 

3.38 

3.66 

3.91 

4.15 

4.37 

2.4 

1.43 

2.04 

2.52 

2.91 

326 

358 

3.87 

4.14 

4.39 

463 

2.6 

1.51 

2.16 

2.66 

3.07 

3.44 

3.77 

4.08 

4.36 

462 

4.87 

2.8 

1.59 

2.27 

2.79 

322 

361 

3.96 

4.27 

4.57 

4.85 

5.10 

3.0 

1.67 

2.38 

2.92 

3.S7 

3.77 

4.13 

4.46 

4.77 

5.06 

£.34 

3.8 

1.75 

2.48 

3.04 

3.51 

3.93 

4.32 

4.65 

497 

527 

5:53 

3.4 

183 

258 

3,17 

3.65 

4.09 

4.48 

4.83 

5.16 

548 

5.77 

3.6 

190 

2.68 

S.28 

3.79 

4'24 

4.64 

5.01 

5.85 

5.68 

5.98 

3.8 

1.98 

2.78 

3.40 

3.92 

438 

4.80 

5.18 

5.54 

5.87 

0.13 

4.0 

2.05 

2.88 

3.52 

4.05 

4.f>3 

4.96 

5.35 

5.71 

6.06 

6*8 

4.2 

2.12 

2.97 

3.63 

4.18 

4.07 

f».ll 

5.51 

589 

6.25 

0.58 

4.4 

2.19 

3.06 

3.74 

430 

4.80 

5.§6 

5.68 

606 

0,13 

677 

4.6 

2.26 

3.15 

3.84 

4.42 

4.94 

5.40 

5.83 

623 

6.00 

6.96 

4.8 

.  2.32 

3.24 

395 

4.  ,34 

5.07 

,5.55 

5.99 

6.89 

6.78 

7.14 

5.0 

2.39 

3.32 

4.05 

4.66 

5.20 

5.C.9 

6.14 

6.56 

6.05 

7.82 

5.2 

2.45 

3.41 

4.15 

4.78 

5.33 

5.83 

6.29 

6.71 

7.12 

,7:§0 

5.4 

2.52 

3.49 

4.25 

4.89 

5.46 

5.97 

6.44 

6.87 

7.28 

7.67 

5.6 

2.58 

3  58 

4.35 

5.00 

5.58 

6.10 

6.58 

7.02 

7.44 

7.-S4 

5.8 

2.64 

366 

4.45 

5.10 

5.70 

6.23 

6.72 

7.19 

7.00 

8.01 

6.0 

2.70 

3.74 

4.54 

5.22 

5.82 

6.36 

6.86 

7.82 

7.76 

8.17 

6.2 

2.76 

3.82 

4.63 

5.32  I     5.94 

6.49 

7.00 

7.47 

7.91 

H.33 

(J.4 

2.82 

389 

4.72 

5.43 

6.05 

6.02 

7.13 

7.01 

8.07 

K-14 

6.6 

2.88 

397 

482 

553 

6.17 

0.74 

7.26 

7  TA 

8.22 

*.«;> 

6.8 

2.94 

4.04 

4.90 

5.63 

6l»8 

6.86 

7.40 

7.89 

836 

•8.80 

7.0 

3.00 

4.12 

4.99 

5.73 

6.39  1     6.98 

7.52 

8.03 

8.51 

-8,96 

7.5 

3.17 

4.30 

5.20 

5.98 

6.66  I     7.28 

7.84 

8.30 

880 

8.O 

828 

4.48 

5.42 

621 

692       7.56 

815 

809 

9.21 

970 

8.5 

3.40 

4.65 

5.62 

644 

7.18       7.84 

845 

901 

9.55 

10.0 

9.0 

8.56 

•4.81 

•5.82 

6.07 

7.43 

8.11        8.74 

9.32 

9.87 

104 

0.5 

8.  66 

4.98 

6.01 

6.89 

7.07 

8.37 

9.02 

9.02 

10.2 

10.7 

1O 

3.78 

5.14 

6.20 

7.10 

7.91 

8.63 

9.30 

9.91 

10.5 

11.0 

11 

4.02 

5.44 

6.56 

7.51 

8.36 

9.12 

9.82 

10.5 

11.1 

11.7 

18 

4.25 

5.74 

6.91 

7.90 

880 

9.59 

10.3 

11.0 

11.7 

123 

13 

4.47 

6.02 

7.24 

8.28 

922 

100 

108 

11.5 

12.2 

12.8 

14 

4.68 

629 

7.57 

8.64 

9.62 

105 

113 

12.0 

128 

13.4 

15 

4.89 

6.56  I     7.88 

9.00 

10.0       10.9 

11.7 

12.5 

13.3 

13.9 

HYDRAULIC    AND   EXCAVATION    TABLES. 


25 


Tal>le  4.  —  Velocity  of  water  in  f set  per  second ',  based  on  Kutter's 
formula,  coefficient  of  roughness. 

n  =  .018 — Continued. 


,1* 

•~  \  " 

•IP 

ft 

F  =  2.904 
S  =  .00055 

il 

«®. 

n  n 

&3D 

w^ 
II  II 

taaa 

rc  "t 

mi 

hoo 

F  =  3.960 
S  =  .00075 

'<**. 
II  II 

fc» 

F  =  4.488 
S  =  .00085 

F  =  4.752 

S  =  .OOO90  i 

0§ 

11 

II  II 

6«a5 

il 
$% 
n  n 

fcc/3 

0.3 

.83 

.87 

0.90 

.94 

.98 

1.01 

1.04 

1.07 

1.10 

1.13 

0.4 

1.41 

1.47 

1.54 

l.fiO 

1.66 

1.71 

1.77 

1.82 

187 

1:92 

O.6 

1.89 

1.98 

2.06 

2.14 

222 

2.30 

2.37 

2.44 

253 

2.58 

0.8 

2.32 

2.43 

2.53 

2.f>3 

2.73 

2.82 

2.91 

2.99 

308 

316 

i.O 

2.71 

2.84 

2.96 

3.07 

3.18 

3.29 

3.39 

3.49 

3.59 

3.68 

1.2 

3.08 

8.21 

335 

8.48 

3.60 

3.73 

8.84 

8.95 

4.06 

4.17 

1.4 

3.41 

3.56 

3.71 

3.86 

4.00 

4.13 

4.26 

438 

4.50 

462 

1.6 

3.73 

3.89 

4.06 

4.21 

4.36 

4.51 

4.65 

478 

492 

5.05 

1.8 

403 

4.21 

4.38 

4.55 

472 

4.87 

502 

517 

531 

5.45 

3.0 

4.82 

4.51 

4.70 

4.87 

5.05 

5.22 

6.38 

5.53 

5.69 

5.84 

3.2 

4.59 

4.80 

5.00 

5.18 

5.37 

5.55 

5.72 

5.88 

6.05 

6.20 

2.4 

4.86 

5.07 

528 

5.48 

5.68 

5.87 

6.04 

6.22 

6.40 

6.66 

3.6 

5.11 

5.34 

5.56 

5.77 

5.98 

6.18 

6.36 

6.54 

673 

690 

3.8 

5.3G 

5.59 

5.82 

6.04 

62(i 

647 

666 

6.86 

705 

7.24 

3.0 

5.59 

5.84 

6.08 

6.31 

654 

6.76 

696 

7.16 

7.36 

7.55 

3.2 

5.82 

6.08 

6.33 

657 

6.81 

7.03 

7.24 

7.45 

7.66 

7.86 

3.4 

6.05 

6.32 

0.58 

6.82 

7.07 

7.30 

7.52 

7.74 

7.96 

8.16 

3.6 

0.27 

6.55 

6.82 

7.07 

7.32 

7.57 

7.79 

8.02 

8.24 

8.45 

3.8 

6.48 

6.77 

7.05 

731 

757 

7.83 

8.06 

8.29 

852 

8.74 

4.0 

6.69 

6.99 

7.27 

7.55 

7.82 

8.08 

8.31 

8.55 

8.79 

0.02 

4.3 

6.90 

7.20 

7.50 

7.78 

8.05 

8.32 

8.57 

8.82 

906 

9,29 

4.4 

7.10 

7.41 

7.71 

8.00 

8.28 

!  856 

8.81 

907 

932 

9.56 

4.6 

7.29 

7.61 

7.92 

8.22 

8.51 

879 

9.05 

931 

9.57 

9.82 

4.8 

7.48 

7.81 

8.13 

8.43 

874 

9.02 

9.29 

956 

982 

10.1 

o.O 

7.67 

8.01 

8.34 

8.65 

8.95 

9.25 

9.52 

9.80 

10.1 

10.8 

5.3 

7.86 

8.20 

8.54 

8.85 

917 

9.47 

975 

10.0 

103 

10.6 

5.4 

8.04 

8.39 

8.73 

9.06 

9.38 

969 

9.97 

10.8 

105 

10.8 

5.6 

8.21 

8.58 

8.93 

9.26 

9.59 

990 

10.2 

105 

10.8 

11  0 

•"'    it 

8.39 

8.76 

912 

9.46 

9.79 

10.1 

10.4 

10.7 

110 

118 

<u> 

8.56 

8.94 

9.30 

9.65 

9.99 

10.3 

10.6 

10.9 

11.2 

11.5 

6.3 

.8.73 

9.11 

'  9.49 

9.84 

10.2 

10.5 

10.8 

11.1 

11.4 

11.7 

6.4 

8.90 

9.29 

9.67 

10.0 

10.4 

10.7 

11.0 

114 

11.7 

12.0 

6.6 

9.07 

9.46 

9.85 

10.2 

10.6 

10.9 

11.2 

11.6 

11.9 

12.2 

(i.8 

9.23 

9.33 

10.0 

10.4 

10.8 

11.1 

11.4 

118 

12.1 

12.4 

7.0 

9.39 

9.80 

10.2 

10.6 

10.9 

11.8 

11.6 

12.0 

12.3 

12.6 

7.5 

.9.78 

10.2 

10.6 

11.0 

11.4 

11.8 

12.1 

12.5 

128 

13.1 

8.0 

10.2 

10.6 

11.0 

11.4 

11.8 

12.2 

12.6 

130 

13.3 

13.6 

8.5 

10.5 

11.0 

11.4 

11.8 

12.3 

12.7 

13.0 

134 

138 

Ml 

.».o 

109 

11.4 

118 

12.2 

12.7 

13.1 

135 

139 

142 

146 

9.5 

11.2 

11.7 

12.2 

12.6 

131 

13.5 

13.9 

14.3 

14,7 

151 

ID. 

11.6 

12.1 

12.6 

13.0 

13.5 

13.9 

14.3 

14,7 

15.2 

15.5 

11 

122 

12.8 

13.3 

13.8 

143 

14.7 

15.2 

15.6 

16.0 



12 

12.9 

13.4 

140 

145 

150 

15.5 

15.9 

16.4 

16.8 



13 

135 

140 

146 

15.1 

15.7 

162 

16.7 

171 

17.6 



14 

14.0 

14.7 

15.2 

15.8 

164 

16.9 

17.4 

17.9 

18.4 



15 

14.6 

15.2 

158 

164 

170 

176 

181 

186 

19.1 



26 


HYDRAULIC  AND  EXCAVATION   TABLES. 


Table  4.— Velocity  of  water  in  feet  per  second,  based  on  Kutter*s 
formula^  coefficient  of  roughness 

n=  .013— Continued. 


Hi 

II  " 

ii 

!i 

till 

h» 

if 
iiV 

*a 

>0 

4  5 

§§ 

ii  ii 

EM* 

!l 

III! 

Pa  00 

rt  * 

INI 

fcx 

3* 
^§ 
w  . 

II  !! 

ha 

II  II* 

fc» 

$* 

So 

II  II 

ha 

Ii 

11.11 

frtt 

occ 

« 

II  II 

fca 

0.3 

1.27 

1.40 

1.51 

1.62 

200 

2.30 

2.58 

2.83 

8.27 

3.65 

0.4 

2.16 

2.36 

2.56 

2.74 

3.36 

3.89 

4.36 

4.77 

5.51 

6.16 

O.6 

2.89 

8.17 

3.43 

3.67 

4.50 

5.20 

5.83 

6.38 

7.37 

8.24 

0.8 

3.54 

3.88 

4.19 

4.49 

5.51 

6.36 

7a3 

7.81 

9.02 

10.1 

l.O 

4.13 

4.52 

4.89 

5.23 

6.42 

7.41 

8.30 

9.10 

10.5 

11.7 

1.2 

4.67 

5.12 

5.53 

5.92 

7.26 

8.38 

9.38 

10.3 

11.9 

13.2 

1.4 

5.18 

5.67 

6.13 

6.56 

8.04 

9.28 

10.4 

11.4 

13.1 

14.7 

1.6 

565 

6.19 

6.69 

7.16 

8.77 

10.1 

113 

12.4 

14.3 

16.0 

1.8 

610 

668 

7.22 

7.72 

947 

10.9 

12.2 

13.4 

155 

17.3 

2.O 

6.53 

7.16 

7.73 

8.27 

10.1 

11.7 

13.1 

14.8 

16.6 

18.5 

2.2 

6.95 

7.61 

8.22 

8.79 

10.8 

12.4 

13.9 

15.2 

17.6 

19.6 

2.4 

734 

804 

8.69 

9.29 

11.4 

13.1 

1*.7 

16.1 

186 

Mfl 

2.6 

7.72 

8.46 

9.14 

977 

12.0 

13.8 

Io5 

16.9 

19.6 

21.8 

2.8 

8.09 

8.86 

9.57 

10.2 

12.5 

14.5 

162 

17.7 

205 

22.9 

3.0 

8.45 

9.25 

9.93 

10.7 

13.1 

15.1 

16.9 

18.5 

21.4 

23.9 

3.2 

8.79 

9.63 

10.4 

11.1 

13.6 

15.7 

17.6 

19.3 

22.2 

24.8 

3.4 

9.13 

100 

10.8 

11.5 

14.1 

163 

18.3 

200 

23.1 

25.8- 

3.6 

946 

103 

11.2 

11.9 

14.6 

16.9 

1*9 

20.7 

23.9 

26.7 

3.8 

9.78 

10.7 

11.6 

12.4 

15.1 

17.5 

19.6 

21.4 

2i.7 

27.6 

4.0 

10.1 

11.0 

11.9 

12.8 

15.6 

18.0 

2C.2 

22.1 

25.5 

28.5 

4.2 

10.4 

11.4 

12.3 

13.1 

161 

18.6 

21.8 

22.8 

26.3 

29.S 

4.4 

10.7 

11.7 

126 

13.5 

16.5 

191 

21.4 

23.4 

270 

30.2 

4.6 

11.0 

12.0 

13.0 

13.8 

17.0 

19.6 

21.9 

24.0 

277 



4.8 

11.3 

12.3 

135 

14.2 

17.4 

20.1 

22.5 

24.7 

28.5 



5.O 

11.6 

12.6 

13.6 

14.6 

17.9 

20.6 

23.1 

25.3 

5K.2 



5.2 

11.8 

13.0 

14.0 

14.9 

18.3 

21.1 

23.6 

25.9 

29.9 



5.4 

12.1 

13.2 

1-1.3 

153 

18.7 

21.6 

24.2 

26.5 

80.5 



5.6 

12.4 

13.5 

14.6 

15.6 

19.1 

22.1 

24.7 

270 

"..... 

5.8 

12.6 

13.8 

14.9 

159 

195 

22.5 

25.2 

27.6 





6.0 

12.9 

14.1 

15.2 

16.3 

19.9 

23.0 

25.7 

28.2 



.... 

6.2 

13.1 

14.4 

15.5 

16.6 

20.3 

•23.4 

26.2 

28.7 



...... 

6.4 

13.4 

146 

15.8 

169 

20.7 

23.9 

26.7 

29.3 





6.6 

136 

14.9 

16.1 

172 

21.1 

24.3 

27.2 

29.8 



..... 

6.8 

13.9 

15.2 

164 

175 

21.4 

24.8 

27.7 

80.3 



..... 

7.0 

14.1 

15.4 

16.7 

17.8 

21.8 

25.2 

28.2 

...... 

7.5 

14.7 

16.1 

174 

18.6 

22.7 

26.2 

29.3 







8.0 

153 

167 

180 

193 

236 

27.2 

30.4 







8.5 

15.8 

173 

187 

20  0 

24.4 

28.2 

9.O 

163 

17.9 

19.3 

20.6 

25.2 

29'l 

9.5 

169 

185 

199 

21  3 

260 

300 

*«. 

17.4 

19.0 

205 

219 

26.8 

80.9 



HYDRAULIC    AND   EXCAVATION    TABLES. 


27 


Table  5.—  Velocity  of  water  in  feet  per  second,  based  on  Kutterys 
formula^  coefficient  of  roughness 

.014. 


11 


d! 

i! 

ll 

A 

If 

ii 

if 

if 

si 

HQ 

|1 

fj 

•[! 

Illl 

Illl* 

if  ii 

II  if 

inf 

II  if 

Illl* 

Hll 

II  if 

Illl 

h 

feoD 

fcx 

pMOt 

hoo 

hoe 

ft* 

fcrc 

fcaa 

fc« 

fctt 

O.2 

.18 

.28 

.36 

.43 

.48 

.54 

.59 

.63 

.67 

.71 

0.4 

.32 

.49 

.63 

.74 

.84 

.93 

1.01 

1.08 

1.15 

1.22 

0.6 

.46 

•  .68 

.86 

1.01 

1.14 

1.26 

1.37 

1.47 

1.56 

1.65 

0.8 

.57 

.85 

1.07 

1.25 

1.41 

1.66 

1.69 

1.81 

1.92 

2.03 

l.O 

.68 

1.01 

1.20 

1.47 

1.66 

1.82 

1.98 

2.12 

2.25 

2.38 

1.2 

.78 

1.15 

1.44 

1.68 

1.89 

2.08         2.25 

2.40 

2.56 

2.70 

1.4 

.88 

1.29 

1.60 

1.87 

2.10 

2.31 

2.50 

2.67 

2.84 

3.00 

1.6 

.98 

1.42 

1.76 

2.05 

2.30 

2.53 

2.73 

2.93 

8.11 

3.28 

1.8 

1.07 

1.54 

1.91 

2.23 

2.49 

2.74 

2.96 

3.17 

336 

355 

2.0 

1.15 

1.66 

2.06 

2.39 

2.68 

2.94 

8.18 

8.40 

3.61 

3.81 

2.2 

1.24 

-1.78 

2.20 

2.54 

2.86 

3.13 

3.38 

3.62 

8.84 

4.05 

2!4 

1.32 

1.89 

2.33 

2.70 

8.02 

8.32 

8.58 

3.83 

4.07 

4/29 

2.6 

1.40 

2.00 

2.40 

2.84 

3.19 

3.50 

8.78 

4.04 

4.29 

4.52 

2.8 

1.48 

2.10 

2.59 

2.99 

3.35 

3.67 

8.96 

4.23 

4.49 

4.74 

3.0 

1.55 

2.20 

2.71 

3.13 

3.50 

8.84 

4.14 

4.43 

4.70 

4.95 

3.2 

1.63 

2.30 

2.82 

3.20 

8.65 

4.00 

4.32 

4.61 

4.89 

5.16 

3.4 

1.70 

2.40 

2.94 

3.39 

3.80 

4.16 

4.48 

4.79 

6.09 

5.3ti 

3.6 

1.77    S    2.49 

3.05 

3.52 

3.94 

4.31 

465 

4.97 

5.28 

5.56 

3.8 

1.84       2.59 

3.16 

8.65 

4.08 

4.46 

482 

5.14 

6.46 

5.75 

4.0 

1.91    I   2.67 

3.27 

8.77 

4.21 

4.61 

4.97 

5.81 

6.64 

5.94 

4.2 

1.97 

2.76 

3.38 

3.89 

4.35 

4.75 

5.13 

6.48 

6.81 

6.12 

4.4 

2.04 

2.85 

3.48 

400 

4.47 

4.90 

5.28 

5.64 

6.98 

6.30 

4.6 

2.10 

2.93 

358 

4.12 

4.60 

5.03 

5.43 

5.79 

6.15 

648 

4.8 

2.17 

3.02 

3.68 

4.23 

4.73 

5.17 

5.57 

5.95 

6.81 

6.65 

5.0 

2.23 

8.10 

3.77 

4.34 

4.85 

5.30 

6.72 

6.10 

6.47 

6.82 

5.2 

2.29 

3.18 

3.87 

445 

4.97 

5.43 

6.86 

6.25 

6.63 

6.98 

5.4 

2.35 

3.26 

896 

4.55 

5.09 

5.56 

5.99 

6.40 

6.78 

7.15 

5.6 

2.41 

8.33 

4.06 

4.66 

5.20 

5.68 

6.13 

6.54 

6.^4 

7.81 

5.8 

2.47 

3.41 

4.15 

4.76 

532 

5.81 

6.26 

668 

7.09 

7.47 

6.0 

2.52 

3.49 

4.23 

4.87 

5.43 

5.93 

6.39 

6.82 

7.24 

7.62 

6.2 

2.58 

3.56 

4.32 

4.96 

5.54 

6.05 

6.52 

6.96 

7.88 

7.77 

6.4 

2.64 

3.63 

441 

5.06 

5.65 

6.16 

6.65 

7.10 

7.52 

7.92 

6.6 

2.69 

3.69 

450 

5.16 

6.76 

6.29 

6.78 

7.23 

7.66 

8.07 

6.8 

2.75 

3.77 

458 

5.25 

5.86 

6.40 

6.90 

7.36 

7.80 

8.22 

7.0 

2.80 

3.85 

4.66 

5.35 

5.97 

6.51 

7.02 

7.49 

7.94 

8.86 

7.5 

2.93 

4.02    j   487 

5.58 

6.22 

6.79 

7.82 

7.81 

8.28 

8.72 

8.0 

8.06 

4.18    |   5.06 

580 

6.47 

7.06 

7.61 

8.12 

8.60 

9.06 

8.5 

8.19 

4.35 

5.26 

6.02 

6.71 

7.32 

7.89 

8.41 

8.92 

9.39 

9.0 

8.81 

4.50 

5.44 

6.23 

6.95 

7.58 

8.16 

870 

9.22 

9.71 

9.5 

8.43 

4.66 

5.62 

6.44 

7.18 

7.82 

843 

8.99 

9.52 

10.0 

10 

8.55 

4.81 

5.80 

6.64 

7.40 

8.07 

8.69 

9.27 

9.82 

10.8 

11 

8.77 

6.10 

6.15 

7.03 

7.83 

8.53 

9.19 

980 

10.4 

10.9 

12 

899 

538 

647 

7.40 

8.24 

8.98 

9.67 

10.3 

10.9 

11.5 

13 

4.20 

5.65 

679 

7.76 

8.64 

941 

10.1 

10.8 

11.4 

12.0 

14 

440 

590 

7.10 

8.10 

902 

982 

10.6 

113   . 

11.9 

12.6 

15 

4.60 

6.16 

7.39 

8.44 

939 

10.2 

11.0 

11.7 

12.4 

18.1 

28 


HYDRAULIC    AND  EXCAVATION    TABLES. 


Tal>le  5.— Velocity  of  water  in  feet  per  second,  based  on  Kutter's 
formula,  coefficient  of  roughness 

11  =  .O14r— Continued. 


*        % 

t   a 

V 

F  =  3.9O4 
S  =.00055 

F  =  3.168 
S  =  .OOO60 

NO 

ill! 
few 

o 

5? 

IMI 

few 

»5 

w? 
II  II 
few 

**<« 

It 

II  II 

few 

F  =  4.488 
g  ==  .00085 

g| 

i~C 

if  if 

few 

CC5 

iH  O 

3? 

II  I! 

few 

il 
31 

II  11 

few 

0.3 

.75 

.79 

.82 

.85 

.88 

.92 

.95 

.98 

1.00 

1.03 

0.4 

1.29 

1.34 

1.40 

1.46 

1.51 

1.56 

1.61 

1.66 

1  71 

1.75 

0.6 

1.74 

1.82 

1.89 

1.96 

2.04 

2.11 

2.18 

2.24 

230 

2.36 

0.8 

2.14 

2.23 

2.32 

2.42 

2.50 

2.59 

2.67 

2-75 

2.83 

2.90 

l.O 

2.50 

2.61 

2.72 

2.82 

2.93 

3.03 

8.12 

3.22 

3.30 

3.39 

1.2 

2.84 

2.96 

3.09 

8.20 

3.32 

3.43 

8.54 

3.64 

3.74 

8.84 

1.4 

8.15 

329 

3.43 

3.56 

3.69 

3.81 

3.93 

4.04 

4.16 

4.26 

1.6 

3.45 

3  GO 

3.75 

3.89 

4.03 

4.17 

4.30 

4.42 

4f>4 

4.66 

l.« 

3.73 

3.89 

4.05 

4.21 

4.36 

4.50 

4.65 

4.78 

491 

•5.04 

3.0 

4.00 

4.18 

4.85 

4.51 

4.67 

4.83 

4.98 

5.12 

5.26 

5.40 

3.3 

4.26 

4.44 

4-62 

4.80 

4.97 

5.14 

5.30 

5.45 

5.00 

5.74 

3.4 

4.50 

4.70 

4.89 

5.08 

5.26 

5.44 

5.60 

5.76 

5.92 

fi.07 

3.6 

4.75 

4.95 

5.15 

5.35 

5.54 

5.72 

5.90 

6.07 

6.24 

6.39 

3.8 

4.97 

5.19 

5.40 

5.61 

5.81 

6.00 

6.19 

6.36 

6.54 

6.70 

3.0 

5.20 

5.43 

5.64 

5.86 

6.07 

6.27 

6.46 

6.65 

f,  s:i 

7.0:) 

3.3 

5.41 

5.65 

5.88 

6.10 

6.32 

6.53 

6.73 

6.92 

7  11 

7.29 

3.4 

5.63 

5.87 

6.11 

6.34 

6.57 

6.78 

6.99 

7.19 

739 

7.58 

3.6 

5.83 

6.09 

6.33 

6.57 

6.81 

7.03 

7.25 

7.46 

7.f,« 

7.  85 

3.8 

6.04 

6.30 

6.55 

6.80 

7.04 

7.27 

7.50 

7.72 

7.98 

8.12 

4.O 

6.23 

6.50 

6.76 

7.02 

7.27 

7.51 

7.74 

7.96 

8.18 

8.38 

4.3 

6.42 

6.70 

6.97 

7.23 

7.4'.) 

7.74 

7.98 

8.20 

8.48 

8.64 

4.4 

6.61 

6.90 

7.17 

7.44 

7.71 

7.96 

8.21 

8.44 

8.67 

8.89 

4.6 

6.79 

7.09 

7.37 

7.65 

792 

8.18 

8.43 

8.68 

8.91 

9.14 

4.8 

6.97 

7.28 

7.57 

7.85 

8.13 

8.40 

8.66 

890 

9.15 

9.38 

5.0 

7.15 

7.46 

7.76 

8.05 

8.34 

8.61 

8.88 

9.13 

9.38 

9.61 

5.3 

7.83 

7.64 

7.95 

8.25 

8.54 

8.82 

9.09 

9.35 

9.60 

9.  85 

5.4 

7.50 

7.82 

8.13 

8.44 

8.74 

9.03 

9.30 

9.57 

9.82 

10.1 

5.6 

7.66 

8.00 

8.32 

8.63 

8.94 

9.23 

9.51 

978 

10.0 

10.3 

5.8 

7.83 

8.17 

8.49 

8.81 

9.13 

9.43 

9.71 

9.99 

10.3 

10.6 

6.0 

7.99 

8.84 

8.67 

9.00 

9.32 

9.62 

9.91 

10.2 

10.5 

10.7 

6.3 

8.15 

8.50 

8.84 

9.17 

950 

9.81 

10.1 

104 

in.  7 

10.9 

6.4 

8.31 

8.67 

9.01 

9.35 

9.68 

10.0 

108 

10.6 

10.9 

ll.t 

6.6 

8.46 

8.83 

9.18 

9.52 

9.87 

10.2 

10.5 

10.8 

11.1 

11.4 

6.8 

8.62 

8.99 

9.35 

9.69 

10.0 

10.4 

10.7 

11.0 

11.3 

11.* 

7.0 

8.77 

9.15 

9.51 

9.87 

10.2 

10.6 

10.9 

U.2 

11.5 

11.8 

7.5 

9.14 

9.53 

9.91 

10.8 

10.6 

11.0 

11.8 

11:6 

12.0 

12.3 

8.0 

9.50 

9.91 

10.3 

10.7    : 

11.1 

11.4 

11.8 

12.1 

12.4 

12.-7 

8.5 

9.84 

10.8 

10.7 

11.1    ; 

11.5 

11.8 

12.2 

12.6 

12.9 

13.2 

9.O 

10.2 

10.6 

11.0 

11.4    i 

11.8 

12.2 

12.6 

13.0 

13.3 

18.7 

9.5 

1.0.6 

11.0 

11.4 

11.8 

12.2 

12.6 

13.0 

13.4 

13.8 

14.1 

10 

10.8 

11.8 

11.8 

12.2 

12.6 

18.0 

13.4 

13.8 

14.2 

14.5 

11 

11:6    ' 

11.9 

12.4 

12.9 

13.3 

13.8 

14.2 

14.6 

15.0 



12 

120 

12.6 

13.1 

13.5    ; 

140 

14.5 

14.9 

153 

15.8 

13 

12.6    : 

13.2 

13.7 

14.2    i 

14.7 

15.2 

15.6 

161 

16.5 



14 

13.2 

13.7 

14.8 

148    ! 

15.8 

15.8 

16.3 

lfi.8 

17.2    . 

...... 

15 

137    ; 

14.8 

148 

15.4 

16.0 

16.5 

17.0 

17.4 

17.9 

...... 

HYDRAULIC  AND  EXCAVATION   TABLES. 


29 


Tabte  5. — Velocity  of  water  in  feet  per  second,  based  on  Kutter's 
formula,  coefficient  of  roughness 

n=  .01 4 — Continued. 


.  s 

«J     aj 

d    £ 

:|1 

if 

9.24= 
.OO175 

Ii 

H^ 

9* 

H  *1t 

sl 

3* 
Si 

§8 

w^ 

3* 

5l 

So 

o»H 
8® 

,  * 

Illl 

ii  II 

II  II 

II  II 

Illl 

II  It 

ll  II 

II  II 

ll  ll 

Illl 

u 

fc» 

*rc 

fc* 

fccC 

fc* 

fcrc 

Saw 

few 

fax 

fc« 

o.a 

1.15 

1.27 

137 

1.47 

1.81 

2.09 

2.34 

2.56 

2.% 

3.32 

0.4 

1.96 

2.15 

2.33 

250 

3.07 

3.55 

3.97 

435 

5.03 

5.62 

0.6 

264 

2.90 

3.14 

3.36 

4.12 

477 

5.33 

584 

6.75 

7.55 

O.8 

3.22 

3.54 

382 

4.10 

5.02 

5.81 

650 

7.12 

8.22 

9.20 

1.0 

3.77 

4.13 

4.47 

4.78 

5.86 

6.78 

7.58 

8.31 

9.59 

10.7 

1.9 

4.30 

4.71 

509 

5.45 

6.68 

7.72 

8.64 

9.46 

10.9 

12.2 

1.4 

4.77 

5.23 

5.65 

6.04 

7.41 

857 

9.58 

10.5 

12.1 

13.6 

1.6 

5.21 

5.71 

6.17 

6.60 

8.10 

936 

10.5 

11.5 

13.2 

14.8 

1.8 

5.63 

6.17 

6.67 

7.14 

875 

10.1 

11.3 

124 

14.3 

1G.O 

2.0 

6.04 

6.62 

7.16 

7.65 

9.37 

10.8 

12.1 

13.3 

15.3 

17.1 

2.2 

6.42 

7.04 

7.60 

8.13 

997 

11.5 

129 

14.1 

16.3 

18.2 

2.4 

6.79 

7.44 

8.04 

8.60 

10.5 

12.2 

136 

149 

17.2 

19.3 

2.6 

7.15 

7.84 

8.46 

905 

11.1 

128 

14.3 

15.7 

18.1 

203 

2.8 

7.50 

8.21 

8.87 

9.49 

11.6 

134 

15.0 

16.4 

19.0 

21.2 

3.0 

7.83 

8.58 

9.26 

9.91 

12.1 

14.0 

15.7 

17.2 

19.8 

22.2 

3.3 

8.16 

8.93 

9.65 

10.3 

12.6 

14.6 

16.3 

17.9 

20.6 

23.1 

3.4 

8.47 

9.28 

10.0 

10.7 

13.1 

152 

17.0 

18.6 

21.4 

24.0 

3.6 

8.78 

9.62 

10.4 

11.1 

13.6 

15.7 

17.6 

19.2 

22.2 

24.8 

3.8 

9.08 

995 

10.7 

11.5 

14.1 

16.2 

18.2 

19.9 

23.0 

25.7 

4.0 

9.37 

10.3 

11.1 

11.8 

14.5 

16.8 

18.7 

20.5 

23.7 

26.5 

4.2 

9.66 

10.6 

11.4 

12.2 

15.0 

17.3 

19.3 

21.2 

24.4 

27.3 

4.4 

9.94 

10.9 

11.7 

126 

15.4 

17.8 

19.9 

21.8 

25.1 

28.1 

4.6 

10.2 

11.2 

12.1 

12.9 

15.8 

18.2 

20.4 

22.4 

25.8 

28.8 

4.8 

10.5 

11.5 

124 

13.2 

16.2 

18.7 

21.0 

22.9 

26.5 

29.6 

5.0 

10.7 

11.8 

12.7 

13,6 

16.6 

19.2 

21.5 

23.5 

27.1 

30.4 

5.2 

11.0 

12.1 

13.0 

13.9 

17.0 

19.7 

22.0 

24.1 

27.8 



5.4 

11.3 

123 

1&.3 

14,2 

17.4 

20.1 

22.5 

24.6 

28.5 

.... 

5.6 

11.5 

126 

13.6 

14.5 

17.8 

20.6 

23.0 

25.2 

29.1 

.... 

5.8 

11.8 

12.9 

13.9 

14.9 

182 

21.0 

23.5 

25.7 

29.7 

.... 

6.0 

12.0 

13.1 

14.2 

15.2 

18.6 

21.4 

24.0 

26.2 

30.3 

... 

6.2 

12.2 

13.4 

14.5 

15.4 

18.9 

21.8 

24.4 

26.8 





6.4 

12.5 

13.7 

14.7 

15.8 

19.3 

22.3 

24.9 

27.3 





6.6 

12.7 

139 

15.0 

16.0 

19.6 

22.7 

25.4 

27.8 





6.8 

12.9 

142 

15.3 

163 

20.0 

23.1 

258 

28.3 





7.0 

13.2 

14.4 

15.5 

16.6 

20.3 

23.5 

26.3 

28.8 

..... 

...... 

7.5 

12.7 

15.0 

16.2 

17.3 

21.2 

24.4 

27.4 

30.0 





8.0 

14.2 

15.6 

16.8 

18.0 

22.0 

25.4 

28.4 





8.5 

14.8 

16.1 

17.4 

18.6 

22.8 

26.3 

29.4 



...... 



0.0 

15.3 

16.7 

18.0 

19  a 

236 

27.2 

30.4 





...... 

ftjv 

16.& 

17  2 

18.6 

19  9 

24  3 

28  1 

*P»4jr 

10 

16.2 

17'8 

19:2 

20.5. 

251 

28.9 

HYDRAULIC    AND    EXCAVATION    TABLES. 


it  hie   O. —  Velocity  of  water  in  feet  per  second,  based  on  Kutter's 
formula,  coejjicient  of  roughness 

n  =.O15. 


g|& 

*(OJ 

it 

ccS 

11     tl 

»O 

n* 

ii 

*«<^ 

ll 

TM     • 

*l 

!! 

if 

**  . 

1 

N 

11     It 

fe% 

fe<» 

im 

*/. 

h?Q 

fa  02 

ha 

II  II 

fajfi 

9.2 

.16 

.26 

.33 

.39 

.44 

.49 

.54 

.58 

.61 

.65 

0.4 

.29 

.45 

.57 

.68 

.77 

.85 

.93 

1.00 

1.06 

1.12 

0.6 

.41 

.63 

.79 

.93 

1.05 

1.16 

1.26 

1.35 

1.44 

1.52 

0.8 

.52 

.79 

.99 

1.15 

1.30 

1.43 

1.56 

1.67 

1.78 

1.88 

t.O 

.63 

.93 

1.16 

1.36 

1.53 

1.68 

1.83 

1.96 

2.09 

2.20 

1.3 

.72 

1.07 

1.33 

1.55 

1.74 

1.92 

2.08 

2.23 

2.37 

2.50 

1.4 

.82 

1.20 

1.49 

1.73 

1.94 

2.14 

2.32 

2.48 

2.63 

2.78 

1.6 

.91 

1.32 

1.64 

l.fiO 

2.13 

2.35 

2.54 

2.72 

2.89 

3.05 

1.8 

.99 

1.44 

1.78 

2.06 

2.32 

2.54 

2.75 

2.94 

3.13 

3.30 

2.0 

1.07 

1.55 

1.91 

2.22 

2.49 

2.73 

2.95 

3.16 

3.36 

3.54 

2.3 

1.15 

1.66 

2.04 

2.37 

2.65 

2.91 

3.15 

3.37 

3.58 

3.77 

2.4 

1.23 

1.76 

2.17 

2.51 

2.81 

3.09 

3.34 

3.57 

3.79 

3.99 

2.6 

1.31 

1.86 

2.29 

2.65 

2.97 

3.25 

3.52 

3.76 

3.99 

4.21 

2.8 

1.38 

1.96 

2.41 

2.79 

3.12 

3.42 

3.69 

3.95 

4.19 

4.42 

3.0 

1.45 

2.06 

2.52 

2.92 

3.26 

3.58 

3.86 

4.13 

4.38 

4.62 

3.3 

1.52 

2.15 

2.63 

3.04 

3.40 

3.73 

4.03 

4.30 

4.57 

4.8T 

3.4 

1.59 

2.24 

2.74 

3.17 

3.54 

3.88 

4.19 

4.47 

4.75 

5.00 

3.6 

1.65 

2.33 

2.85 

3.29 

3.67 

4.02 

4.34 

4.64 

4.92 

5.19 

3.8 

1.72 

2.42 

2.95 

3.41 

3.80 

4.16 

4.50 

4.81 

5.10 

5.37 

4.0 

1.78 

2.50 

3.05 

3.52 

3.93 

4.31 

4.65 

4.96 

5.26 

6.55 

4.3 

1.85 

2.58 

3.15 

3.63 

4.06 

4.44 

4.79 

5.12 

5.43 

5.72 

4.4 

1.91 

2.67 

3.25 

3.74 

4.18 

4.57 

4.93 

5.27 

6.59 

5.89 

4.6 

1.97 

2.75 

3.35 

3.85 

4.30 

4.70 

5.07 

5.42 

5.75 

6.06 

4.8 

2.03 

2.82 

3.44 

3.96 

4.42 

4.83 

5.21 

5.57 

5.90 

6.22 

5.0 

2.09 

2.90 

3.53 

4.06 

4.53 

4.96 

5.35 

5.71 

6.05 

6.38 

5.3 

2.14 

2.98 

3.62 

4.16 

4.64 

5.08 

5.48 

5.85 

6.20 

6.53 

5.4 

2.20 

3.05 

3.71 

4.27 

4.76 

5.20 

5.61 

5.99 

6.35 

6.69 

5.6 

2.26 

3.13 

3.80 

4.36 

4.87 

5.32 

5.74 

6.13 

6.49 

6.84 

5.8 

2.31 

3.20 

3.88 

4.46 

4.97 

5.44 

5.86 

6.26 

6.64 

6.9U 

6.0 

2.37 

3.27 

3.97 

4.56 

5.08 

5.56 

5.99 

6.40 

6.77 

7.14 

6.3 

2.42 

3.34 

4.05 

4.65 

5.18 

5.67 

6.11 

6.52 

6.91 

7.28 

6.4 

2.47 

3.41 

4.13 

4.75 

5.29 

5.78 

6.23 

6.65 

7.05 

7.42 

6.6 

2.53 

3.48 

4.21 

4.84 

5.39 

5.89 

6.35 

6.78 

7.18 

7.56 

6.8 

2.58 

3.55 

4.29 

4.03 

5.49 

6.00 

6.47 

6.90 

7.31 

7.70 

7.0 

2.64 

3.61 

4.37 

5.02 

5.59 

6.10 

6.58 

7.02 

7.44 

7.84 

7.5 

2.76 

3.77 

4.57 

5.24 

5.83 

6.36 

6.86 

7.32 

7.76 

8.17 

H.O 

2.8S 

3.93 

4.75 

5.45 

6.06 

6.62 

7.14 

7.62 

8.07 

8.50 

8.5 

3.00 

4.09 

4.93 

5.65 

6.29 

6.87 

7.40 

7.90 

8.37 

8.82 

9.0 

3.11 

4.24 

5.11 

5.85 

6.51 

7.10 

7.66 

8.17 

8.66 

9.13 

t.5 

3.23 

4.39 

5.28 

6.05 

6.73 

7.34 

7.91 

8.44 

8.94 

9.42 

10 

3.34 

4.53 

5.45 

6.24 

6.94 

7.57 

8.16 

8.71 

9.22 

9.70 

11 

3.55 

4.81 

5.78 

6.61 

7.35 

8.02 

8.63 

9.22 

9.75 

10.3 

13 

3.76 

5.07 

6.09 

6.96 

7.74 

8.44 

9.09 

9.70 

10.3 

10.8 

13 

3.96 

6.32 

6.39 

7.30 

8.11 

8.84 

9.52 

10.2 

10.8 

11.3 

14 

4.15 

5.57 

6.68 

7.63 

8.47 

9.24 

9.95 

10.6 

11.2 

11.8 

15 

4.34 

5.81 

6.96 

7.95 

8.82 

9.62 

10.4 

11.0 

11.7 

12.3 

HYDRAULIC    AND  EXCAVATION   TABLES. 


31 


Table   6. — Velocity  of  water  in  feet  per  second,  based  on  KuUer's 
formula,  coefficient  of  roughness  » 

ii  =  .0 15  —  Continued. 


1* 

"I 

ii 

e*^ 

y    ^ 
«* 

il 

w® 

•s 

§§ 
««? 

Ii 

<*  00 

^S 

|i 

«s 

£»o 

sl 

«D« 

W)v4 
f>  O 

I 

H  ii 

•*.-/. 

&•* 

face 

fax 

fax 

'*•/. 

*•/. 

fax 

faX 

faX 

9.2 

.68 

.72 

.75 

.78 

.81 

.84 

.86 

.89 

.91 

.94 

0.4 

1.18 

1.23 

1.29 

1.34 

1.39 

1.43 

1.48 

1.52 

1.57 

1.61 

0.6 

1.60 

1'.67 

1.74 

1.81 

1.88 

1.94 

2.00 

2.06 

2.12 

2.18 

0.8 

1.97 

2.06 

2.15 

2.23 

2.31 

2.:w 

2.46 

2.54 

2.61 

2.68 

1.0 

2.31 

2.41 

2.52 

2.62 

2.71 

2.80 

2.89 

2.97 

3.05 

3.13 

1.2 

2.62 

2.74 

2.86 

2.97 

3.07 

3.18 

3.28 

3.37 

3.47 

3.55 

1.4 

2.92 

3.05 

3.18 

3.30 

3.42 

3.53 

3.64 

3.75 

3.86 

3.95 

1.6 

3.20 

3.34 

3.48 

3.61 

3.74 

3.85 

3.98 

4.10 

4.22 

4.33 

1.8 

3.46 

3.62 

3.77 

3.91 

4.05 

4.18 

4.31 

4.44 

4.56 

4.68 

9.0 

3.71 

3.88 

4.04 

4.20 

4.34 

4.49 

4.63 

4.76 

4.89 

5.02 

2.2 

3.96 

4.13 

4.30 

4.47 

4.63 

4.78 

4.93 

6.07 

5.21 

5.35 

2.4 

4.19 

4.38 

4.56 

4.73 

4.90 

5.06 

5.21 

5.37 

5.51 

5.66 

2.6 

4.41 

4.61 

4.80 

4.99 

5.16 

5.33 

5.49 

5.65 

5.81 

5.96 

2.8 

4.63 

4.84 

5.04 

5.23 

5.41 

5.59 

5.76 

5.93 

6.09 

6.25 

3.0 

4.84 

5.06 

5.27 

5.47 

5.66 

6.84 

6.02 

6.20 

6.37 

6.53 

3.2 

5.05 

5.27 

5.49 

5.70 

5.90 

6.09 

6.28 

6.46 

6.64 

6.81 

3.4 

5.25 

5.48 

5.70 

5.92 

6.13 

6.33 

6.52 

6.71 

6.90 

7.07 

3.6 

5.44 

5.68 

5.92 

6.14 

6.35 

6.56 

6.76 

6.96 

7.15 

7.33 

3.8 

5.63 

5.88 

6.12 

6.35 

6.57 

6.79 

7.00 

7.20 

7.40 

7.59 

4.0 

5.82 

6.07 

6.32 

6.55 

6.79 

7.02 

7.23 

7.43 

7.64 

7.84 

4.2 

6.00 

6.26 

6.52 

6.76 

7.00 

7.23 

7.45 

7.66 

7.87 

8.08 

4.4 

6.18 

6.45 

6.71 

6.96 

7.20 

7.44 

7.67 

7.89 

8.10 

8.31 

4.6 

6.35 

6.63 

6.90 

7.16 

7.41 

7.65 

7.88 

8.11 

8.33 

8.55 

4.8 

6.52 

6.81 

7.08 

7.35 

7.60 

7.85 

8.09 

8.33 

8.55 

8.77 

£.0 

6.69 

6.98 

7.26 

7.54 

7.80 

8.05 

8.30 

8.54 

8.77 

9.00 

5.2 

6.85 

7.15 

7.44 

7.72 

7.99 

8.25 

8.50 

8.75 

8.98 

9.22 

5.4 

7.01 

7.32 

7.62 

7.90 

8.18 

8.44 

8.70 

8.95 

9.19 

9.43 

5.6 

7.17 

7.49 

7.79 

8.08 

8.36 

8.63 

8.90 

9.15 

9.40 

961 

5.8 

7.33 

7.65 

7.96 

8.25 

8.54 

8.82 

9.09 

9.35 

9.60 

9.85 

6.0 

7.48 

7.81 

8.12 

8.43 

8.72 

9.00 

9.28 

9.54 

9.80 

10.1 

6.2 

7.63 

7.97 

8.29 

8.60 

8.90 

9.18 

9.47 

9.74 

10.0 

10.3 

6.4 

7.78 

8.12 

8.45 

8.76 

9.07 

9.36 

9.65 

9.93 

10.2 

10.5 

6.6 

7.93 

8.27 

8.61 

8.93 

9.24 

9.54 

9.83 

10.1 

10.4 

10.7 

6.8 

8.07 

8.43 

8.77 

9.09 

9.41 

9.72 

10.0 

10.3 

10.6 

10.9 

7.0 

8.21 

8.57 

8.92 

9.24 

£57 

9.90 

10.2 

10.5 

10.8 

11.1 

7.5 

8.56 

8.94 

9.30 

9.63 

9.98 

10.3 

10.6 

10.9 

11.2 

11.5 

8.0 

8.90 

9.29 

9.66 

10.0 

10.4 

10.7 

11.0 

11.4 

11.7 

12.0 

8.5 

9.23 

9.64 

10.0 

10.4 

10.8 

11.1 

11.4 

11.8 

12.1 

12.4 

».o 

9.55 

9.97 

10.4 

10.8 

11.1 

11.5 

11.8 

12.2 

12.5 

12.8 

9.5 

9.86 

10.3 

10.7 

11.1 

11.5 

11.9 

12.2 

12.6 

12.9 

13.2 

10 

10.2 

10.6 

11.0 

11.4 

11.8 

12.2 

12.6 

13.0 

13.3 

13.6 

11 

10.8 

11.2 

11.7 

12  1 

12  5 

12 

11.3 

11.8 

12.3 

12.7 

13.2 

13 

11.9 

12.4 

12.9 

13.3 

138 

14 

12.4 

12.9 

13.4 

13.9 

14.4 

15 

12.9 

13.4 

14.0 

14.5 

15.0 



HYDRAULIC    AND  EXCAVATION    TABLES. 


6. — Velocity  of  water  in  feet  per  second,  based  on  Kutter's 
•  formula,  coefficient  of  roughness 

il  =.O15  —  Continued. 


« 

si 

»«? 

Il    |[ 

si 

II      it 

?! 

1!      11 

VH  * 

w 

21 

Sg 

§« 

8« 
8* 

Sao 

S§ 

So 

s» 

* 

h« 

u 

few 

Ml 

feOQ 

face 

face 

fa» 

'-r. 

0.2 

1.05 

1,16 

1.25 

1.34 

1.65 

1.91 

2.13 

2.34 

2.70 

3.02 

0.4 

1.80 

1.98 

2.14 

2.29 

2.82 

3.26 

3.64 

3.99 

4.61 

5.10 

0.6 

2.44 

2.(><S 

2.89 

3.10 

3.80 

4.39 

4.91 

5.38 

6.22 

6.9G 

0.8 

3.00 

3.29 

3.5G 

3.81 

4.67 

5.40 

6.04 

6.61 

7.64 

8.54 

1.0 

3.51 

3.85 

4.16 

4.45 

5.46 

6.31 

7.06 

7.73 

8.93 

9.99 

1.2 

3.98 

4.37 

4.72 

5.05 

6.19 

7.15 

8.00 

8.77 

10.1 

11.3 

1.4 

4.43 

4.85 

5.24 

5.61 

6.87 

7.94 

8.88 

9.73 

11.2 

12.6 

1.0 

4.85 

5.31 

5.74 

6.13 

7.52 

8.69 

9.71 

10.6 

12.3 

13.7 

1.8 

5.24 

5.74 

6.20 

6.63 

8.13 

9.39 

10.5 

11.5 

13.3 

14.9 

2.0 

5.62 

6,16 

6.65 

7.11 

8.72 

10.1 

11.3 

12.3 

14.2 

15.9 

2.2 

5.98 

6.55 

7.08 

7.57 

9.27 

10.7 

12.0 

13.1 

15.2 

16.9 

2.4 

6.33 

6.93 

7.49 

8.01 

9.81 

11.3 

12.7 

13.9 

16.0 

17.9 

2.6 

6.66 

7.30 

7.89 

8.43 

10.3 

11.9 

13.3 

14.6 

16.9 

18.9 

2.8 

6.99 

7.66 

8.27 

8.84 

10.8 

12.5 

14.0 

15.3 

17.7 

19.S 

3.0 

7.30 

8.00 

8.64 

9.24 

11.3 

13.1 

14.6 

16.0 

18.5 

20.7 

,r. 

7.61 

8.34 

9.01 

9.63 

11.8 

13.6 

15.2 

16.7 

19.3 

21.5 

3.4 

7.91 

8.66 

9.36 

10.0 

12.3 

14.2 

15.8 

17.3 

20.0 

22.4 

3.6 

8.20 

8.98 

9.70 

10.4 

12.7 

14.7 

16.4 

18.0 

20.7 

23.2 

3:8 

8.48 

9.29 

10.0 

10.7 

13.1 

15.2 

17.0 

18.6 

21.4 

24.<> 

4.0 

8.76 

&60 

10.4 

11.1 

13.6 

15.7 

17.5 

19.2 

22.1 

24.8 

4T.2 

9-.03 

9.89 

10.7 

11.4 

14.0 

16.1 

18.0 

19.8 

22.8 

25.5 

4.4 

9.29 

10.2 

11.0 

11.8 

14.4 

16.6 

18.6 

20.3 

23.5 

26.2 

4:6 

9.55 

10.5 

11.3 

12.1 

14.8 

17.1 

19.1 

20.9 

24.1 

27.0 

4.8 

9.81 

10.7 

11.6 

12.4 

15.2 

17.5 

19.6 

21.5 

24.8 

27.7 

5.0 

10.1 

11.0 

11.9 

12.7 

15.6 

18.0 

20.1 

22.0 

25.4 

28.4 

5.'i 

10.3 

11.3 

12.2 

13.0 

15.9 

18.4 

20.6 

22.5 

26.0 

29.1 

5.4 

10.5 

11.5 

12.5 

13^3 

16.3 

18.8 

21.0 

23.1 

26.6 

29.S 

5.6 

10.8 

11.8 

12.7 

13.6 

16.7 

19.2 

21.5 

23.6 

27.2 

30.4 

5.8 

11.0 

12.1 

13.0 

13.9 

17.0 

19.7 

22.0 

24.1 

27.8 

31.1 

«.o 

11.2 

12.3 

13%3 

14.2 

17.4 

20.1 

22.4 

24.6 

28.4 

31.7 

6.2 

11.5 

12.6 

13.6 

14.5 

17.7 

20.5 

22.9 

25.1 

28.9 

32.3 

6.4 

11.7 

12.8 

13,8 

14.8 

18.1 

20.9 

23.3 

25.5 

29.5 

33.0 

6.6 

11.9 

13.0 

14.1 

15.0 

18.4 

21.2 

23.7 

26.0 

30.0 

33.0 

6.8 

12.1 

13.3 

14.3 

15.3 

18.7 

21.6 

24.2 

26.5 

30.6 

34.2 

7.0 

12.3 

13,* 

14.6 

15.6 

19,1 

22.0 

24.6 

26.9 

31.1 

34,8 

VJt 

12.9 

14.1 

15.2 

16.3 

19.9 

& 

13-.4 

14.6 

15.8 

16.9 

20.6 

».5 

13.8 

15.2 

16.4     ! 

17.5 



....... 

».o 

14.3 

15.7 

13.9 

18.1 

9.5 

14.8 

1*6.2' 

17.5 

rs.7' 

10.0 

15.2. 

16.7 

18.0 

19.2 

HYDRAULIC   AND   EXCAVATION    TABLES. 


33 


'fable    7. — Velocity  of  water  in  feet  per  second,  based  on  Kutter's 
formula,  coefficient  of  roughness 

11  =.O2O. 


si 

Ij 

l| 

II 

si 

*T  *J 

If 

it 

if 

^® 

Ii 

f4     . 

*•* 

»H  O 
***  O 

«<* 

§| 
**   . 

o* 

H 

M 

MB 

*'/ 

faX 

fax 

fax 

face 

II     II 

-   /. 

II    II 

fax 

II   II 
fax 

II    !l 

fax 

0.3 

.11 

.17 

.22 

.27 

.30 

.33 

.36 

.39 

.42 

.44 

0.4 

.21 

.32 

.40 

.47 

.54 

.59 

.65 

.69 

.74 

.78 

0.6 

.29 

.44 

.56 

.66 

.74 

.82 

.89 

.96 

1.02 

1.08 

0.8 

.37 

.56 

.70 

.82 

.93 

1.03 

1.11 

1.19 

1.27 

1.35 

1.0 

.45 

.67 

.84 

.98 

1.10 

1.21 

1.32 

1.41 

1.50 

1.59 

1.2 

.52 

.77 

.96 

1.12 

1.26 

1.39 

1.51 

1.62 

1.72 

1.81 

1.4 

.59 

.87 

1.08 

1.26 

1.41 

1.56 

1.69 

1.81 

1.92 

2.03 

1.6 

.66 

.9<> 

1.20 

1.39 

1.56 

1.72 

1.86 

1.99 

2.11 

2.23 

1.8 

.73 

1.05 

1.30 

1.52 

1.70 

1.87 

2.02 

2.17 

2.30 

2.43 

2.0 

.79 

1.14 

1.41 

1.64 

1.84 

2.01 

2.18 

2.33 

2.48 

2.61 

2.2 

.85 

1.23 

1.51 

1.75 

1.96 

2.16 

2.33 

2.49 

2.65 

2.79 

2.4 

.91 

1.31 

1.61 

1.86 

2.09 

2.29 

2.48 

2.65 

2.81 

2.97 

2.6 

.1*7 

J  .39 

1.70 

1.97 

2.21 

2.42 

2.62 

2.80 

2.97 

3.13 

2.8 

1.03 

1  .40 

1.80 

2.08 

2.33 

2.55 

2.76 

2.95 

3.12 

3.30 

3.0 

1.09 

1.54 

1.89 

2.18 

2.44 

2.68 

2.89 

3.09 

3.28 

3.45 

3.2 

1.14 

1JB1 

1.97 

2!28 

2.55 

2.79 

3.02 

3.23 

3.42 

3.61 

3.4 

1.1!) 

l.C.S 

2.0<> 

2.38 

2.66 

2.91 

3.14 

3.36 

3.56 

3.70 

3.6 

1.25 

1.75 

2.14 

2.47 

2.76 

3.03 

3.27 

3.49 

3.70 

3.90 

3.8 

1.30 

1  .S2 

2.23 

2.57 

2.87 

3.14 

3.39 

3.62 

3.84 

4.05 

4.0 

1.35 

1.S9 

2.31 

2.66 

2.97 

3.25 

3.51 

3.75 

3.97 

4.19 

4.2 

1.40 

1  .90 

2.38 

2.75 

3.07 

3.36 

3.62 

3.87 

4.10 

4.32 

4.4 

1.45 

2.02 

2.46 

2.83 

3.16 

3.46 

3.73 

3.99 

4.23 

4.46 

4.6 

1.50 

2.08 

2.54 

2.92 

3.26 

3.56 

3.85 

4.11 

4.35 

4.59 

4.8 

1.54 

2.15 

2.61 

3.00 

3.35 

3.66 

3.95 

4.22 

4.48 

4.72 

5.0 

1.59 

2.21 

2.68 

3.09 

3.44 

3.76 

4.06 

4.34 

4.60 

4.84 

5,2 

1.63 

2.27 

2.76 

3.17 

3.53 

3.86 

4.17 

4.45 

4.72 

4.97 

5.4 

1.6X 

2.33 

2.83 

3.25 

3.62 

3.96 

4.27 

4.56 

4.83 

5.09 

.     5.6 

1.73 

2.39 

2.90 

3.33 

3.71 

4.05 

4.37 

4.67 

4.95 

5.21 

5.8 

1.77 

2.45 

2.97 

3.41 

3.80 

4.15 

4.47 

4.78 

5.06 

5.33 

6.0 

1.82 

2.51 

3.03 

3.48 

3.88 

4.24 

4.57 

4.88 

5.17 

5.45 

6.2 

1.86 

2.56 

3.10 

3.56 

3.96 

4.33 

4.67 

4.98 

5.28 

5.56 

6.4 

1.90 

2.61 

3.17 

3.63 

4.05 

4.42 

4.77 

5.09 

5.39 

5.68 

6.6 

1.94 

2.67 

3.23 

3.71 

4.13 

4.51 

4.86 

5.19 

5.50 

5.79 

6.8 

1.99 

2.73 

3.30 

3.78 

4.21 

4.60 

4.95 

5.29 

5.60 

5.90 

7.0 

2.03 

2.79 

3.36 

3.86 

4.29 

4.68 

5.05 

5.40 

5.70 

6.01 

7.5 

2.13 

2.92 

3.51 

4.03 

4.48 

4.89 

5.27 

5.63 

5.96 

6.27 

8.0 

2.23 

3.04 

3.66 

4.20 

4.67 

5.10 

5.49 

5.86 

6.21 

6.53 

8.5 

2.33 

3.16 

3.81 

4.36 

4.85 

5.30 

5.70 

6.09 

6.44 

6.78. 

9.0 

2.42 

3.28 

3.95 

4.52 

5.03 

5.49 

5.91 

6.31 

6.68 

7.03 

9.5 

2.51 

3.40 

4.09 

4.68 

5.20 

5.68 

6.11 

6.52 

6.91 

7.27 

10 

2.60 

3.52 

4.23 

4.83 

5.37 

5.86 

6.31 

6.73 

7.13 

7.50 

11 

2.78 

3.74 

4.49 

5.14 

5.70 

6.21 

6.69 

7.14 

7.56 

7.9f> 

12 

2.95 

3.96 

4.75 

5.43 

6.02 

6.56 

7.06 

7.53 

7.97 

8.39 

13 

3.11 

4.17 

4.99 

5.71 

6.32 

6.90 

7.41 

7.91 

8.36 

8.80 

14 

3.27 

4.37 

5.23 

5.97 

6.62 

7.22 

7.76 

8.27 

8.75 

9.20 

15 

3.43 

4.56 

5.46 

6.22 

G.90 

7.52 

8.09 

,«.62 

9.12 

M.fiO 

6202°-I7 3 


34 


KVDKAULIC   AND   EXCAVATION    TABLES. 


Table  7. —  Velocity  of  water  in  feet  per  second,  based  on  flutter's 

formula,   coefficient  of  roughness 

11  =  .Ot2O  — Continued. 


i|! 

|| 

l\ 

Hi 

ii 

ii 

!i 

!l 

§1 

teal 
So 

ii 

.,  ^ 

II  1* 

|      || 

H  if 

ii  II 

H  if 

H  if 

II   tl 

H  if 

II   if 

H  if 

A 

SM  i/i 

fcaa 

BhGC 

feat 

0.2 

.47 

.49 

.51 

.53 

.55 

.57 

.59 

.61 

.62 

.64 

0.4 

.82 

.86 

.90 

.93 

.97 

1.00 

1.03 

1.06 

1.09 

1.12 

0.6 

1.13 

1.18 

1.23 

1.28 

1.33 

1.37 

1.41 

1.46 

1.50 

1.54 

0.8 

1.41 

1.47 

1.53 

1,60 

1.65 

1.71 

1.76 

1.82 

1.87 

1.92 

1.0 

1.66 

1.74 

1.81 

1.88 

1.95 

2.02 

2.08 

2.14 

2.20 

2.26 

1.2 

1.90 

1.99 

2.07 

2.15 

2.23 

2.31 

2.38 

2.45 

2.52 

2.58 

1.4 

2.13 

2.23 

2.32 

2.41 

2.49 

2.58 

2.66 

2.74 

2.81 

2.8S 

1.6 

2.34 

2.45 

2.55 

2.65 

2.74 

2.83 

2.92 

3.01 

3.09 

3.17 

1.8 

2.55 

2.66 

2.77 

2.88 

2.98 

3.08 

3.17 

3.27 

3.36 

3.4.  r> 

2.0 

2.74 

2.86 

2.98 

3.10 

3.21 

3.31 

3.42 

3.52 

3.61 

3.71 

2.2 

2.93 

3.06 

3.19 

3.31 

3.43 

3.54 

3.65 

3.76 

3.86 

3.9r, 

2.4 

3.11 

3.25 

3.38 

3.51 

3.64 

3.76 

3.87 

3.99 

4.10 

4.20 

2.6 

3.29 

3.43 

3.57 

3.71 

3.84 

3.97 

4.09 

4.21 

4.33 

4.44 

2.8 

3.46 

3.61 

3.76 

3.90 

4.04 

4.17 

4.30 

4.43 

4.55 

4.67 

3.0 

3.62 

3.78 

3.94 

4.09 

4.23 

4.37 

4.50 

4.64 

4.76 

4.89 

3.2 

3.78 

3.95 

4.11 

4.27 

4.42 

4.56 

4.70 

4.84 

4.97 

5.10 

3.4 

3.94 

4.11 

4.28 

4.44 

4.60 

4.75 

4.90 

5.04 

5.18 

5.31 

3.6 

4.09 

4.27 

4.43 

4.62 

4.78 

4.93 

5.09 

5.23 

5.38 

5.52 

3.8 

4.24 

4.43 

4.61 

4.78 

4.95 

5.11 

5.27 

5.42 

5.57 

5.72 

4.0 

4.39 

4,58 

4.77 

4.95 

5.12 

6.29 

5.45 

5.61 

5.76 

5.91 

4.2 

4.53 

4.73 

4.92 

5.11 

5.29 

5.46 

5.6S 

5.79 

5.95 

6,10 

4.4 

4.67 

4.88 

5.08 

5.27 

5.45 

5.63 

5.80 

5.97 

6.13 

6.25* 

4.6 

4.81 

5.02 

5.23 

5.42 

5.61 

5.79 

5.97 

6.14 

6.31 

6.47 

4.8 

4.94 

5.16 

5.37 

5.57 

5.77 

5.96 

6.14 

6.31 

6.49 

6.65 

5.0 

5.08 

5.30 

5.52 

5.72 

5.92 

6.12 

6.30 

6.48 

6.66 

6.83 

5.2 

5.21 

5.44 

5.66 

5.87 

6.07 

6.27 

6.46 

6.65 

6.83 

7.00 

5.4 

5.34 

5.57 

5.80 

6.01 

6.22 

6.42 

6.62 

6.81 

6.99 

7.18 

5.6 

5.46 

5.70 

5.93 

6.15 

6.37 

6.57 

6.77 

6.97 

7.16 

7.34 

5.8 

5.59 

5.83 

6.07 

6.29 

6.51 

6.72 

6.93 

7.13 

7.32 

7.51 

6.0 

5.71 

5.95 

6.20 

6.43 

6.65 

6.87 

7.08 

7.28 

7.48 

7.67 

6.2 

5,83 

6.08 

6.33 

6.57 

6.79 

7.01 

7.23 

7.43 

7.64 

7.83 

6.4 

5.95 

6.21 

6.46 

6.70 

6.93 

7.16 

7.37 

7.58 

7.70 

7.9<> 

6.6 

6.07 

6.33 

6.58 

6.83 

7.07 

7.30 

7.52 

7.73 

7.94 

8.1.") 

6.8 

6.18 

6.45 

6.71 

6.96 

7.20 

7.43 

7.66 

7.88 

8.09 

8.30 

7.0 

6,29 

6.57 

6,83 

7.10 

7.33 

7.57 

7.80 

8.02 

8.24 

8.4A 

7.5 

6,57 

6.86 

7,14 

7.41 

7.66 

7.91 

8.14 

8.38 

8.61 

8.83 

9.0 

6.84 

7.14 

7.43 

7.71 

7.97 

8.23 

8.48 

8.72 

8.96 

9.  in 

8.5 

7.11 

7,42 

7.71 

8,00 

8.28 

8.54 

8.80 

9.05 

9.30 

0.54 

9.0 

7.36 

7.68 

7,99 

8.29 

8.57 

8,85 

9.12 

9.38 

9.63 

9.87 

fl.5 

7.61 

7.94 

8.26 

8.57 

8.86 

9.15 

9.43 

9.69 

9.96 

10.2 

10 

7.86 

8.20 

8.53 

8.84 

9.15 

9.44 

9.75 

10.0 

10.3 

10.5 

8  33 

8.69 

9.04 

9.37 

9.69 

12 

g'yg 

9^53 

9,88 

10,2 

9  22 

9  59 

10.0 

10,4 

10.7 

14 

9^64 

10.0 

10  5 

10.8 

11,2 

15 

10^9 

11.3 

11.7 

HYDRAULIC    AND   EXCAVATION    TABLES. 


35 


7.—  Velocity  of  water  in  feet  per  second,  based  on  Kulter's 
formula,  coefficient  of  roughness 

n  =,O2O  — Continued. 


Si- 
ll 

!§ 

si 

A 

Ii 

ii 

II 

J, 

- 

«M 

Ii 

II    1!           II    II 

fax      fax 

AA 

faX 

AA 

AA 

II   II* 

fax 

7  if 

fax 

H  if 
fax 

ii  i" 

fax 

0.2 

.72 

.79 

.85 

.91 

1.12 

1.30 

1.46 

1.60 

1.84 

2.06 

0.4 

1.26 

1.38 

1.50 

1.00 

1.97 

2.27 

2.54 

2.79 

3.22 

3.00 

0.6 

1.73 

1.89 

2.05 

2.19 

2.69 

3.11 

3.48 

3.81 

4.41 

4.93 

0.8 

2.15 

2.35 

2.55 

2.72 

3.34 

3.86 

4.32 

4.74 

5.47 

6.12 

1.0 

2.53 

2.77 

3.00 

3.21 

3.94 

4.55 

5.09 

5.58 

6.45 

7.21 

1.3 

2.89 

3.17 

3.43 

3.67 

4.50 

5.19 

5.81 

6.37 

7.35 

8.22 

1.4 

3.23 

3.54 

3.83 

4.09 

5.02 

5.80 

6.48 

7.10 

8.20 

9.18 

1.6 

3.55 

3.89 

4.21 

4.50 

5.51 

6.37 

7.12 

7.80 

9.01 

10.1 

1.8 

3.86 

4.23 

4.57 

4.88 

5.99 

6.91 

7.73 

8.47 

9.78 

10.9 

2.0 

4.15 

4.55 

4.91 

5.26 

6.44 

7.44 

8.31 

9.11 

10.5 

11.8 

2.3 

4.43 

4.85 

5.24 

5.61 

6.87 

7.94 

8.87 

9.72 

11.2 

12.6 

2.4 

4.70 

5.15 

5.57 

5.95 

7.29 

8.42 

9.41 

10.3 

11.9 

13.3 

2.6 

4.96 

5.44 

5.87 

6.28 

7.70 

8.89 

9.94 

10.9 

12.6 

14.0 

2.8 

5.22 

5.72 

6.17 

6.60 

8.09 

9.35 

10.4 

11..4 

13.2 

14.8 

3.0 

5.46 

5.99 

6.47 

6.91 

8.47 

9.78 

10.9 

12.0 

13.8 

15.5 

3.2 

5.70 

6.25 

6.75 

7.22 

8.84 

10.2 

11.4 

12.5 

14.4 

16.1 

3.4 

5.94 

6.50 

7.03 

7.51 

9.20 

10.6 

11.9 

13.0 

15.0 

16.8 

3.6 

6.17 

6.75 

7.29 

7.80 

9.55 

11.0 

12.3 

13.5 

15.6 

17.4 

3.8 

6.39 

7.00 

7.56 

8.08 

9.89 

11.4 

12.8 

14.0 

16.2 

18.1 

4.0 

6.61 

7.24 

7.82 

8.36 

10.2 

11.8 

13.2 

14.5 

16.7 

18.7 

4.2 

6.82 

7.47 

8.07 

8.62 

10.6 

12.2 

13.6 

14.9 

17.2 

1^.3 

4.4 

7.03 

7.70 

8.31 

8.89 

10.9 

12.6 

14.1 

15.4 

17.8 

19.8 

4.6 

7.23 

7.92 

8.56 

9.14 

11.2 

12.9 

14.5 

15.8 

18.3 

4.8 

7.44 

8.14 

8.79 

9.40 

11.5 

13.3 

14.9 

16.3 

18.8 

21  0 

5.0 

7.63 

8.36 

9.02 

9.65 

11.8 

13.6 

15.2 

16.7 

19.3 

2L5 

5.2 

7.83 

8.57 

9.25 

9.89 

12.1 

14.0 

15.6 

17.1 

19.8 

22.1 

5.4 

8.02       8.78 

9.48 

10.1 

12.4 

14.3 

16.0 

17.5 

20.2 

22.0 

5.6 

8.21       8.98 

9.70 

10.4 

12.7 

14.7 

16.4 

17.9 

20.7 

23.2 

5.8 

8.30        9.19 

9.92 

10.6 

13.6 

15.0 

16.7 

18.3 

21.2 

23.7 

6.0 

8.57 

9.38 

10.1 

10.8 

13.3 

15.3 

17.1 

18.7 

21.6 

24.2 

6.3 

8.75 

9.58 

10.3 

11.1 

13.5 

15.6 

17.5 

19.1 

22.1 

24.7 

6.4 

8.93 

9.77 

10.6 

11,3 

13.8 

15.9 

17.8 

19.5 

22.5 

25.2 

6.6 

9.10 

9.96 

10.8 

11.5 

14.1 

16.2 

18.2 

19.9 

23.0 

25.7 

6.8 

9.27 

10.2 

11.0 

11.7 

14.3 

16.5 

18.5 

20.3 

23.4 

26.1 

7.0 

9.44 

10.4 

11.2 

11.9 

14.6 

16.8 

18.8 

20.6 

23.8 

26.6 

7.5 

9.86 

10.8 

11.7 

12.5 

15.2 

17.6 

19.7 

21.5 

24.8 

27.8 

8.0 

10.3 

11.2 

12.1 

13.0 

15.9 

18.3 

20.5 

22.4 

25.9 

28.9 

8.5 

10.7 

11.7 

12.6 

13.5 

16.5 

19.0 

21.2 

23.2 

20.8 

30.0 

9.0 

11.0 

12.1 

13.0 

14.0 

17.0 

19.7 

22.0 

24.1 

27.8 

31.1 

9.5 

11.4 

12.5 

13.5 

14.4 

17.6 

20.3 

22.7 

24.9 

28.7 

32.1 

10.0 

11.8 

12.9 

13.9 

14.9 

1S.2 

21.0 

23.4 

25.7 

29.6 

33.1 

36 


HYDRAULIC    AND   EXCAVATION    TABLES. 


Table   8. — Velocity  of  water  in  feet  per  second,  based  on  Kutter's 
formula,   coefficient  of  roughness 

ii  =.0225. 


1 

1 

il 

<l 

Mj 

si 

r»  «9 

^i  ® 

§1 

w| 

1H^ 

*H  ® 

§i 

si 

5^ 

;i 

«» 

•8 

c*^ 

il 

«® 

a 

Ii      11 

fa'J2 

fax 

fax 

faX 

fax 

fax 

fax 

fax 

fax 

1!   II 

fax 

.3 

.10 

.15 

.19 

.23 

.26 

.29 

.31 

.34 

.36 

.38 

.40 

.4 

.18 

.27 

.35 

.41 

.46 

.51 

.56 

.60 

.64 

.67 

.71 

.6 

.25 

.39 

.49 

.57 

.64 

.71 

.77 

.83 

.88 

.93 

.98 

.8 

.33 

,19 

.61 

.72 

.81 

.89 

.97 

1.04 

1.10 

1.17 

1.23 

.0 

.39 

.59 

.73 

.86 

.96 

1.06 

1.15 

1.23 

1.31 

1.39 

1.45 

.2 

.46 

.68 

.84 

.98 

1.11 

1.22 

1.32 

1.42 

1.50 

1.59 

1.67 

.4 

.52 

.76 

.95 

1.10 

1.24 

1.37 

1.48 

1.59 

1.69 

1.78 

1.87 

.6 

.58 

.85 

1.05 

1.22 

1.38 

1.51 

1.64 

1.75 

1.86 

1.96 

2.06 

.8 

.64 

.93 

1.15 

1.34 

1.50 

1.65 

1.78 

1.91 

2.03 

2.14 

2.24 

.0 

.70 

1.01 

1.25 

1.44 

1.62 

1.78 

1.92 

2.06 

2.19 

2.31 

2.42 

.2 

.75 

1.08 

1.34 

1.55 

1.74 

1.91 

2.06 

2.20 

2.34 

2.47 

2.59 

.4 

.81 

1.16 

1.43 

1.65 

1.85 

2.03 

2.19 

2.35 

2.49 

2.62 

2.75 

.6 

.86 

1.23 

1.51 

1.75 

1.96 

2.15 

2.32 

2.48 

2.63 

2.78 

2.91 

.8 

.91 

1.30 

1.59 

1.84 

2.06 

2.26 

2.44 

2.61 

2.77 

2.92 

3.07 

.0 

.96 

1.37 

1.68 

1.94 

2.17 

2.37 

2.56 

2.74 

2.91 

3.07 

3.22 

.2 

1.01 

1.43 

1.75 

2.03 

2.27 

2.48 

2.68 

2.87 

3.04 

3.21 

3.36 

.4 

1.06 

1.50 

1.83 

2.12 

2.37 

2.59 

2.80 

2.99 

3.17 

3.34 

3.50 

.6 

1.11 

1.56 

1.91 

2.20 

2.46 

2.69 

2.91 

3.11 

3.30 

3.47 

3.64 

.8 

1.16 

1.62 

1.98 

2.29 

2.55 

2.79 

3.02 

3.23 

3.42 

3.60 

3.78 

.0 

1.20 

1.68 

2.06 

2.37 

2.64 

2.89 

3.12 

3.34 

3.54 

3.73 

3.91 

.2 

1.25 

1.74 

2.13 

2.45 

2.73 

2.99 

3.23 

3.45 

3.66 

3.85 

4.04 

.4 

1.29 

1.80 

2.20 

2.53 

2.82 

3.09 

3.33 

3.56 

3.78 

3.98 

4.17 

.6 

1.34 

1.86 

2.27 

2.61 

2.91 

3.18 

3.43 

3.67 

3.89 

4.10 

4.29 

.8 

1.38 

1.92 

2.33 

2.69 

2.99 

3.28 

3.53 

3.77 

4.00 

4.21 

4.42 

.0 

1.42 

1.97 

2.40 

2.76 

3.08 

3.37 

3.63 

3.88 

4.11 

4.33 

4.54 

.2 

1.46 

2.03 

2.47 

2.83 

3.16 

3.46 

3.73 

3.98 

4.22 

4.44 

4.66 

.4 

1.51 

2.09 

2.53 

2.91 

3.24 

3.54 

3.82 

4.08 

4.32 

4.55 

4.77 

.6 

1.55 

2.14 

2.59 

2.98 

3.32 

3.63 

3.91 

4.18 

4.43 

4.66 

4.89 

.8 

1.59 

2.19 

2.66 

3.05 

3.40 

3.72 

4.01 

4.28 

4.53 

4.77 

5.00 

.0 

1.63 

2.24 

2.72 

3.12 

3.48 

3.80 

4.10 

4.37 

4.63 

4.88 

5.11 

.2 

1.67 

2.30 

2.78 

3.19 

3.55 

3.88 

4.19 

4.47 

4.73 

4.98 

5.22 

.4 

1.71 

2.35 

2.84 

3.26 

3.63 

3.96 

4.27 

4.56 

4.83 

5.09 

5.33 

.6 

1.75 

2.40 

2.90 

3.33 

3.70 

4.04 

4.36 

4.65 

4.93 

5.19 

5.44 

.8 

1.78 

2.45 

2.96 

3.39 

3.78 

4.12 

4.45 

4.74 

5.02 

5.29 

5.55 

.0 

1.82 

2.50 

3.02 

3.46 

3.85 

4.20 

4.53 

4.83 

5.12 

5.39 

5.65 

.5 

1.91 

2.62 

3.16 

3.62 

4.03 

4.39 

4.74 

5.05 

5.35 

5.63 

5.90 

.0 

2.01 

2.73 

3.30 

3.78 

4.20 

4.58 

4.94 

5.27 

5.58 

5.87 

6.15 

.5 

2.10 

2.85 

3.43 

3.93 

4.37 

4.76 

5.13 

5.48 

5.80 

6.10 

6.39 

.0 

2.18 

2.96 

3.56 

4.08 

4.53 

4.94 

5.32 

5.68 

6.01 

6.33 

6.63 

.5 

2.27 

3.07 

3.69 

4.22 

4.69 

5.11 

5.51 

5.87 

6.22 

6.55 

6.86 

2.35 

3.18 

3.82 

4.3'6 

4.85 

5.28 

5.69 

6.07 

6.42 

6.76 

7.08 

2.51 

3.38 

4.06 

4.64 

5.15 

5.61 

6.04 

6.44 

6.82 

7.17 

7.51 

2.67 

3.58 

4.29 

4.90 

5.44 

5.93 

6.38 

6.80 

7.20 

7.57 

7.93 

2.82 

3.77 

4.52 

5.15 

5.72 

6.23 

6.70 

7.14 

7.56 

7.95 

8.33 

2.97 

3.96 

4.74 

5.40 

5.99 

6.52 

7.02 

7.48 

7.91 

8.32 

8.71 

3.11 

4.14 

4.95 

5.64 

6.25 

6.80 

7.32 

7.80 

8.25 

8.68 

9.09 

HYDRAULIC    AND   EXCAVATION    TABLES. 


37 


Table   8. —  Velocity  of  water  in  feet  per  second,  based  onKutter's 
formula,  coefficient  of  roughness 

11  =  .O225  — Continued. 


I 
II 

h 

1!    II 

F=  3.432 

8  =  .00065 

O.J 

.42 

.44 

0.4 

.74 

.77 

0.6 

1.03 

1.07 

o.s 

1.29 

1.34 

1.3 

1.52 

1.59 

1.2 

1.74 

1.82 

1.4 

1.95 

2.04 

1.6 

2.15 

2.24 

1.3 

2.35 

2.44 

2.0 

2.53 

2.63 

2.2 

2.71 

2.sr 

2.4 

2.88 

3.00 

2.8 

3.0i 

3.17 

2.3 

3.20 

3.34 

3.0 

3.36 

s.sr 

3.2 

3.51 

3.G6 

3.4 

3.G6 

3.81 

3.6 

3.80 

0    f   ~J 

3.9 

3.94 

4  11 

4.0 

4.08 

4.25 

4.2 

4.22 

4.39 

4.4 

4.35 

4.53 

4.6 

4.48 

4.07 

4.8 

4.61 

4.30 

5.0 

4.74 

4.9? 

5.2 

4.86 

5.0G 

5.4 

4.98 

5.12 

5.6 

5.10 

5.31 

5.8 

5.22 

5.43 

6.0 

5.34 

5.-5 

6.2 

5.45 

5.67 

6.4 

5.57 

5.79 

6.6 

5.G8 

5.91 

6.8 

5.79 

6.02 

7.0 

5.90 

6.13 

7.5 

6.16 

6.41 

8.0 

6.42 

6.68 

8.5 

6.67 

6.94 

9.0 

6.92 

7.19 

9.5 

7.15 

7.44 

10 

7.39 

7.G8 

11 

7.84 

8.15 

12 

8.27 

8.:o 

13 

8.69 

9.03 

14 

9.09 

9.45 

15 

9.48 

9.85 

P 

^® 

SI 

2§ 

i  2! 

5S 

*! 

l§ 

II      II 

II  II 

II  II 

H  if 

H  H* 

•  if  ii 

7  if 

II   II* 

fcGG 

btt 

8*  3D 

.45 

.47 

.49 

.50 

.52 

.53 

.55 

.61 

.80 

.83 

.86 

.89 

.92 

.94 

.97 

l.OS 

1.11 

1.15 

1.19 

1.23 

1.27 

1.30 

1.34 

1.5C 

1.39 

1.44 

1.49 

1.54 

1.58 

1.63 

1.67 

1.87 

1.65 

1.71 

1.76 

1.82 

1.87 

1.93 

1.98 

2.21 

1.89 

1.96 

2.02 

2.08 

2.15 

2.21 

2.26 

2.53 

2.11 

2.19 

2.L3 

2.33 

2.40 

2.47 

2.53 

2.84 

2*33 

2.49 

2.57 

2.65 

2.72 

2.70 

3.12 

2.54 

£63 

2.71 

2.80 

2.88 

2.96 

3.04 

3.4C 

2.73 

2.83 

2.93 

3.02 

3.10 

3.19 

3.27 

3.66 

2.93 

3.03 

C.13 

3.23 

3.32 

3.41 

3.50 

3.92 

3.11 

3.22 

3.33 

3.43 

3.53 

3.63 

3.72 

4.16 

3.29 

3.40 

3.52 

3.73 

3.83 

3.93 

4.40 

3.46 

3."8 

3.70 

3.81 

3.93 

4.03 

4.14 

4.63 

3.63 

3.76 

C.88 

4.00 

4.12 

4.23 

4.34 

4.85 

3.79 

3.93 

4.06 

<':.18 

4.30 

4.42 

4.5C 

5.07 

3.95 

4.09 

4.23 

•:!s6 

4.48 

4.60 

4.72 

5.28 

1.11 

4.25 

4.39 

4.53 

4.66 

4.79 

4.91 

5.49 

4.26 

4.41 

4.55 

•1.70 

4.83 

4.96 

5.09 

5.69 

4.41 

4.56 

4.71 

4.86 

5.00 

5.14 

5.27 

5.8 

4.56 

4.72 

4.87 

5.02 

5.16 

5.30 

5.44 

6.08 

4.70 

•'.86 

5.02 

5.18 

5.32 

5.47 

5.61 

6.27 

4.34 

5.01 

5.17 

5.33 

5.48 

5.63 

5.78 

6.46 

4.C  8 

5.15 

5.32 

5.48 

5.64 

5.79 

5.94 

6.64 

,",.11 

J.2C 

5.46 

5.63 

5.79 

5.95 

6.10 

6.82 

0.2,". 

5.43 

5.61 

5.78 

5.94 

6.11 

0.26 

7.00 

5.3C 

5.57 

5.75 

5.92 

6.09 

6.26 

G.42 

7.17 

5.51 

5.70 

5.38 

6.0G' 

6.24 

6.41 

6.57 

7.34 

5.G3 

5.83 

G.02 

6.20 

6.38 

6.5G 

6.72 

7.51 

5.76 

5.96 

6.15 

G.34 

G.52 

6.70 

6.87 

7.68 

5.88 

G.09 

6.28 

6.48 

6.65 

6.84 

7.02 

7.84 

6.00 

G.21 

G.41 

6.61 

6.80 

6.08 

7.16 

8.00 

G.12 

6.34 

6.54 

6.74 

6.93 

7.12 

7.31 

8.  10 

6.24 

6.46 

G.67 

6.87 

7.07 

7.26 

7.45 

$.32 

6.36 

6.58 

6.79 

7.00 

7.20 

7.40 

7.59 

8.47 

6.G5 

6.88 

7.10 

7.31 

7.52 

7.73 

7.93 

8.85 

6.92 

7.16 

7.40 

7.62 

7.84 

8.05 

8.26 

9.22 

7.19 

7.44 

7.68 

7.92 

8.14 

8.36 

8.58 

9.58 

7.46 

7.72 

7.96 

8.21 

8.44 

8.67 

8.89 

9.92 

7.71 

7.98 

8.24 

8.49 

8.73 

8.97 

9.19 

10.3 

7.97 

8.24 

8.50 

8.76 

9.01 

9.26 

9.49 

10.6 

C.45 

C  74 

7.02 

9.22 

9.36 

9.68 

9.80 

10.1 

10.2 

10.6 

38 


HYDKAULJC   AND   EXCAVATION    TABLES. 


Taljle  8. 


Velocity  of  water  in  feet  per  second,  based  onKutter's 
formula,  coefficient  of  roughness 

—  Continued. 


si* 

*  s 

> 

«3 

5? 

«O 

r» 

si 

R| 

1H     . 

II 

8-      3* 

si    %% 

fi 

Sao 

So 

i  gS 

1)  II 

n  n 

II     II                   II     II 

ii  n    n  n 

II  II 

M 

II  It 

fc 

fase 

hoc 

pM$ 

'*'J1 

£$ 

-V. 

hoo 

fcao 

fctt 

0.3 

.67 

.73 

.78 

.96 

1.11 

1.24 

1.36 

1.58 

1.76 

0.4 

1.19 

1.29 

1.38         1.70 

1.96 

2.19 

2.41 

2.78 

3.11 

O.G 

1.64 

1.78 

1.90         2.34 

2.70 

3.02 

3.31 

3.82 

4.28 

0.8 

2.05 

2.22 

2.37 

2.91 

3.37 

3.77 

4.13 

4.77 

5.33 

1.0 

2.43 

2.62 

2.81 

3.44 

3.98 

4.45 

4.88 

5.63 

6.30 

1.3 

2.78 

3.00 

3.21 

3.94 

4.55 

5.09 

5.58 

6.44 

7.21 

1.4 

3.11 

3.36 

3.60 

4.41 

5.09 

5.70 

6.21 

7.21 

8.0ft 

1.6 

3.43 

,".70 

3.06 

4.85 

5.61 

0.27 

6.87 

7.93 

8,87 

1.8 

3.73 

4.03 

4.31 

5.28 

6.10 

6.G2 

7.47 

8.63 

9.64 

2.0 

4.01 

4.34 

4.64 

5.68 

(j.57 

7.34 

8.04 

9.29 

10.4 

2.3 

4.29 

4.64 

4.96 

"..OS 

7.02 

7.85 

8.60 

9.93 

11.1 

2.4 

4.56 

4.93 

5.27 

<u;>       7.45 

8.33 

9.13 

10.  5 

11.8 

2.6 

4.82 

5.21 

5.57 

7.88 

8.C1 

9.G5 

11.1 

12.4 

2.8 

5.07 

5.48 

5.80 

7.17    1     8.28 

9.20 

10.2 

11.7 

13.1 

3.0 

5.32 

5.74 

6.14 

7.52         8.08 

9.71 

10.6 

12.3         13.7 

3.3 

5.55 

6.00 

6.41 

7.85  ;     9.07 

10.1 

11.1 

12.8         14.3 

3.4 

5.78 

6.25 

6.6S 

,S.1S        9.44 

10.6 

11.6 

13.4         14.9 

3.6 

6.01 

6.49 

6.94 

S.:><)         «.).S1 

11.0 

12.0 

13.9         15.5. 

3.8 

6.23 

6.73 

7.20 

8.S1       10.2 

11.4 

12.5 

14.4         16.1 

4.0 

G.45 

6.96 

7.44 

9.12       10.5 

11.8 

12.9 

14.9         16.6 

4.3 

6.66 

7.19 

7.69 

9.11       10.9 

12.2 

13.3 

15.4      !    17.2 

4.4   !      G.87 

7.42 

7.93 

9.71       11.2 

12.6 

13.7         15.9         17.7 

4.6        7.07 

7.64         8.16 

9.99       11.5 

12.9 

14.1 

16.3         18.2 

4.8        7.27 

7.85 

8.39 

h).:-5         11.9 

13.3 

14.5 

16.8     !   18.8 

5.0 

7.47 

8.07 

8.62 

10.6         12.2 

13.6 

14.9 

17.2         19.2 

1 

5.2 

7.66 

8.27         8.84 

10.8 

12.5 

14.0 

15.3 

17.7      I   19.8 

5.4 

7.85 

8.48 

9.06 

11.1 

12.8 

14.3 

15.7      1    18.1         20.2 

5.6 

8.04 

8.68 

9.28 

11.4 

13.1 

14.7 

16.1      1    18.5     j  20.7 

5.8 

8.22 

8.88 

9.49 

11.6 

13.4 

15.0 

16.4      !    19.0     1   21.2 

6.0 

S.40 

9.07         9.70 

11.9 

13.7 

15.3 

16.8 

19.4        21.6 

6.2 

8.58 

9.27         9.90 

12.1 

14.0 

15.6 

17.1 

19.8 

22.1 

6.4 

G.76 

9.4G 

10.1 

12.4 

14.3 

10.0 

17.5 

20.2 

22.6 

6.6 

S."3 

9.05 

10.3 

12.6 

14.6 

1C.3 

17.8 

20.6 

23.0 

6.8 

9.11 

9.82 

10.5 

12.9 

14.8 

i:.c 

18.2 

21.0 

23.4 

7.0 

9.27 

9.99 

10.7 

13.1 

15.1 

16.9 

18.5 

21.4 

23.9 

7.5 

9.68 

10.5 

11.2 

13.7 

15.8 

17.7 

19.3 

22.3 

24.9 

8.0 

10.1 

10.9 

11.6 

14.2 

16.4 

18.4 

20.1 

23.2 

26.0 

8.5 

10.5 

11.3 

12.1 

14.8 

17.1 

19.1 

20.9 

24.1 

27.0 

r.o 

10.9 

11.7 

12.5         15.3 

17.7 

19.8 

21.7 

25.0 

27.9 

C.5 

11.3 

12.1 

13.0         15.9 

18.3 

20.5 

22.4 

25.9 

28.9 

10.0 

11.6 

12.5 

13.4 

16.4 

18.9 

21.1 

23.1 

26.7 

29.8 

HYDBAULIC  AND    EXCAVATION    TABLES.  39 

'('able  9. — Velocity  of  water  in  feet  per  second,  based  on  Kutter's 

formula,  coefficient  of  roughness 

n  =.O25. 


1 

5j| 

ii 

il 

A 

11 

T*  * 

§1 

ii 

*»§ 
**p 
e^*: 

§1 

**«? 

5 

1 

II   1! 

II  II 

[I      || 

II   II 

II      II 

H      '1 

II    i! 

II  II 

II  II 

ii 

I 

fa  3D 

&,-/} 

fa* 

fatt 

frjQ 

face 

fax 

face 

fa* 

fa 

! 

0.2 

.08 

.13 

.17 

.20 

.22 

.25 

.27 

.29 

.31 

0.4 

.16 

.24 

.30 

.36 

.41 

.45 

.49 

.53 

.56 

0.6 

.23 

.34 

.43 

.50 

.57 

.63 

.68 

.73 

.78 

0.8 

.29 

.43 

.54 

.63 

.72         .79 

.86 

.92 

.98 

1 

1.0 

.35 

.52 

.65 

.76 

.85 

.94 

1.02 

1.09 

1.16 

1 

1.2 

.41 

.60 

.75         .87 

.98 

1.08 

1.17 

1.26 

1.34 

1 

1.4 

.47 

.68 

.84    j      .99 

1.11 

1.22 

1.32 

1.41 

1.51 

1 

1.6 

.52 

.76 

.94    |    1.09 

1.23 

1.35 

1.46 

1.56 

1.66 

1 

1.8 
2.0 

.57 
.62 

.83 
.90 

1.03 
1.11 

1.19 
1.29 

1.34 
1.45 

1.47 
1.59 

1.59 
1.72 

1.70 
1.84 

1.81 
1.96 

1 

2 

2.2 

.67 

.97 

1.20 

1.39 

1.55 

1.71 

1.84 

1.97 

2.10 

2 

2.4 

.72 

1.04 

1.28 

J.48 

1.66 

1.82 

1.90 

2.10 

2.23 

2 

2.6 

.77 

1.10 

1.36 

1.57 

1.76 

1.93 

2.08 

2.23 

2.36 

2 

2.8 

.82 

1.17 

1.43 

1.66 

1.85 

2.03 

2.19 

2.3.', 

2.49 

2 

3.0 

.86 

1.23 

1.51 

1.74 

1.95 

2.13 

2.31 

2.46 

2.61 

2 

3.2 

.91 

1.29 

1.58 

1.82 

2.04 

2.23 

2.41 

2.58 

2.74 

2 

3.4 

.96 

1.35 

1.65 

1.90 

2.13 

2.33 

2.52 

2.69 

2.85 

3 

3.6 

1.00 

1.41 

1.72 

1.98 

2.22 

2.43 

2.62 

2.80 

2.97 

3 

3.8 

1.Q4 

1.46 

1.79 

2.06 

2.30 

2.52 

2.72 

2.91 

3.08 

3 

4,0 

1.08 

1.52 

1.85 

2.14 

2.39 

2.61 

2.82 

3.01 

3.19 

3 

4.2 

1.13 

1.57 

1.92 

2.21 

2.47 

2.70 

2.92 

3.12 

3.30 

3 

4.4 

1.17 

1.63 

1.99 

2.29 

2.55 

2.79 

3.01 

3.22 

3.41 

3 

4.6 

1.21 

1.68 

2.05 

2.36 

2.63 

2.88 

3.10 

3.32 

3.51 

3 

4.8 

1.25 

1.74 

2.11 

2.43 

2.71 

2.96 

3.19 

3.41 

3.62 

3 

5.0 

1.29 

1.79 

2.17 

2.50 

2.78 

3.04 

3.28 

3.51 

3.72 

3 

5.2 

1.33 

1.84 

2.23 

2.57 

2.86 

3.13 

3.37 

3.60 

3.82 

4 

5.4 

1.36 

1.89 

2.29 

2.63 

2.93 

3.21 

3.46 

3.69. 

3.92 

4 

5.6 

1.40 

1.94 

2.35 

2.70 

3.01 

3.29 

3.55 

3.79 

4.01 

4 

5.8 

1.44 

1.99 

2.41 

2.77 

3.08 

3.37 

3.63 

3.88 

4.11 

4 

6.0 

1.48 

2.03 

2.47 

2.83 

3.J5 

3.44 

3.71 

3.96 

4.20 

4 

6.2 

1.51 

2.08 

2.52 

2.89 

3.22 

3.52 

3.80 

4.05 

4.29 

4 

6.4 

1.55 

2.J3 

2.58 

2.96 

3.29 

s.eo 

3.88 

4.14 

4.38 

4 

6.6 

1.59 

2.18 

2.63 

3.02 

3.36 

3.67 

3.96 

4.22 

4.47 

4 

6.8 

1.62 

2.22 

2.69 

3.08 

3.43 

3.74 

4.04 

4.31 

4.56 

4 

7.0 

1.65 

2.27 

2.74 

3.14 

3.50 

3.81 

4.11 

4.39 

4.65 

4 

7.5 

1.74 

2.38 

2.87 

3.29 

3.66 

3.99 

4.30 

4.59 

4.86 

5 

8.0 

1.83 

2.49 

3.00 

8.43 

3.82 

4.17 

4.49 

4.79 

5.07 

5 

8.5 

1.91 

2.59 

3.13 

8.57 

3.98 

4.34 

4.67 

4.98 

5.27 

5 

9.0 

1.99 

2.70 

3.25 

3.71 

4.13 

4.50 

4.85 

5.16 

5.47 

5 

9.5 

2.07 

2.80 

3.37 

3.85 

4.28 

4.66 

5.02 

5.35 

5.67 

5 

10 

2.15 

2.90 

3.48 

3.98 

4.42 

4.82 

5.19 

5.53 

5.86 

(] 

11 

2.30 

3.09 

3.71 

4.23 

4.70 

6.12 

5.51 

6.88 

6.22 

6 

12 

2.44 

3.28 

3.92 

4.48 

4.97 

5.41 

5.82 

6.21 

6.67 

6. 

13 

2.58 

3.45 

4.13 

4.71 

5.23 

5.70 

6.13 

6.63 

6.91 

7. 

L4 

2.72 

3.63 

4.34 

4.94 

5.48 

5.97 

6.42 

6.84 

7.24 

7. 

15 

2.86 

3.80 

4.53 

5.16 

5.72 

6.23 

6.70 

7.14 

7.55 

7. 

16 

2.09 

3.90       4.72 

5.37 

:>.<<.;       648;       6.07 

7.43 

7.86 

8. 

40 


HYDRAULIC   AND   EXCAVATION    TABLES. 


Table   9. — Velocity  of  water  in  feet  per  second,  based  on  Kutter's 

formula,  coefficient  of  roughness 

n  =.O25  —  Continued. 


g  £ 

ll 

|| 

si 

ll 

>* 
o  *•» 

£* 
•  ss 

•*  X 

«GO 
oc  o 

*#9 

s! 

r»  s 

ll 

e 
gj| 

•  > 

*J  . 

*** 

M     . 

w* 

w^ 

W  * 

•*    . 

^  * 

Wi     . 

•a4: 

t 

fcX 

li  II 

&.3Q 

II    II 

fc» 

fcOQ 

II  II 

fc« 

;i   li 

;->-. 

fc/2 

1!   II 
&»» 

II   il 

fe  A 

II  li 

i* 

0.2 

.35 

.3e 

.38 

.39 

.41 

.42 

.44 

.45 

.46 

.48 

0.4 

.62 

.65 

.68 

.71 

.73 

.76 

.78 

.80 

.88 

.85 

0.6 

.86 

.90 

.94 

.98 

1.01 

1  .05 

1.08 

1.11 

1.15 

1.18 

0.8 

1.08 

1.13 

1.18 

1.23 

1.27 

1.U2 

1.36 

1.40 

1.44 

1.48 

1.0 

1.29 

1.35 

1.40 

1.46 

1.51 

1.57 

1.61 

1.66 

1.71 

1.70 

1 

L* 

1.48 

1.55 

1.61 

1.68 

1.74 

1.80 

1.85 

1.91 

1.96 

2.01 

1.4 

1.66 

1.74 

1.81 

1.88 

1.95 

2.01 

2.07 

2.14 

2.20 

2.2»i 

1.6 

1.84 

1.92 

2.00 

2.08 

2.15 

2.22 

2.29 

2.36 

2.43 

2.49 

1.8 

2.00 

2.10 

2.18 

2.27 

2.^4 

2.42 

2.50 

2.57 

2.64 

2.71 

2.0 

2.17 

2.26 

2.36 

2:45 

2.53 

2.62 

2.70 

2.78 

2.85 

2.93 

2.2 

2.32 

2.42 

2.52 

2.62 

2.71 

2.80 

2.89 

2.97 

3.06 

3.  It 

2.4 

2.47 

2.58 

2.68 

2.79 

2.88 

2.98 

3.07 

3.16 

3.25 

3.34 

2.6 

2.61 

2.73 

2.84 

2.95 

3.05 

3.16 

3.25 

3.35 

3.44 

3.53 

3.8 

2.75 

2.88 

3.00 

3.11 

3.22 

2.32 

3.43 

3.53 

3.62 

3.72 

3.0 

2.89 

3.02 

3.14 

3.26 

3.38 

3.49 

3.60 

3.70 

3.80 

3.90 

3.2 

3.02 

3.16 

3.29 

3.41 

3.53 

3.65 

3.76 

3.87 

3.98 

4.08 

3.4 

3.15 

3.30 

3.43 

3.56 

3.68 

3.80 

3.92 

4.04 

4.15 

4.22 

3.6 

3.28 

3.43 

3.57 

3.70 

3.83 

3.96 

4.08 

4.20 

4.31 

4.45 

3.8 

3.41 

3.56 

3.70 

3.84 

3.98 

4.11 

4.23 

4.35 

4.47 

4.59 

4.0 

3.53 

3.68 

3.83 

3.98 

4.12 

4.25 

4.38 

4.51 

4.63 

4.75 

4.2 

3.65 

3.81 

3.96 

4.11 

4.26 

4.40 

4.53 

4.66 

4.79 

4.91 

4.4 

3.77 

3.93 

4.09 

4.24 

4.39 

4.54 

4.67 

4.81 

4.94 

5.07 

4.6 

3.88 

4.05 

4.22 

4.37 

4.53 

4.67 

4.82 

4.96 

5.09 

5.22 

4.8 

3.99 

4.17 

4.34 

4.50 

4.66 

4.81 

4.96 

5.10 

5.24 

5.37 

o.O 

4.11 

4.28 

4.46 

4.63 

4.79 

4.94 

5.09 

5.24 

5.38 

5.52 

5.2 

4.21 

4.40 

4.58 

4.75 

4.91 

5.07 

5.23 

5.38 

5.53 

5.67 

5.4 

4.32 

4.51 

4.69 

4.87 

5.04 

5.20 

5.36 

5.52 

5.67 

5.81 

5.6 

4.43 

4.62 

4.81 

4.99 

5.16 

5.33 

5.49 

5.65 

5.80 

5.95 

5.8 

4.53 

4.73 

4.92 

5.11 

5.28 

5.46 

5.62 

5.78 

5.94 

6.09 

6.0 

4.64 

4.84 

6.03 

5.22 

5.40 

5.58 

5.75 

5.91 

6.07 

6.22 

6.2 

4.74 

4.94 

5.14 

5.34 

5.52 

5.70 

5.87 

6.04 

6.20 

6.36 

6.4 

4.84 

5.05 

5.25 

5.45 

5.64 

5.82 

6.00 

6.17 

6.33 

6.50 

6.6 

4.94 

5.15 

5.36 

5.56 

5.75 

5.94 

6.12 

6.29 

6.46 

6.63 

6.8 

5.03 

5.25 

5.46 

5.67 

5.86 

6.05 

6.24 

6.42 

6.59 

6.76 

7.0 

5.13 

5.35 

5.57 

5.77 

5.97 

6.17 

6.36 

6.54 

6.71 

6.89 

7.5 

5.36 

5.60 

5.82 

6.04 

6.25 

6.45 

6.65 

6.84 

7.02 

7.20 

8.0 

5.59 

5.84 

6.07 

6.30 

6.51 

6.72 

6.93 

7.13 

7.32 

7.51 

8.5 

5.82 

6.07 

6.31 

6.54 

6.77 

6.99 

7.20 

7.41 

7.61 

7.80 

9.0 

6.03 

6.30 

6.55 

6.79 

7.02 

7.25 

7.47 

7.68 

7.89 

8.09 

9.5 

6.25 

6.52 

6.78 

7.03 

7.27 

7.50 

7.73 

7.95 

8.16 

8.37 

10 

6.45 

6.73 

7.00 

7.26 

7.51 

7.75 

7.98 

8.21 

8.43 

8.65 

jj 

6  85 

7.15 

7.44 

7.71 

7.97 

12 

7.24 

7.  55 

7.85 

8!l4 

8^42 

13 

7  61 

7*94 

8.25 

8.56 

8.85 

14 

7\97 

8.31 

8.64 

8^96 

Q.26 

15 

8  32 

s!fi7 

9  02 

9  35 

9.66 

16 

8^65 

9!02 

9^38 

9.72 

10.  1 



HYDRAULIC   AND  EXCAVATION    TABLES. 


41 


rable   9. — Velocity  of  water  in  feet  per  second,  based  onKutter's 
formula,  coefficient  of  roughness 

n  =.O25  —  Continued. 


i 

1 

0 

JS 

<o 

00 

•* 

o 

'si 

Si 

SI 

Si 

Si 

s« 

ii 

2| 

n9. 

s* 

8® 

HI 

; 

1!    1! 

face 

face 

face 

face 

face 

face 

face 

face 

II 

face 

/> 

.53 

.59 

.63 

.68 

.83 

.97 

1.08 

1.18 

1.37 

1.53 

.4 

:    .95 

1.04 

1.13 

1.21 

1.49 

1.72 

1.92 

2.11 

2.43 

2.72 

.6 

1.32 

1.44 

1.57 

1.68 

2.06 

2.38 

2.66 

2.92 

3.37 

3.77 

.8 

!  1.65 

1.81 

1.96 

2.10 

2.57 

2.97 

3.33 

3.65 

4.21 

4.72 

.0 

1.96 

2.15 

2.33 

2.49 

3.05 

3.53 

3.95 

4.32 

4.99 

5.59 

.1 

2.25 

2.47 

2.67 

2.85 

3.50 

4.05 

4.53 

4.96 

5.73 

6.40 

.4 

2.53 

2.77 

2.99 

3.20 

3.92 

4.54 

5.07 

5.56 

6.42 

7.17 

.<> 

2.79 

3.05 

3.30 

3.53 

4.33 

5.00 

5.59 

6.13 

7.08 

7.91 

Is 

3.04 

3.33 

3.60 

3.85 

4.71 

5.45 

6.09 

6.67 

7.71 

8.62 

.0 

3.28 

3.59 

3.88 

4.15 

5.08 

5.87 

6.57 

7.19 

8.31 

9.29 

.« 

3.51 

3.84 

4.15 

4.44 

5.44 

6.28 

7.03 

7.70 

8.89 

9.94 

A 

3.73 

4.09 

4.42 

4.72 

5.79 

6.68 

7.47 

8.19 

9.45 

10.6 

.(> 

3.95 

4.32 

4.67 

5.00 

6.12 

7.07 

7.90 

8.66 

10.0 

11.2 

.8 

4.16 

4.55 

4.92 

5.26 

6.44 

7.44 

8.32 

9.11 

10.5 

11.8 

.5) 

4.36 

4.78 

5.16 

5.51 

6.76 

7.80 

8.73 

9.56 

11.0 

12.3 

.3 

4.56 

5.00 

5.40 

5.77 

7.07 

8.16 

9.12 

9.99 

11.5 

12.9 

.1 

4.76 

5.21 

5.63 

6.01 

7.37 

8.50 

9.51 

10.4 

12.0 

13.4 

.« 

4.94 

5.42 

5.85 

6.25 

7.66 

8.84 

9.88 

10.8 

12.5 

14.0 

.S 

5.13 

5.62 

6.07 

6.49 

7.94 

9.17 

10.3 

11.2 

13.0 

14.5 

.0 

5.31 

5.82 

6.28 

6.71 

8.22 

9.49 

10.6 

11.6 

13.4 

15.0 

.« 

5.49 

6.01 

6.50 

6.94 

8.50 

9.81 

11.0 

12.0 

13.9 

15.5 

.4 

5.66 

6.20 

6.70 

7.16 

8.77 

10.1 

11.3 

12.4 

14.3 

16.0 

.6 

5.84 

6.39 

6.90 

7.38 

9.03 

10.4 

11.7 

12.8 

14.7 

16.5 

.8 

6.00 

6.57 

7.10 

7.59 

9.29 

10.7 

12.0 

13.1 

15.2 

17.0 

.0 

6.17 

6.75 

7.29 

7.80 

9.54 

11.0 

12.3 

13.5 

15.6 

17.4 

.2 

6.33 

6.93 

7.49 

8.00 

9.79 

11.3 

12.6 

13.8 

16.0 

17.9 

.1 

6.49 

7.11 

7.68 

8.20 

10.0 

11.6 

13.0 

14.2 

16.4 

18.3 

f» 

6.65 

7.28 

7.86 

8.40 

10.3 

11.9 

13.3 

14.5 

16.8 

18.8 

is 

6.81 

7.45 

8.04 

8.60 

10.5 

12.1 

13.6 

14.9 

17.2 

19.2 

.0 

6.96 

7.61 

8.22 

8.79 

10.8 

12.4 

13.9 

15.2 

17.6 

19.6 

.2 

7.11 

7.78 

8.40 

8.98 

11.0 

12.7 

14.2 

15.5 

17.9 

20.0 

.4 

7.26 

7.94 

8.58 

9.17 

11.2 

13.0 

14.5 

15.9 

18.3 

20.5 

.0 

7.40 

8.10 

8.75 

9.35 

11.4 

13.2 

14.8 

16.2 

18.7 

20.9 

.8 

7.55 

8.26 

8.92 

9.53 

11.7 

13.5 

15.1 

16.5 

19.0 

21.3 

.0 

7.69 

8.42 

9.09 

9.71 

11.9 

13.7 

15.3 

16.8 

19.4 

21.7 

.5 

8.04 

8.80 

9.50 

10.2 

12.4 

14.3 

16.0 

17.6 

20.3 

22.6 

.0 

8.38 

9.17 

9.90 

10.6 

13.0 

14.9 

16.7 

18.3 

21.1 

23.6 

.5 

8.71 

9.53 

10.3 

11.0 

13.5 

15.5 

17.4 

19.0 

21.9 

24.5 

.0 

9.03 

9.89 

10.7 

11.4 

14.0 

16.1 

18.0 

19.7 

22.7 

25.4 

.5 

9.35 

10.2 

11.0 

11.8 

14.4 

16.7 

18.6 

20.4 

23.5 

26.3 

.0 

9.66 

10.5 

11.4 

12.2 

14.9 

17.2 

19.2 

21.1 

24.3 

27.2 

42 


HYDRAULIC   AND   EX.CAVAT10K    TABLES. 


Tal>f e  1O. — Velocity  of  water  in  feet  per  second,  based  on  Kutter's 

formula,  coefficient  of  roughness 

n  =  ,03O. 


sf 

ii 

^| 

!? 

if 

§1 

ii 

If 

**  2 

ti 

Ii 

^ 

U   N* 

if  if 

II  II 

II   II 

n  n 

V  ii 

1!    II 

IL  II 

1     fl  It 

A 

faOQ 

face 

fa« 

fa33 

faac 

fcOG 

fa«2 

0.2 

a/ 

.10 

.13 

.16 

.18 

.20 

.21 

.23 

.24 

.26 

0.4 

.13 

.19 

.24 

.29 

.32 

.36 

•i9 

.42 

.44 

.47 

0.6 

.18 

.27 

.34 

.45 

.50 

.55 

.59 

.62 

6<> 

0.8 

.23 

.35 

.44 

.57 

.63 

.69 

.74 

.79 

.83 

l.o 

.28 

.42 

.53 

4f 

.69 

.76 

.83 

.89 

.94 

1.00 

1.2 

.33 

.49 

.61 

.71 

.80 

.88 

.96 

1.02 

1.09 

1.1.5 

1,4 

.38 

.56 

.69 

.80 

.91 

.99 

}.08 

1.15 

1.23 

1.30 

1.6 

.43 

.62 

.77 

.89 

1.01 

1.10 

1.20 

J.28 

1.36 

1.44 

1.8 

.47 

J68 

.84 

.98 

.10 

1.21 

1.31 

1.40 

1.49 

1.57 

3.0 

.51 

.74 

.92 

1.07 

.19 

1.31 

1.42 

1,52 

1.61 

1.70 

3.2 

.56 

.80 

.99 

1.15 

.28 

1.41 

1.53 

1.63 

1.73 

1.83 

2.4 

.60 

.86 

1J06 

1.22 

.37 

1.51 

1.63 

1.74 

1.85 

1.95 

2.6 

.64 

.91 

.12 

1.30 

.46 

1.60 

1.73 

1.85 

1.96 

2.07 

2.8 

.68 

.97 

.19 

1.37 

.54 

1.69 

1.82 

1.95 

2.07 

2.18 

3.0 

.72 

1.02 

.25 

1.45 

1.62 

1.77 

1.92 

2.05 

2.17 

2.29 

3.2 

.76 

1.07 

.32 

1.52 

1.70 

1.86 

2.01 

2.15 

2.28 

2.40 

3.4 

.SO 

1.12 

.38 

1.59 

1.78 

1.95 

2.10 

2.25 

2.38 

2.51 

3.6 

.83 

1.17 

.44 

1.66 

1.85 

2.03 

2.19 

2.34 

2.48 

2.61 

3.8 

.87 

1.22 

.50 

1.72 

1.93 

2.11 

2.28 

2.43 

2.58 

2.72 

4.0. 

.91 

1.27 

.55 

1.78 

2.00 

2.18 

2.36 

2.52 

2.67 

2.83 

4.2 

.94 

1.32 

.61 

1.85 

2.07 

2.26 

2.44 

2.61 

2.77 

2.92 

4.4 

.98 

1.37 

.67 

1.92 

2.14 

2.34 

2.53 

2.70 

2.86 

3.01 

4.6 

1.01 

1.41 

.72 

1.98 

2.21 

2.42 

2.61 

2.78 

2.95 

3.11 

4.8 

1.05 

1.46 

.78 

2.04 

2.28 

2.49 

2.69 

2.87 

3.04 

3.20 

1J08 

1.50 

.83 

2.10 

2.34 

2.56 

2.76 

2.95 

3.13 

3.29 

5.2 

1.12 

1.55 

.88 

2.16 

2.41 

2.63 

2.84 

3.03 

3.21 

3.38 

5.4 

1.15 

1.59 

.93 

2.22 

2.47 

2.70 

2.92 

3.11 

3.30 

3.47 

5.« 

1.18 

1453 

1.98 

2.28 

2.54 

2.77 

2.99 

3.19 

3.38 

3.56 

5.8 

1.22 

1.68 

2.03 

2.34 

2.60 

2.84 

3.06 

3.27 

3.46 

3.65 

6.« 

1.25 

1.72 

2.08 

2.40 

2.66 

2.91 

3.14 

3.35 

3.55 

3.73 

6.2 

1,28 

1.76 

2.13 

2.45 

2.72 

2.98 

3.21 

3.42 

3.63 

3.82 

6.4 

1.31 

1.80 

2.18 

2.51 

2.78 

3.04 

3.28 

3.50 

3.71 

3.90 

1.34 

1.84 

2.23 

2.56 

2.84 

3.11 

3.35 

3.57 

3.78 

3.98 

Sis 

1.37 

1.88 

2.28 

2.61 

2.90 

3.17 

3.42 

3.65 

3.86 

4.06 

?.o 

1.40 

1.92 

2.32 

2.66 

2.96 

3.24 

3.48 

3.72 

3.94 

4.14 

7.5 

1.48 

2J02 

2.44 

2.79 

3.11 

3.39 

3.65 

3.90 

4.13 

4.34 

8.0 

1.55 

2.12 

2.55 

2.92 

3.25 

3.54 

3.81 

4.07 

4.31 

4.53 

8.5 

1.63 

2.21 

2.66 

3.04 

3.38 

3.69 

3.97 

4.24 

4.49 

4.72 

9.0 

1.70 

2.30 

2.77 

3.16 

3.51 

3.83 

4.13 

4.40 

4.66 

4.90 

9.5 

1.77 

2.39 

2.87 

3.28 

3.64 

3.97 

4.28 

4.56 

4.83 

5.08 

10 

1.84 

2.48 

2.97 

3.40 

3.77 

4.11 

4.43 

4.72 

4.99 

5.25 

11 

1.97 

2.65 

3.17 

3.63 

4.02 

4.38 

4.71 

5.02 

5.31 

5.59 

12 

2.10 

2.81 

3.36 

3.84 

4.25 

4.63 

4.99 

5.31 

5.62 

5.92 

13 

2.23 

2.97 

3.55 

4.04 

4.48 

4.88 

5.25 

5.59 

5.92 

6.23 

14 

2.35 

3.12 

3.73 

4.24 

4.70 

5.12 

5.51 

5.86 

6.21 

6.53 

15 

2.47 

3.27 

3.90 

4.43 

4.92 

5.35 

5.76 

6.13 

6.49 

6.82 

16 

2.58 

3.42 

4.07 

4.62 

5.13 

5.57 

6.00 

6.39 

6.76 

7.11 

MI*: 

ii  y 


HYDRAULIC    AND    EXCAVATION    TABLES. 


43 


Tal)le  JO. — Velocity  of  water  in  feet  per  second,  based  on  Kulter's 

formula,  coefficient  of  roughness 

n  =  .O3O  — Continued. 


c» 

«  Z 
£ 
N 

|§ 

,A 

II   II 

•**-Ji 

if 

13, 

ii 

«  . 

1!   II 
fatt 

ii 

fa« 

*! 

•*   . 
II  II 
face 

oo  cf 
oe  5 
**  3. 
p*^ 
II   II 
fctt 

M£ 

£i 

**  * 

;i  n 

fa* 

sees 

1! 

fa<% 

|i/ 

SI 

ii  n 

fat» 

' 

?! 

fa/2 

?! 

fa« 

0.3 

.28 

.30 

.31 

£2 

.33 

.34 

.35 

.36 

.37 

.42 

.46 

0.4 

.52 

.54 

.56 

.68 

.60 

.62 

.64 

.66 

.67 

.76 

.83 

e.6 

.72 

.76 

.79 

ii 

.84 

.87 

.89 

.92 

.94 

1.06 

1.16 

0.8 

.92 

.95 

.99 

1.03 

1.06 

1.10 

.13 

1.16 

1.19 

1.33 

1.46 

1.0 

1.10 

1.14 

1.18 

1.23 

1.27 

1.31 

.35 

1.38 

1.42 

1.59 

1.74 

1.2 

1.26 

1.32 

1.37 

1.42 

1.46 

1.51 

.55 

1.60 

1.64 

1.83 

2.01 

1.4 

1.42 

1.48 

1.54 

1.59 

1.65 

1.70 

.75 

1.80 

1.84 

2.07 

2.20 

1.6 

1.58 

1  .H-i 

1.70 

1.76 

1.82 

1.88 

.94 

1.99 

2.04 

2.29 

2.51 

1.8 

1.72 

1.79 

1.86 

1.93 

1.99 

2.06 

2.12 

2.17 

2.23 

2.50 

2.74 

3.0 

1.87 

1.94 

2.02 

2.09 

2.1(J 

2.22 

2.29 

2.35 

2.41 

2.70 

2.96 

8.2 

2JOO 

2.08 

2.16 

2.24 

2.31 

2.39 

2.46 

2.52 

2.59 

2.90 

3.17 

2.4 

2.13 

2.22 

2.31 

2.39 

2.47 

2.54 

2.62 

2-60 

2.76 

3.09 

3.38 

2.6 

2.26 

2.36 

2.45 

2.53 

2.62 

2-70 

2.78 

2.85 

2.93 

3.27 

3.59 

2.8 

2.30 

2.49 

2.58 

2.67 

2.76 

2.85 

2.93 

3.01 

3.09 

3.45 

3.79 

3.0 

2.51 

2.61 

2.72 

2.81 

2.90 

2.99 

3.08 

3.16 

3.25 

3.63 

3.98 

3.2 

2.63 

2.74 

2.84 

2.94 

3.04 

3.13 

3.22 

3.31 

3.40 

3.80 

4.16 

3.4 

2.75 

2.86 

2.97 

3.07 

3.17 

3.27 

3.36 

3.46 

3.55 

3.97 

4.34 

3.6 

2.86 

2.98 

3.09 

3.20 

3.30 

3.41 

3.50 

3.60 

3.69 

4.13 

4.52 

3.8 

2.98 

3.10 

3.21 

3.33 

3.43 

3.54 

3.64 

3.74 

»3.84 

4.29 

4.70 

4.0 

3.09 

3.21 

3.33 

3.45 

3.56 

3.67 

3.77 

3.88 

3.98 

4.45 

4.87 

a 

3.19 
3.30 

3.32 
3.43 

3.45 

3.56 

3.57 
3.69 

3.68 
3.80 

3.80 

3.92 

3.91 

4.04 

4.01 
4.14 

4.12 
4.25 

4.60 
4.75 

5.04 
5.20 

4.6 

3.40 

3.54 

3.67 

3.80 

3.92 

4.04 

4.16 

4.27 

4.38 

4.90 

5.36 

4.8 

3.50 

3.65 

3.78 

3.92 

4.04 

4-16 

4.29 

4.40 

4.51 

5.05 

5.52 

5.0 

3.60 

3.75 

3.89 

4.03 

4.16 

4.28 

4.41 

4.53 

4.64 

5.19 

5.68 

5.2 

3.70 

3.83 

4.00 

4.14 

4.27 

4-40 

4.53 

4.65 

4.77 

5.33 

5.83 

5.4 

3.80 

3.95 

4.10 

4.24 

4.38 

4.52 

4.65 

4.77 

4.89 

5.47 

5.99 

5.6 

3.90 

4.05 

4.20 

4.35 

4.49 

4.63 

4.76 

4.89 

5.02 

5.60 

6.14 

5.8 

3.99 

4.15 

4.31 

4.46 

4.60 

4.74 

4-88 

5.01 

5.14 

5.74 

6.28 

6.0 

4.09 

4.25 

4-.41 

4.56 

4.71 

4.85 

4.99 

5.13 

5.26 

5.87 

6.43 

6.2 

4.18 

4.34 

4.51 

4.66 

4.81 

4-96 

5.10 

5.24 

5.38 

6.00 

6.57 

6.4 

4.27 

4.44 

4.60 

4.76 

4.92 

5.07 

5.21 

5.35 

5.49 

6.13 

6.71 

6.6 

4.36 

4.53 

4.70 

4.86 

5.02 

5.17 

5.32 

5.47 

5.61 

6.26 

6.85 

6.8 

4.45 

4.63 

4.80 

4.96 

5.13 

5.28 

5.  -13 

5.58 

5.72 

6.39 

6.99 

7.0 

4.53 

4.72 

4.90 

5.06 

5.23 

6.38 

5.54 

5.69 

5.83 

6.51 

7.13 

7.5 

4.74 

4.94 

5.13 

5.30 

5.48 

5.63 

5.80 

5.95 

6.10 

6.81 

7.46 

8.0 

4.95 

5.16 

5.35 

5.53 

5.72 

5,88 

6.05 

6.21 

6.37 

7.11 

7.79 

8.5 

5.16 

5.37 

5.57 

5.76 

5.95 

6.12 

6.30 

6.46 

6.63 

7.40 

8.10 

9,0 

5.36 

5.57 

5.78 

5.98 

6.17 

6.3i 

0.54 

6.71 

6.88 

7.69 

8.41 

9.5 

5.55 

5.77 

5.99 

6.19 

6.39 

6.58 

6.77 

6.95 

7.13 

7.96 

8.71 

10 

5.75 

5.97 

6.18 

6.40 

6.60 

6.81 

7.00 

7.19 

7.36 

8.23 

9.00 

11 

6.11 

6.35 

6.58 

6.81 

7.03 

7.24 

7.44 

7.64 

7.82 

8.75 

9.J7 

12 

6.45 

6.72 

6.97 

7.20 

7.43 

7.66 

7.87 

8.08 

8.26 

9.25 

10.  1 

13 

6.78 

7.07 

7.33 

7.58 

7.82 

8.06 

8.28 

8.51 

8.69 

9.73 

10.7 

14 

7.11 

741 

7.68 

7.94 

8.20 

8.44 

8.08 

8.92 

9.11 

10.2 

11.2 

15 

7.44 

7.74 

8.02 

8.30 

8.56 

8.82 

9.07 

9.31 

9.53 

10.7 

11.7 

16 

7.77 

8.06 

8.35 

8.64 

8.92 

9.18 

9.44 

9.70 

9.94 

11.1 

12.2 

44 


HYDRAULIC   AND  EXCAVATION    TABLES. 


Table  1O. — Velocity  of  'water  in  feet  per  second,  based  on  Kutter's 

formula,  coefficient  of  roughness 

n  =.O3O  —  Continued. 


si 
a1 

h 

?! 

fcOQ 

If 

fa  00 

«2 
»I 

-•/. 

li 

II  II 
fcaa 

s* 

8? 

n  n 

fc« 

ll 

II  II 

fc» 

3$ 

3* 

II  II 
fcao 

So 

gs 

II  II 
fe« 

0.2 

.50 

.53 

.65 

.76 

.85 

.93 

1.07 

1.20 

0.4 

.90 

.96 

1.18 

1.37 

1.53 

1.68 

1.94 

2.17 

0.6 

1.26 

1.34 

1.65 

1.91 

2.13 

2.34 

2.70 

3.02 

O.S 

1.58 

1.69 

2.08 

2.40 

2.69 

2.94 

3.40 

3.80 

1.0 

1.89 

2.02 

2.48 

2.86 

3.20 

3.51 

4.05 

4.53 

1.2 

2.17 

2.33 

2.85 

3.30 

3.69 

4.04 

4.67 

5.22 

1.4 

2.45 

2.62 

3.21 

3.71 

4.15 

4.54 

5.25 

5.87 

1.6 

2.71 

2.90 

3.55 

4.10 

4.59 

5.02 

5.80 

6.49 

1.8 

2.96 

3.16 

3.88 

4.48 

5.01 

5.49 

6.34 

7.08 

2.0 

3.20 

3.42 

4.19 

4.84 

5.41 

5.93 

6.85 

7.65 

2.2 

3.43 

3.67 

4.49 

5.19 

5.80 

6.36 

7.34 

8.21 

2.4 

3.65 

3.91 

4.79 

5.53 

6.18 

6.77 

7.82 

8.75 

2.6 

3.87 

4.14 

5.07 

5.86 

6.55 

7.18 

8.29 

9.27 

2.8 

4.08 

4.37 

5.35 

6.18 

6.91 

7.57 

8.74 

9.77 

3.0 

4.29 

4.59 

5.62 

6.49 

7.26 

7.95 

9.18 

10.3 

3.2 

4.50 

4.81 

5.89 

6.80 

7.60 

8.32 

9.61 

10.7 

3.4 

4.70 

5.02 

6.14 

7.09 

7.93 

8.69 

10.0 

11.2 

3.6 

4.89 

5.22 

6.39 

7.38 

8.25 

9.04 

10.4 

11.7 

3.8 

5.08 

5.42 

6.64 

7.67 

8.57 

9.39 

10.8 

12.1 

4.0 

5.26 

5.62 

6.88 

7.95 

8.88 

9.73 

11.2 

12.6 

4.2 

5.44 

5.81 

7.12 

8.22 

9.19 

10.1 

11.6 

13.0 

4.4 

5.62 

6.00 

7.35 

8.49 

9.49 

104 

12.0 

13.4 

4.6 

5.79 

6.19 

7.58 

8.75 

9.78 

10.7 

12.4 

13.8 

4.8 

5.96 

6.38 

7.80 

9.01 

10.1 

11.0 

12.8 

14.2 

5.9 

6.13 

6.56 

8.02 

9.26 

10.4 

11.3 

13.1 

14.6 

5.2 

6.30 

6.73 

8.24 

9.51 

10.6 

11.7 

13.5 

15.0 

5.4 

6.47 

6.91 

8.46 

9.76 

10.9 

12.0 

13.8 

15.4 

5.6 

6.63 

7.08 

8.67 

10.0 

11.2 

12.3 

14.1 

15.8 

5.8 

6.79 

7.25 

8.87 

10.3 

11.5 

12.5 

14.5 

16.2 

6.0 

6.94 

7.42 

9.08 

10.5 

11.7 

12.8 

14.8 

16.6 

6.2 

7.10 

7.58 

9.28 

10.7 

12.0 

13.1 

15.1 

16.9 

(5.4 

7.25 

7.75 

9.48 

11.0 

12.2 

13.4 

15.5 

17.3 

6.6 

7.40 

7.91 

9.67 

11.2 

12.5 

13.7 

15.8 

17.6 

6.8 

7.55 

8.08 

9.87 

11.4 

12.7 

14.0 

16.1 

18.0 

7.0 

7.70 

8.24 

10.1 

11.6 

13.0 

14.2 

16.4 

18.3 

7.5 

8.05 

8.62 

10.6 

12.2 

13.6 

14.9 

17.2 

19.2 

8.0 

8.40 

9.00 

11.0 

12.7 

14.2 

15.5 

17.9 

20.3 

8.5 

8.74 

9.38 

11.5 

13.2 

14.8 

16.2 

18.6 

20.8 

9.0 

9.08 

9.74 

11.9 

13.7 

15.3 

16.8 

19.3 

21.6 

9.5 

9.40 

10.1 

12.3 

14.2 

15.9 

17.4 

20.0 

22.4 

10 

9.72 

10.4 

12.7 

14.7 

16.4 

17.9 

20.7 

23.1 

11 

10.3 

11.1 

13.5 

15.6 

17.4 

19.1 

22.0 

24.6 

12 

10.9 

11.7 

14.3 

16.5 

18.4 

20.1 

23.3 

26.0 

13 

11.5 

12.2 

15.0 

17.3 

19.4 

21.2 

24.5 

27.3 

14 

12.0 

12.9 

15.7 

18.1 

20.3 

22.2 

25.6 

28.6 

15 

12.6 

13.5 

16.4 

18.9 

21.2 

23.2 

26.8 

29.9 

16 

13.1 

14.1 

17.1 

19.7 

22.0 

24.1 

27.8 

31.1 

HYDRAULIC   AND  EXCAVATION    TABLES. 


45 


Table   11.— Velocity  of  water  in  feet  per  second,  based  on  1\  utter' s 

formula,  coefficient  of  roughness 

n  =  .035. 


IJD 

o 

ifl 

<S  ft 

ii 

<H 

S| 

ii 

ii 

if 

|| 

r*  O 

§i 

Si 

it 

II 

£ 

ii 

II*    II* 

fatt 

n  n 

ii  n 

face 

-/ 

fa* 

fa* 

face 

0.3 

.05 

.08 

.11 

.13 

.14 

.16 

.17 

.19 

.20 

.21 

.22 

0.4 

.10 

.16 

.20 

.24 

.27 

.29 

.32 

.34 

.37 

.39 

.11 

0.6 

.15 

.23 

.29 

.34 

.38 

.41 

.45 

.48 

.52 

.55 

.68 

0.8 

.20 

.29 

.37 

.43 

.48 

.53 

.58 

.62 

.66 

.70 

.78 

1.0 

.24 

.35 

.44 

.51 

.58 

.64 

.69 

.74 

.79 

.83 

.88 

1.3 

.28 

.41 

.51 

.60 

.67 

.74 

.80 

.86 

.92 

.97 

1.02 

1.4 

.32 

.47 

.58 

.68 

.76 

.84 

.91 

.97 

1.03 

1.09 

1.15 

1.6 

.36 

.52 

.65 

.76 

.85 

.93 

1.01 

1.08 

1.15 

1.21 

1.27 

1.8 

.40 

.58 

.72 

.83 

.93 

1.02 

1.11 

1.19 

1.26 

1.33 

1.40 

2.0 

.44 

.63 

.78 

.90 

1.01 

1.11 

1.20 

1.29 

1.37 

1.44 

1.52 

2.2 

.47 

.68 

.84 

.97 

1.09 

1.20 

1.30 

1.39 

1.47 

1.55 

1.63 

2.4 

.51 

.73 

.90 

1.04 

1.17 

1.28 

1.39 

1.49 

1.57 

1.66 

1.74 

2.6 

.55 

.78 

.96 

1.11 

1.24 

1.36 

1.47 

1.58 

1.67 

1.76 

1.85 

2.8 

.59 

.83 

1.02 

1.18 

1.32 

1.44 

1.56 

1.67 

1.77 

1.86 

1.9ti 

3.0 

62 

.87 

1.07 

1.24 

1.39 

1.52 

1.64 

1.75 

1.86 

1.96 

2.0t> 

3.2 

.65 

.92 

1.13 

1.30 

1.45 

1.59 

1.72 

1.84 

1.95 

2.06 

2.16 

3.4 

.69 

.97 

1.18 

1.36 

1.52 

1.67 

1.80 

1.92 

2.04 

2.15 

2.2fi 

3.6 

.72 

1.01 

1.23 

1.42 

.59 

1.74 

1.88 

2.01 

2.13 

2.24 

2.35 

3.8 

.75 

1.05 

1.29 

1.48 

.66 

1.81 

1.96 

2.09 

2.22 

2.33 

2.45 

4.0 

.78 

1.09 

1.34 

1.54 

.72 

1.88 

2.03 

2.17 

2.30 

2.42 

2.54 

.4.2 

.81 

1.14 

1.39 

1.60 

.78 

1.95 

2.10 

2.25 

2.38 

2.51 

2.62 

4.4 

.84 

1.18 

1.44 

1.65 

.84 

2.02 

2.18 

2.33 

2.47 

2.60 

2.72 

4.6 

.87 

1.22 

1.48 

1.71 

.90 

2.08 

2.25 

2.40 

2.55 

2.C8 

2.81 

4.8 

.90 

1  26 

1.53 

1.77 

.96 

2.15 

2.32 

2.47 

2.62 

2.77 

2.90 

5.0 

.93 

1.30 

1.58 

1.82 

2.02 

2.21 

2.39 

2.54 

2.70 

2.86 

2.  OS 

5.2 

.96 

1.34 

1.63 

1.87 

2.08 

12.28 

2.46 

2.62 

2.78 

2.93 

3.07 

5.4 

.99 

1.38 

1.67 

1.92 

2.14 

2.34 

2.52 

2.69 

2.85 

3.01 

3.15 

5.6 

1.02 

1.42 

1.72 

1.97 

2.20 

2.40 

2.59 

2.76 

2.93 

3.08 

3.23 

5.8 

1.05 

1.46 

1.76 

2.02 

2.25 

2.46 

2.65 

2.83 

3.00 

3.16 

331 

6.0 

1.08 

1.49 

1.81 

2.07 

2.31 

2.52 

2.72 

2.90 

3.07 

3.24 

3.39 

6.2 

1.11 

1.53 

1.85 

2.12 

2.36 

2.58 

2.78 

2.97 

3.15 

3.31 

3.47 

6.4 

1.14 

1.57 

1.89 

2.17 

2.42 

2.64 

2.85 

3.04 

3.22 

3.39 

3.55 

6.6 

1.17 

1.60 

1.94 

2.22 

2.47 

2.70 

2.91 

3.10 

3.29 

3.46 

3.63 

6.8 

1.19 

1.64 

1.98 

2.27 

2.52 

2.76 

2.97 

3.17 

3.36 

3.53 

3.71 

7.0 

1.22 

1.67 

2.02 

2.31 

2.58 

2.82 

3.03 

3.23 

3.42 

3.60 

3.78 

7.5 

1.29 

1.76 

2.12 

2.43 

2.71 

2.97 

3.18 

3.39 

3.59 

3.78 

3.90 

8.0 

1.35 

1.84 

2  12 

2.54 

2.83 

3.10 

3.32 

3.54 

3.75 

3.95 

4.14 

8.5 

1.42 

1.93 

2.32 

2.65 

2.95 

3.22 

3.46 

3.70 

3.91 

4.12 

4.31 

9.0 

1.48 

2.01 

2.42 

2.76 

3.07 

3.35 

3.60 

3.84 

4.07 

4.28 

4.48 

9.5 

1.54 

2.09 

2.51 

2.87 

3.19 

3.47 

3.74 

3.99 

4.22 

4.-14 

10 

1.60 

2.17 

2.60 

2.97 

3.30 

3.60 

3.87 

4.13 

4.37 

4.60 

4.81 

11 

1.73 

2.32 

2.78 

3.17 

3.52 

3.84 

4.13 

4.40 

4.66 

4.90 

5.13 

12 

1.84 

2.46 

2.95 

3.37 

3.73 

4.07 

4.38 

4.66 

4.93 

5.20 

5.43 

13 

1.96 

2.61 

3.12 

3.56 

3.94 

4.30 

4.61 

4.92 

5.20 

5.48 

5.73 

14 

2.07 

2.75 

3.28 

3.74 

4.14 

4.51 

4.85 

5.16 

5.46 

5.75 

6.01 

15 

2.17 

2.89 

3.44 

3.91 

4.33 

4.72 

5.07 

5.40 

5.71 

6.01 

6.:.M» 

16 

2.28 

3.02 

3.59 

4.08 

4.52 

4.92 

5.29 

5.63 

5.96 

6.27 

6."'V 

46 


HYDRAULIC   AND  EXCAVATION    TABLES. 


Table  11.— Velocity  of  water  in  feet  per  second,  based  onKutter's 

formula,  coefficient  of  roughness 

ii  =  .O;$."»  —  Continued. 


rtl  ^ 

11 

Si 

If 

II 

|1 

!l 

§| 

§1 

eg 
So 

e 

11 

sf 

|.    ** 

II  II 

II  if 

II      11 

","  I* 

II   H* 

II  if 

II  II 

II  II* 

II  II 

II  II 

II  II 

k 

face 

face 

face 

face 

face 

face 

face 

face 

face 

face 

0.3 

.23 

.24 

.25 

.26 

.27 

.28 

.29 

.30 

.32 

.34 

.37 

0.4 

.43 

.45 

.48 

.50 

.51 

.53 

.54 

.56 

.62 

.68 

0.6 

.60 

.63 

65 

.68 

.70 

.72 

.74 

.76 

.78 

.87 

.96 

0.8 

.76 

.80 

'.83 

.86 

.89 

.91 

.94 

.97 

.99 

1.11 

1.22 

1.0 

.92 

.96 

.99 

1.03 

1.06 

1.10 

1.13 

1.16 

1.19 

1.33 

1.46 

1.3 

1.06 

1.11 

1.15 

1.19 

1.23 

1.27 

1.31 

1.34 

1.38 

1.54 

1.69 

1.4 

1.20 

1.25 

1.30 

1.34 

1.39 

1.43 

1.48 

1.52 

1.56 

1.74 

1.91 

1.6 

1.33 

1.39 

1.44 

1.49 

1.54 

1.59 

1.64 

1.68 

1.73 

1.93 

2.12 

1.8 

1.46 

1.52 

1.58 

1.63 

1.69 

1.74 

1.79 

1.84 

1.89 

2.12 

2.32 

3.0 

1.58 

1.65 

1.71 

1.77 

1.83 

1.89 

1.94 

2.00 

2.05 

2.29 

2.51 

3.3 

1.70 

1.77 

1.84 

1.91 

1.97 

2.03 

2.09 

2.15 

2.20 

2.46 

2.70 

3.4 

1.82 

1.89 

1.97 

2.04 

2.10 

2.17 

2.23 

2.29 

2.35 

2.63 

2.88 

3.0 

1.93 

2.01 

2.09 

2.16 

2.23 

2.30 

2.37 

2.43 

2.50 

2.79 

3.06 

3.8 

2.04 

2.13 

2.21 

2.28 

2.36 

2.43 

2.50 

2.57 

2.64 

2.95 

3.23 

3.0 

2.15 

2.24 

2.32 

2.40 

2.48 

2.50 

2.63 

2.71 

2.78 

3.10 

3.40 

3.3 

2.25 

2.35 

2.44 

2.53 

2.60 

2.68 

2.76 

2.84 

2.91 

3.25 

3.57 

3.4 

2.36 

2.45 

2.55 

2.64 

2.72 

2.80 

2.89 

2.97 

3.04 

3.40 

3.73 

3.6 

2.46 

2.56 

2.65 

2.75 

2.84 

2.92 

3.01 

3.09 

3.17 

3.55 

3.88 

3.8 

2.56 

2.66 

2.76 

2.86 

2.95 

3.04 

3.13 

3.22 

3.30 

3.69 

4.04 

4.0 

2.65 

2.76 

2.87 

2.97 

3.0d 

3.16 

3.25 

3.34 

3.42 

3.82 

4.19 

4.3 

2.75 

2.86 

2.97 

3.07 

3.17 

3.27 

3.36 

3.45 

3.54 

3.96 

4.34 

4.4 

2.84 

2.96 

3.07 

3.18 

3.28 

3.38 

3.48 

3.57 

3.66 

4.10 

4  4*9 

4.6 

2.93 

3.05 

3.17 

3.28 

3.38 

3.49 

3.59 

3.69 

3.78 

4.23 

4.'63 

4.8 

3.02 

3.15 

3.27 

3.38 

3.49 

3.60 

3.70 

3.80 

3.90 

4.36 

4.77 

5.0 

3.11 

3.24 

3.36 

3.48 

3.59 

3.70 

3.81 

3.91 

4.01 

4.48 

4.91 

5.3 

3.20 

3.33 

3.46 

3.58 

3.69 

3.80 

3.91 

4.02 

4.12 

4.61 

5.04 

5.4 

3.29 

3.42 

3.55 

3.67 

3.79 

3.91 

4.02 

4.13 

4.23 

4.73 

5.18 

5.6 

3.37 

3.51 

3.64 

3.77 

3.89 

4.01 

4.12 

4.23 

4.34 

4.85 

6.31 

5.8 

3.45 

3.60 

3.73 

3.86 

3.99 

4.11 

4.23 

4.34 

4.45 

4.97 

5.44 

6.0 

3.54 

3.68 

3.82 

3.95 

4.08 

4.20 

4.33 

4.44 

4.56 

5.09 

6.67 

6.3 

3.62 

3.77 

3.91 

4.04 

4.17 

4.30 

4.43 

4.54 

4.66 

5.21 

5.70 

6.4 

3.70 

3.85 

4.00 

4.13 

4.27 

4.40 

4.53 

4.65 

4.77 

5.32 

5.83 

6.6 

3.78 

3.94 

4.08 

4.22 

4.36 

4.49 

4.62 

4.75 

4.87 

5.44 

5.95 

6.8 

3.86 

4.02 

4.17 

4.31 

4.45 

4.59 

4.72 

4.84 

4.97 

5.55 

6.07 

7.0 

3.94 

4.10 

4.25 

4.40 

4.54 

4.68 

4.81 

4.94 

5.07 

5.66 

6.19 

7.5 

4.13 

4.30 

4.48 

4.61 

4.76 

4.90 

5.04 

5.18 

5.31 

5.93 

6.49 

8.0 

4.32 

4.49 

4.66 

4.82 

4.97 

5.12 

5.27 

5.41 

5.55 

620 

6.78 

8.5 

4.50 

4.68 

4.85 

5.02 

5.18 

5.34 

5.49 

5.64 

5.78 

6.46 

7.06 

9.0 

4.68 

4.86 

5.04 

5.22 

5.38 

5.55 

5.70 

5.86 

6.01 

6.71 

734 

9.5 

4.85 

5.04 

5.23 

5.41 

5.58 

5.75 

5.92 

6.08 

6.23 

6.96 

7.61 

10 

5.02 

5.22 

5.41 

5.60 

5.78 

5.95 

6.12 

6.29 

6.45 

7.20 

7.87 

11          5.35 

5.56 

5.77 

5.96 

6.16 

6.34 

6.52 

6.70 

6.87 

7.66 

8.38 

13 

5.67 

5.89 

6.11 

6.32 

6.52 

6.71 

6.91 

7.09 

7.27 

8.11 

8.89 

13 

5.97 

6.21 

6.44 

6.66 

6.87 

7.08 

7.28 

7.47 

7.66 

8.55 

9.37 

14 

6.27 

6.52 

6.76 

6.99 

7.21 

7.42 

7.63 

7.84 

8.04 

8.97 

9.82 

15 

6.56 

6.82 

7.06 

7.30 

7.54 

7.76 

7.98 

8.20 

8.40 

9.37 

10.3 

16 

6.84 

7.11 

7.36 

7.61 

7.86 

8.09 

8.32 

8.54 

8.76 

9.77 

10.7 

HYDBAULIC   AND  EXCAVATION    TABLES.  47 

Table  \*L .-Velocity  of  water  in  feet  per  second,  based  onKutter's. 

formula,  coefficient  of  roughness 

n  =.O35  —  Continued. 


g£  „§ 

*\\  21 
I      11 

if 

~i. 

3W 
»s2 
^  . 

fe/2 

N 

T**¥ 

?il 

.  a 

?! 

&.-/. 

If 

(*« 

?Sao 

« 

II   II 

ton 

So 
« 

fe« 

0.3            .40 

.43 

.53 

.62 

.69 

.76 

.88             .98 

0.4            .74 

.79 

.97 

1.13 

1.26 

1.38 

1.60           1.79 

0.6          1.04 

1.12 

1.37 

1.58 

1.77 

1.94 

2.24 

2.51 

0.8          1.32 

,  1.41 

1.73 

2.00 

2.24 

2.46 

2.84 

3.17 

1.0          1.58 

1.69 

2.08 

2.40 

2.68 

2.94 

3.40 

3.80 

1.2         1.83 

1.96 

2.40 

2.77 

3.10 

3.40 

3.92 

4.39 

1.4          2.06 

2.21 

2.71 

3.13 

3.50 

3.83 

4.43 

4.95 

1.6          2.29 

2.45 

3.00 

3.47 

3.88 

4.25 

4.91 

5.49 

1.8          2.51 

2.68 

3.28 

3.79 

4.24 

4.65 

5.37 

6.00 

3.0         2.72 

2.90 

3.56 

4.11 

4.60 

5.04 

5.82 

6.50 

3.2         2.92 

3.12 

3.82 

4.42 

4.94 

5.41 

6.25 

6.98 

3.4         3.12 

3.33 

4.08 

4.71 

5.27 

5.77 

6.67 

7.45 

3.6         3.31 

3.53 

4.33 

5.00 

5.59 

6.12 

7.07 

7.91 

3.8         3.49 

3.73 

4.57 

5.28 

5.91 

6.46 

7.47 

8.35 

3.0         3.67 

3.93 

4.81 

5.55 

6.21 

6.80 

7.86 

8.78 

3.2         3.85 

4.12 

5.04 

5.82 

6.51 

7.13 

8.23 

9.21 

3.4         4.02 

4.30 

5.27 

6.08 

6.80 

7.45 

8.60 

9.62 

3.6          4.19 

4.48 

5.49 

6.34 

7.09 

7.76 

8.96 

10.0 

3.8         4.36 

4.66 

5.71 

6.59 

7.37 

8.07 

9.32 

10.4 

4.0         4.52 

4.84 

5.92 

6.84 

7.64 

8.37 

9.67 

10.8 

4.2 

4.68 

5.01 

6.13 

7.08 

7.91 

8.67 

10.0 

11.2 

4.4 

4.84 

5.18 

6.34 

7.32 

8.18 

8.96 

10.4 

11.6 

4.6 

5.00 

5.34 

6.54 

7.55 

8.44 

9.24 

10.7 

11.9 

4.8 

5.15 

5.50 

6.74 

7.78 

8.70 

9.52 

11.0 

12.3 

5.0 

5.30 

5.66 

6.93 

8.00 

8.95 

9.80 

11.3 

12.6 

5.2 

5.45 

5.82 

7.12 

8.22 

9.19 

10.1 

11.6 

13.0 

5.4 

5.60 

5.98 

7.31 

8.44 

9.44 

10.4 

11.9 

13.3 

5.6 

5.74 

6.13 

7.50 

8.66 

9.68 

10.6 

12.2 

13.7 

5.8 

5.88 

6.28 

7.69 

8.87 

9.92 

10.9 

12.5 

14.0 

6.0 

6.02 

6.43 

7.87 

9.08 

10.2 

11.1 

12.8 

14.4 

6.3 

6.15 

6.58 

8.05 

9.29 

10.4 

11.4 

13.1 

14.7 

6.4 

6.29 

6.72 

8.23 

9.49 

10.6 

11.6 

13.4 

15.0 

6.G 

6.42 

6.86 

8.40 

9.69 

10.8 

11.9 

13.7 

15.3 

6.8 

6.56 

7.00 

8.57 

9.89 

11.1 

12.1 

14.0 

15.6 

7.0 

6.69 

7.15 

8.74 

10.1 

11.3 

12.4 

14.3 

15.9 

7.5 

7.01 

7.49 

9.16 

10.6 

11.8 

13.0 

15.0 

16.7 

8.0 

7.32 

7.82 

9.57 

11.0 

12.3 

13.5 

15.6 

17.4 

8.5 

7.62 

8.15 

9.96 

11.5 

12.9 

14.1 

16.3 

18.2 

9.0 

7.92 

8.47 

10.4 

12.0 

13.4 

14.6 

16.9 

18.9 

9.5 

8.21 

8^.78 

10.8 

12.4 

13.9 

15.2 

17.5 

19.6 

10 

8.50 

9.08 

11.1 

12.8 

14.3 

15.7 

18.1 

20.2 

11 

9.05 

9.67 

11.8 

13.6 

15.2 

16.7 

19.3 

21.5 

13 

9.58 

10.3 

12.5 

14.4 

16.1 

17.7 

20.4 

22.8 

13 

10.1 

10.8 

13.2 

15.2 

17.0 

18.6 

21.5 

24.0 

14 

10.6 

11.3 

13.8 

15.9 

17.8 

19.5 

22.5 

25.2 

15 

11.1 

11.8 

14.4 

16.7 

18.6 

20.4 

23.5 

26.3 

16 

11.5 

12.3 

15.1 

17.4 

19.4 

21.2 

24.5 

27.4 

48 


HYDRAULIC   AND  EXCAVATION    TABLES. 


Table  12, — Area,  wetted  perimeter  and  hydraulic  radius  of  partially 
filled  horseshoe  arid  circular  conduit  sections. 


O.I77R 


Horseshoe  sections 


Circular  sections 


depth 
R 

area 
R2 

wet.  per. 
R 

hyd.  rad. 
R 

depth 
R 

area 

R2 

wet.  per. 
R 

hyd.  rad. 
R 

0.1 

0.  0887 

1.  2702 

0.0066 

0.177 

0.  1981 

1.6962 

0.1156 

0.1 

0.  0587 

0.9020 

0.  06.01 

O.3 

0.2340 

1.  7462 

0.1340 

0.3 

0.1635 

1.  2870 

0.  1271  » 

0.3 

0.4050 

1.9620 

0.2064 

O.3 

0.  2955 

1.5908 

0.  185N 

O.4 

0.  5828 

2.  1736 

0.  2681 

0.4 

0.  4473 

1.8546 

0.  241:; 

0.5 

0.  7656 

2.  3816 

0.3230 

0.5 

0.  6142 

2.0944 

0.2930 

O.6 

0.  9573 

2.5869 

0.3700 

0.6 

0.7927 

2.  3186 

a  34  if* 

0.7 

1.  1510 

2.  7900 

0.  4126 

0.7 

0.9799 

2.  .5322 

0.3X7(1 

0.8 

1.  3478 

2.9916 

0.4505 

O.8 

1.1735 

2.  73S9 

0.  428r, 

0.9 

1.  5467 

3.  1922 

0.  4845 

0.9 

1.  3711 

2.9412 

0.4662 

1.0 

1.7465 

3.3923 

0.5148 

1.0 

1.  5708 

3.  1416 

0.  5000 

1.1 

1.  9462 

3.  5926 

0.  5417 

1.1 

1.  7705 

3.  3419 

a  5298 

1.2 

2.  1438 

3.  7949 

0.  .->G49 

1.2 

1.9081 

3.5443 

O.&.Vv'. 

1.3 

2.3374 

4.  0017 

0.5841 

1.3 

2.  1617 

3.  7510 

0.  576:> 

1.4 

2.  5246 

4.  2153 

0.  5989 

1.4 

2.  3489 

3.9646 

0.  592.r, 

1.5 

2.  7031 

4.  4395 

0.6089 

1.5 

2.  5274 

4.1888 

0.6034 

1.6 

2.8700 

4.  6793 

0.  6134 

1.6 

2.  6943 

4.4286 

0.6084 

1.7 

3.  0218 

4.9431 

0.6113 

1.7 

2.  8461 

4.  6924 

0.606f. 

1.8 

3.1538 

5.2469 

0.  6011 

1.8 

2.  9781 

4.9962 

0.  59G1 

1.9 

3.2586 

5.6318 

0.  5786 

1.9 

3.0S29 

5.  3811 

0.  5729 

2.0 

3.3173 

6.5339 

0.5077 

2.O 

3.  1416 

6.2832 

0.5000 

HYDRAULIC    AND   EXCAVATION    TABLES. 


49 


Tat>lo   13. — Area  in  square  feet,  A,  and  hydraulic  radius  in  feet,  r. 
of  semicircular  flumes  for  various  values  of  freeboard  in  feet,  F. 


1 

F-O.O            F-O.l 

F=O.2 

F=0.3            F=O.4 

Diame- 

s 

ter  in 

feet 

A 

r          A 

r 

A 

r 

A 

r 

A 

r 

24 

1.273 

0.64 

0.32 

0.51 

0.28 

0.39 

0.24 

0.27 

0.20 

33 

1.592 

1.00 

0.40 

0.84 

0.36 

0.68 

0.32 

0.53 

0.28 

0.38 

0.23 

36 

1.910 

1.43 

0.48 

1.24 

0.44 

1.05 

0.41 

0.87 

0.36 

0.69 

0.32 

42 

2.228 

1.95 

0.55 

1.72 

0.53 

1.50 

0.48 

1.29 

0.45 

1.08 

0.40 

48 

2.546 

2:55 

0.64 

2.29 

0.60 

2.04 

0.57 

1.79 

0.53 

1.54 

0.49 

60 

3.183 

3.98 

0.80 

3.66 

0.76 

3.34 

0.73 

3.03 

0.69 

2.72 

0.65 

72 

3.820 

5.73 

0.96 

5.35 

0.92 

4.97 

0.89 

4.59 

0.85 

4.21 

0.  81 

84 

4.456 

7.80 

1.11 

7.35 

1.08 

6.91 

1.05 

6.47 

1.01 

6.C3 

0.9* 

96 

5.093 

10.2 

1.27 

9.68 

1.24 

9.17 

1.21 

8.66 

1.17 

8.16 

1.13 

1O8 

6.  730 

12.9 

1.43 

12.3 

1.40 

11.8 

1.29 

11.2       1.33 

10.6 

1.  2:1 

120 

6.366 

15.9 

1.59 

15.3 

1.56 

14.6 

1.53 

14.0    !  1.49 

13.4 

1.45 

132 

7.003 

19.3 

1.75 

18.6 

1.72 

17.9 

1.69 

17.2 

1.65 

16.5 

1.61 

144 

7.639 

22.9 

1.91 

22.2 

1.88 

21.4 

1.84 

20.6 

1.81 

19.9 

1.77 

156 

8.276 

26.9 

2.07 

26.1 

2.04 

25.2 

2.00 

24.4 

1.97 

23.6 

1.93 

168 

8.913 

31.2 

2.23 

30.3 

2.18 

29.4 

2.16 

28.5 

2.13 

27.6 

2.09 

180 

9.549 

35.  8 

2.39 

34.9 

2.35 

33.9 

2.32 

32.9 

2.29 

32.0 

2.  2.1 

193 

10.  186 

40.7 

2.54 

39.7 

2.51 

38.7 

2.48 

37.7 

2.45 

36.7 

2.42 

204 

10.  823 

46.0 

2.70 

44.9 

2.68 

43.8 

2.64 

42.  8    !  2.  61 

41.7 

2.57 

216 

11.  459 

51.6 

2.86 

50.4 

2.81 

49.3 

2.80 

48.1 

2.76 

47.0 

2.73 

228 

12.  096 

57.5 

3.02 

50.2 

2.99 

55.0 

2.96 

53.8 

2.  £3 

52.6 

2.89 

240 

12.  732 

63.7 

3.18 

62.4 

3.15 

61.1 

3.12 

59.8 

3.08 

58.  6 

3.05 

252 

13.  369 

70.2 

3.34 

68.9 

3.31 

67.5 

3.26 

66.2 

3.24 

64.8 

3.21 

| 

F-0.5 

F=0.6 

F=0.7 

F-O.8 

F=0.0 

Diame- 

s 

ter  in 
feet 

A 

r 

A 

r 

A 

r 

A 

r 

A 

i 

30 

1.592 

0.25 

0.18 

36 

1.910 

0.52 

0.27 

42 

2.228 

0.87 

0.36 

0.68 

6.31 

48 

2.546 

1.31 

0.44 

1.08 

0.39 

0.85 

0.34 

60 

3.183 

2.41 

0.61 

2.11 

0.56 

1.  82 

0.51 

1.54 

0.46 

72 

3.820 

3.84 

0.77 

3.  48 

0.73 

3.12 

0.68 

2.76 

0.64 

2.42 

0.59 

84 

4.456 

5.59 

0.93 

5.16 

0.89 

4.73 

0.85 

4.31 

0.80 

3.90 

0.  76 

96 

5.093 

7.66 

1.09 

7.16 

1.06 

6.67 

1.01 

6.18 

0.97 

5.70 

0.93 

108 

5.730 

10.0 

1.26 

9.48 

1.22 

8.92 

1.18 

8.37 

.14 

7.82 

1.09 

120 

6.366 

12.7 

1.42 

12.1 

1.38 

11.5 

1.34 

10.9 

.30 

10.3 

1.25 

132 

7.003 

15.8 

1.58 

15.1 

1.54 

14.4 

1.50 

13.7 

.46 

13.0 

1.42 

144 

7.639 

19.1 

1.74 

18.4 

1.70 

17.6 

1.66 

16.9 

.62 

16.1 

1.58 

156 

8.276 

22.8 

1.90 

21.9 

1.86 

21.1 

1.82 

20.3 

.79 

19.5 

1.74 

168 

8.913 

26.7 

2.06 

25.9 

2.02 

25.0 

1.98 

24.1 

.95 

23.2 

1.91 

180 

9.549 

31.0 

2.22 

30.1 

2.18 

29.1 

2.14 

28.2 

2.11 

27.3 

2.07 

192 

10.  186 

35.7 

2.38 

34.6 

2.34 

33.6 

2.31 

32.6 

2.27 

31.6 

2.23 

204 

10.823 

40.6 

2.54 

39.5 

2.50 

38.4 

2.46 

37.4 

2.43 

36.3 

2.39 

216 

11.  459 

45.8 

2.70 

44.7 

2.66 

43.6 

2.62 

42.4 

2  59 

41.3 

2.55 

228 

12.096 

51.4 

2.86 

50.2 

2.82 

49.0 

2.78 

47.8 

2.75 

46.6 

2.71 

240 

12.  732 

57.3 

3.01 

56.0 

2.98 

54.8 

2.94 

53.5 

2.  SI 

52.2 

2.87 

252 

13.  369 

63.5 

3.18 

62.2 

3.14 

60.8 

3.10 

59.4 

3.07 

58.2 

3.03 

G202°— 17- 


50 


HYDRAULIC    AND    EXCAVATION    TABLES. 


Tal)le  13. — Area  in  square  feet,  A,  and  hydraulic  radius  in  feet,  r, 
semicircular  flumes  for  "various  value*  of  freeboard  in  feet,  F — Con. 


g 

Diam- 

F-1.0 

F-1.1 

F-1.2    !     F-1.3 

r    1.1 

F.-1.S 

tt 

ter 

1 

in 

I 

i 

i 

i 

feet 

A 

r 

A 

r 

A 

r 

A 

f 

A 

T 

A 

f 

72 

3  820 

9  ns 

0  54 

84 

4  456     3  49 

0  71 

3  16 

0  66 

2  71 

0  61 

90 

6.  093i    5.  22 

0.88 

4.76 

0.83 

4.30 

6,78 

3.85 

.1  73 

3.41 

o.«w 

108 

6.730;    7.28 

1.05 

6.74 

1.  00     6.  22 

0.% 

.170 

0.91 

5.19 

0.86 

4.690.81 

130 

6.366!    9.65 

1.21 

9.05 

1.16 

8.46 

1.12 

7.87 

.08 

7.29 

1.03 

6.  72  0.  98 

132 

7.003!  12.4 

1.38 

11.7 

Las 

11.0 

1.29 

10.4 

.24 

9.72 

1.20 

9.07 

1.15 

144 

7.639   15.4 

1.54 

14.6 

1.50 

13.9 

1.46 

13.2 

.41 

12.5 

1.37 

11.8 

1.32 

156 

8.  276   18.  7 

1.70 

17.9 

1.66|  17.1 

1.62 

16.3 

.  fix 

15.5 

1.53 

14.8 

1.49 

Ifi8 

8.  913!  22.  4 

1.87 

21.5 

1.  821  20.  6 

1.78 

19.8 

.74 

18.9 

1.70 

18.1 

1.65 

180 

9.549 

26.3 

2.03 

25.4 

1.98 

24.5 

1.95 

23.5 

1.90 

22.6 

1.86 

21.7 

1.K2 

192 

10.  186 

30.6 

2.19 

29.6 

2.15 

28.6 

2.11 

27.6 

2.07 

26.7 

2.0? 

25.7 

1.9* 

204 

10.  823 

35.2 

2.  35 

34.2 

2.31  33.1 

2.27 

32.1 

2.?? 

31.0 

2.19 

30.0 

2.14 

016 

11.  459 

40.2 

2.51 

39.0 

2.  47i  37.  9 

2.43 

36.8 

2.39 

35.7 

2.35 

34.6 

2.31 

828 

12.096 

45.4 

2.67 

44.2 

2.64 

43.0 

2.60 

41.9 

2.56  40.7 

2.52 

39.  5 

2.47 

240 

12.  732 

61.0 

2.83 

49.7 

2.80 

48.5 

2.76 

47.2 

2.  721  46.  0 

2.68 

44.7 

2.63 

252 

13.369 

56.9 

2.99 

55.5 

2.96 

84.2 

2.  92  52.  9 

2.  88J  51.  6 

2.84 

50.3 

X. 

Table  ~L4*-Area  in  square  feet,  A,  and  hydraulic  radius  in  feet,  f, 
of  rectangular  channels. 


Bottom 

Bottom 

Bottom 

Bottom 

Bottom 

Bottom 

width 

width 

width 

width 

width 

width 

4  feet 

6  feet 

8  feet 

10  feet 

12  feet 

14  feet 

J£ 

B  1, 

|  S, 

sk 

i!H 

g!* 

s't 

& 

A 

'« 

A 

SJl 

A 

cS   aj 
£ 

A 

sil 

A 

i1 

A 

7s 

I 

y 

K 

V. 

V 

t» 

EL 

i.o 

4 

.67 

6 

.75 

8 

.80 

10 

.83 

12 

.86 

14 

.88 

1.5 

6 

.86 

9 

1.00 

12 

1.09 

15 

1.15 

18 

1.20 

21 

1.24 

2.0 

g 

.00 

12 

1.20 

16 

1.33 

20 

1.43 

24 

1.50 

28 

1.56 

2.5 

10 

.11 

15 

1.36 

20 

1.54 

25 

1.67 

30 

1.76 

35 

1.84 

3.0 

12 

.20 

18 

1.50 

24 

1.71 

30 

1.88 

36 

2.00 

42 

2.10 

3.5 

14 

.27 

21 

1.62 

28 

1.87 

35 

2.06 

42 

2.21 

49 

2.33 

4.0 

16 

.33 

24 

1.71 

32 

2.00 

40 

2.22 

48 

2.40 

56 

2.55 

4.5 

18 

.38 

27 

1.80 

36 

2.12 

45 

2.37 

54 

2.57 

63 

2.74 

5.0 

20 

.43 

30 

1.88 

40 

2.22 

50 

2.50 

60 

2.73 

70 

2.92 

5.5 

22 

1.47 

33 

1.94 

44 

2.32 

55 

2.62 

C6 

2.88 

77 

3.08 

6.0 

24 

1.50 

36 

2.00 

48 

2.40 

60 

2.73 

72 

3.00 

?4 

3.23 

6.5 

26 

1.53 

39 

2.05 

52 

2.48 

65 

2.83 

78 

3.12 

91 

3.37 

7.0 

28 

1.56 

42 

2.10 

56 

2.55 

70 

2.92 

84 

3.23 

98 

3.50 

7.5 

30 

1.58 

45 

2.14 

60 

2.61 

75 

3.00 

90 

3.33 

105 

3.62 

8.0 

32 

1.CO 

48 

2.18 

64 

2.67 

80 

3.08 

96 

3.43 

112 

3.73 

8.5 

34 

1.62 

51 

2.22 

68 

2.72 

85 

3.15 

102 

3.52 

119 

3.84 

9.0 

36 

1.64 

64 

2.25 

72 

2.77 

90 

3.21 

108 

3.60 

126 

3.94 

9.5 

38 

1.65 

57 

2.28 

76 

2.82 

95 

3.28 

114 

3.68 

133 

4.03 

10.0 

40 

1.G7 

60 

2.31 

80 

2.86 

100 

3.33 

120 

3.75 

140 

4.12 

HYDRAULIC    AND    EXCAVATION    TABLES. 


51 


Table  14. — Area  in  square  feet,  A,  and  hydraulic  radius  in  feet ,  r, 
of  rectangular  channels-^Contirmed. 


Bottom 

Bottom 

Bottom 

Bottom 

Bottom 

Bottom 

width 

width 

width 

width 

width 

width 

15 

16  feet 

18  feet 

20  feet 

25  feet 

30  feet 

40  feet 

a 

A 

8  I 

gjjj 

ti 

«  i 

g|£ 

Vi 

1 

A 

1 

K 

A 

T1 

A 

V 

A 

3  % 

V. 

A 

V 

A 

C 

cJ   "£J 

1.0 

16 

.89 

18 

.90 

20 

.91 

25 

.93 

30 

.94 

40 

.95 

1.5 

24 

1.26 

27 

1.29 

30 

1.30 

38 

1.34 

45 

1.36 

60 

1.40 

2.0 

32 

1.60 

36 

1.64 

40 

1.67 

50 

1.72 

60 

1.77 

80 

1.82 

2.5 

40 

1.90 

45 

1.95 

60 

2.00 

63 

2.08 

75 

2.14 

100 

2.22 

3,0 

48 

2.18 

54 

2.25 

60 

2.31 

75 

2.42 

90 

2.50 

120 

2.61 

3.5 

56 

2.35 

63 

2.52 

70 

2.59 

88 

2.73 

105 

2.84 

140 

2.98 

4.0 

64 

2.67 

72 

2.77 

80 

2.86 

100 

3.03 

120 

3.16 

160 

3.33 

4.5 

5.0 

72 
80 

2.88 
3.08 

81 
90 

3.00 
3.21 

90 
100 

3.10 
3.33 

112 
125 

3.31 
3.57 

135 
150 

3.46 
3.75 

180 
200 

i£ 

5.5 

88 

3.26 

99 

3.42 

110 

3.55 

138 

3.82 

165 

4.03 

220 

4.3l 

6.0 

96 

3.43 

108 

3.60 

120 

3.75 

180 

4.05 

180 

4.29 

240 

4.61 

0.5 

104 

3.59 

117 

3.78 

130 

3.94 

162 

4.27 

195 

4.54 

200 

4.9.1 

7.0 

112 

3.73 

126 

3.94 

140 

4.12 

175 

4.48 

210 

4.77 

28Q 

5.18 

7.5 

120 

3.87 

135 

4.09 

150 

4.29 

188 

4.69 

225 

5.00 

300 

5.46 

3.0 

128 

4.00 

144 

4.24 

160 

4.44 

200 

4.88 

240 

5.22 

320 

5.71 

8.5 

136 

4.12 

153 

4.37 

170 

4.59 

212 

5.06 

255 

5.43 

340 

5.96 

9.0 

144 

4.24 

162 

4.50 

180 

4.74 

225 

5.23 

270 

5.63 

360 

6.21 

9.5 

152 

4.34 

171 

4.62 

190 

4.87 

238 

5.40 

285 

5.82 

380 

6.44 

10.0 

160 

4.44 

180 

4.74 

200 

5.00 

250 

5.56 

300 

6.00 

400 

6.67 

6 

Bottom 

Bottom 

Bottom 

Bottom 

Bottom 

Bottom 

width 

width 

width 

width 

width 

width 

50  feet 

60  feet 

70  feet 

80  feet 

90  feet 

lOO  feet 

A 

gfc 

ti 

g|j 

§1 

8  i 

rt|fc 

1. 

A 

3  t) 
p 

n 

A 

*% 

A 

r 

A 

«  t> 

A 

\l 

A 

S|{ 

K 

t. 

v. 

£ 

.  >v. 

1.0 

60 

.96 

60 

.97 

70 

.97 

80 

.98 

90 

.98 

100 

,98 

1.5 

75 

1.42 

90 

1.43 

105 

1.44 

120 

1.45 

136 

1.45 

150 

1.46 

2.0 

100 

1.85 

120 

1.88 

140 

1.89 

160 

1.91 

180 

1.92 

200 

1.92 

2.5 

125 

2.27 

150 

2.31 

175 

2.33 

200 

2.35 

225 

2.37 

250 

2.38 

3.0 

150 

2.68 

180 

2.73 

210 

2.76 

240 

2.79 

270 

2.81 

300 

2.83 

3.5 

175 

3.07 

210 

3.13 

245 

3.18 

280 

3.22 

315 

3.25 

350 

3.27 

4  0 

200 

3.45 

240 

3.53 

280 

3.59 

320 

3.64 

360 

3.67 

400 

3.70 

4.5 

225 

3.81 

270 

3.91 

315 

3.99 

360 

4.04 

405 

4.09 

450 

4.13 

5.0 

250 

4.17 

300 

4.29 

350 

4.38 

400 

4.44 

450 

4.50 

500 

4.55 

5.5 

275 

4.51 

330 

4.65 

385 

4.75 

440 

4.83 

495 

4.90 

650 

4.95 

6.0 

300 

4.84 

360 

5.00 

420 

5.12 

480 

5.22 

640 

5.29 

600 

5.S6 

6.5 

325 

5.16 

390 

5.34 

455 

5.48 

520 

5.50 

585 

5.6S 

650 

5.75 

7.0 

350 

5.47 

420 

5.68 

490 

5.83 

560 

5.96 

630 

6.06 

700 

6.14 

7.5 

375 

6.77 

450 

6.00 

525 

6.18 

600 

6.32 

676 

0.43 

750 

6.52 

8.0 

400 

6.06 

480 

6.32 

560 

G.51 

640 

6.67 

720 

6.79 

800 

6.90 

8.5 

425 

6.34 

510 

6.02 

595 

6.84 

680 

7.01 

765 

7.15 

850 

7.26 

9.0 

450 

6.62 

540 

6.92 

630 

7.16 

720 

7.35 

810 

7.50 

900 

7.63 

9.5 

476 

6.88 

570 

7.22 

665 

7.47 

760 

7.68 

855 

7.84 

950 

7.98 

10.0 

500 

7.14 

600 

7.50 

700 

7.78 

800 

8.00 

900 

8.18 

1000 

8.33 

52  HYDRAULIC   AND  EXCAVATION   TABLES. 

Table  15. — Area  in  square  feet.  A,  top  width  in  feet \  Tt  and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

side  slopes  K  to  1. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

2  feet 

3  feet 

4  feet 

5  feet 

1 

T 

A 

i? 

5     * 

s  i 

T 

A 

area 
wet  per. 

T 

A 

area 
wet  per. 

T 

A 

area 
wet  per. 

K 

ii 

V. 

ii 
k 

ii 

k. 

O.4 

2.4 

0.88 

.80 

8.4 

1.28 

.33 

4.4 

1.68 

.34 

5.4 

2.08 

.35 

0.6 

2.6 

1.38 

.41 

3.6 

1.98 

.46 

46 

2.58 

.48 

5.6 

318 

.50 

0.8 

2.8 

1.92 

.51 

8.8 

2.72 

.57 

4.8 

8.52 

.61 

6.8 

4.32 

.64 

1.0 

8.0 

2.50 

.59 

4.0 

3.50 

.67 

5.0 

4.50 

.72 

6.0 

5.50 

.76 

1.3 

82 

3.12 

.67 

4.2 

4.32 

.76 

5.2 

5.52 

.83 

6.2 

6.72 

.87 

1.4 

8.4 

3.78 

.74 

4.4 

5.18 

.85 

5.4 

6.58 

.92 

6.4 

7.98 

.98 

1.6 

3.6 

4.48 

.80 

4.6 

6.08 

.92 

56 

7.68 

1.01 

6.6 

9.28 

1.08 

1.8 

8.8 

5.22 

.87 

4.8 

7.02 

1.00 

5.8 

8.82 

1.10 

6.8 

10.62 

1.17 

8.0 

4.0 

6.00 

.93 

5.0 

8.00 

1.07 

60 

10.00 

1.18 

7.0 

1200 

1.27 

2.3 

4.2 

6.82 

.99 

6.2 

902 

1.14 

6.2 

11.22 

1.25 

7.2 

1342 

1.35 

3.4 

4.4 

7.68 

104 

6.4 

10.08 

121 

6.4 

12.48 

133 

7.4 

1488 

1.44 

3.6 

4.6 

8.58 

1.10 

5.6 

11.18 

1.27 

66 

13.78 

1.41 

7.6 

1638 

1  52 

3.8 

4.8 

9.52 

1.15 

5.8 

12.32 

1.33 

6.8 

15.12 

1.47 

7.8 

17.92 

1.59 

8.0 

5.0 

10.50 

1.21 

6.0 

13.50 

1.39 

7.0 

16.50 

1.54 

80 

1950 

167 

3.3 

6.2 

11.52 

1.26 

6.2 

1472 

1.45 

72 

1792 

1.60 

82 

2112 

1.74 

8.4 

5.4 

12.58 

1.31 

6.4 

1598 

1.51 

74 

1938!  1.67 

8.4 

22  78 

1.81 

.3.6 

5.6 

13.08 

136 

66 

17.28 

1.57 

76 

2088 

173 

86 

2448 

1.88 

3.8 

5.8 

14.82 

1.41 

6.8 

18.62 

1.62 

7.8 

22.42 

1.79 

8.8 

26.22 

1.94 

4.0 

6.0 

16.00 

146 

7.0 

20.00 

1.67 

80 

24.00 

1.85 

9.0 

2800 

201 

4.3 

6.2 

17.22 

1.51 

7.2 

21.42 

1.73 

82 

25.62 

1.91 

9.2 

2982 

2.07, 

4.4 

6.4 

1848 

156 

7.4 

2288 

178 

8.4 

27.28 

197 

9.4 

31.68 

2.14 

4.6 

66 

19.78 

1.61 

7.6 

2438 

1.84 

86 

28.98 

203 

9.6 

3358 

220 

4.8 

6.8 

21.12 

1.66 

7.8 

25.92 

1.89 

8.8 

30.72 

2.08 

9.8 

35.52 

2.26 

5.0 

7.0 

22.50 

1.71 

8.0 

27.50 

1.94 

90 

32.50 

2.14 

100 

3750 

232 

5.3 

7.2 

2392 

1.75 

8.2 

29.12 

199 

92 

3432 

219 

102 

8952 

238 

5.4 

7.4 

2538 

180 

8.4 

30.78 

2.04 

9.4 

3618 

225 

10.4 

4158 

2.43 

5.6 

7.6 

2688 

185 

8.6 

3248 

2.09 

96 

3808 

2.30 

106 

43.C8 

2.49 

5.8 

7.8 

28.42 

1.90 

8.8 

34.22 

2.14 

9.8 

40.02 

2.36 

10.8 

45.82 

2.55 

6.0 

8.0 

30.00 

195 

9.0 

36.00 

2.19 

100 

42.00 

2.41 

11.0 

4800 

261 

6.3 

8.2 

31.62 

199 

9.2 

37.82 

2.24 

102 

4402 

2.46 

11.2 

5022 

2.66 

6.4 

8.4 

33.28 

204 

9.4 

39.68 

229 

10.4 

4608 

2.52 

11.4 

5248 

272 

6.6 

8.6 

34.98 

209 

9.6 

41.58 

234 

10.6 

4818 

2.57 

11.6 

54.78 

2.77 

6.8 

8.8 

36.72 

2.13 

9.8 

43.52 

2.39 

10.8 

50.32 

2.62 

11.8 

57.12 

2.82 

7.O 

10.0 

45.50 

2.44 

11.0 

52.50 

267 

12.0 

59.50 

2.88 

7.5 

10.5 

50.62 

2.56 

11.5 

58.12 

2.80 

12.5 

65.62 

3.01 

8.O 

11.0 

56.00 

268 

12.0 

64.00 

292 

13.0 

72.00 

3.15 

8.5 







11.5 

61.62 

2.80 

12.5 

70.12 

3.05 

13.5 

78.62 

3.27 

9.0 

12 

67.5 

2.92 

13.0 

7650 

3.17 

140 

85.50 

3.40 

9.5 

13.5 

83.12 

3.29 

14.5 

92.62 

8.53 

1O 

14 

900 

341 

15 

1000 

365 

11 



15 

104.5 

3.65 

16 

115.5 

3.90 

HYDKAULIC   AND   EXCAVATION    TABLES. 


53 


Table  15. — Area  in  square  feet ',  A,  top  width  in  feet,  T,  and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

side  slopes  ^  to  1— Continued. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

6  feet 

7  feet 

8  feet 

9  feet 

' 

«  i 

>  i 

«  i 

-  i 

& 

T 

A 

s  I 

T 

A 

83     I 

T 

A 

§     | 

T 

A 

S  | 

II 

II 

II  " 

ii 

it 

0.4 

6.4 

2.48 

.36 

7.4 

288 

.36 

8.4 

3.28 

.37 

9.4 

3.68 

.87 

O.6 

66 

3.78 

.52 

7.6 

4.38 

.53 

8.6 

4.98 

.53 

9.6 

5.58 

.54 

0.8 

6.8 

5.12 

.66 

7.8 

5.92 

.67 

8.8 

6.72 

.69 

9.8 

7.52 

.70 

1.0 

7.0 

6.50 

.79 

8.0 

7.50 

.81 

9.0 

8.50 

.83 

10.0 

9.50 

.86 

1.2 

7.2 

7.92 

.91 

8.2 

912 

.94 

9.2 

1032 

.96 

10.2 

11.52 

.98 

1.4 

7.4 

9.38 

1.03 

8.4 

10.78 

1.07 

9.4 

12.18 

1.10 

10.4 

13.58 

1.12 

1.6 

7.6 

10.88 

1.14 

8.6 

12.48 

1.18 

9.6 

14.08'  122 

10.6 

15.68 

1.25 

1.8 

7.8 

12.42 

1.24 

8.8  !  14.22 

i 

1.29 

9.8 

16.02 

1.33 

10.8 

17.82 

2.O 

8.0 

14.00 

1.34 

9.0 

16  00 

1.39 

10.0 

18.00 

144 

11.0 

20.00 

1.48 

2.2 

8.2 

15.62 

143 

9.2 

1782 

1.49 

10.2 

20.02 

1.55 

11.2 

22.22 

1.59 

2.4 

84 

1728 

1.52 

94 

1968 

159 

10.4 

22.08 

165 

11.4 

24.48 

1.71 

2.6 

86 

18.98 

161 

96 

21  58 

169 

10.6 

24.18 

1.75 

11.6 

26.78 

1.81 

2.8 

8.8 

20.72 

1.69 

9.8 

23.52 

1.77 

10.8 

26.32 

1.84 

11.8 

29.12 

1.91 

3.0 

9.0 

22.50 

1.78 

10.0 

25.50 

1.86 

11.0 

2850 

1.94 

120 

31.50 

2.01 

3.2 

92 

24.32 

1.85 

102 

2752 

1.94 

11.2 

30.72 

2.03 

12.2 

33.92 

2.10 

3.4 

94 

26.18 

1.93 

10.4 

29.58 

203 

11.4 

3298 

212 

12.4 

3638 

219 

3.6 

96 

28.08    2.00 

106 

31.68 

211 

116 

35.28 

220 

126 

38.88 

2.28 

3.8 

9.8 

30.02 

2.07 

10.8 

33.82 

2.18 

11.8 

37.62 

2.28 

12.8 

41.42 

2.37 

4.O 

100 

32.00 

214 

11.0 

36.00 

2.26 

12.0 

40.00 

2.36 

13.0 

44.00 

2.45 

4.2 

10.2 

84.02 

2.21 

11.2 

33.22 

233 

12.2 

4242 

244 

13.2 

46.62 

253 

4.4 

104 

36.08 

228 

11.4 

4048 

241 

12.4 

44.88 

2.52 

13.4 

49.28 

2.62 

4.6 

106 

38.18 

2.35 

116 

42.78 

2.48 

12.6 

4738 

259 

13.6 

51.98 

2.70 

4.8 

10.8 

40.32 

2.41 

11.8 

.45.12 

254 

12.8 

49.92 

2.66 

13.8 

54.72 

2.77 

5.0 

11.0 

42.50 

2.47 

12.0 

4750 

2.61 

13.0 

52.50 

274 

14.0 

57.50 

2.85 

5.2 

11.2 

4172 

2.54 

12.2 

4992 

2.68 

13,2 

5512 

281 

14.2 

60.32 

2.92 

5.4 

11.4 

4698 

2.60 

124 

52.38 

274 

13.4 

5778 

288 

14.4 

63.18 

3.00 

5.6 

116 

49.28 

2.66 

126 

54.88 

2.81 

13.6 

60.48 

295 

14.6 

66.08 

3.07 

5.8 

11.8 

51.62 

2.72 

12.8 

57.42 

2.87 

13.8 

63.22 

301 

14.8 

69.02 

3.14 

6.0 

120 

54.00 

2.78 

13.0 

6000 

294 

14.0  !  66.00 

308 

15.0 

72.00 

3.21 

6.2 

12  2 

56.42 

2.84 

13.2 

62.62 

3.00 

142 

68.82 

3.15 

15.2 

75.02 

3.28 

6.4 

124 

58.88 

2.90 

134 

6528 

306 

14.4 

7168 

321 

15.4 

78.08 

3.35 

6.6 

126 

61.38 

2.96 

13.6 

67.98 

3.12 

14.6     74.58 

328 

15.6 

81.18 

3.42 

6.8 

12.8 

63.92 

3.01 

13.8 

70.72 

3.18 

14  S     77.52 

3.34 

15.8 

84.32 

3.48 

7.O 

13.0 

66.50 

3.07 

14.0 

7350 

3.24 

150 

80.50 

3.40 

16.0 

87.50 

3.56 

7.5 

13.5 

73.12 

3.21 

14.5     80.62 

3.39 

15.5 

88.12 

3.56 

16.5 

95.62 

8.71 

8.O 

140 

80.00 

3.35 

15  0  |  88.00 

3.53 

1G.O 

9600 

3.71 

17.0 

104.00 

3.87 

8.5 

14.5 

87.12 

3.48 

15.5  1  95.62 

3.68 

1G.5 

104.12   3.85 

17.5 

112.62 

4.02 

9.0 

150 

94.50 

362 

100    108.50 

3.83 

170 

11250 

399 

18.0 

121.50 

4.17 

0.5 

15.5   102.12 

3.75 

16.5   111.62 

3.97 

17.5 

121.12 

414 

18.5 

130.62 

4.32 

10 

16      110  0 

388 

17      120  0 

4.10 

18 

1300 

4.28 

19 

140.0 

4.46 

11 

17      126  5 

413 

18      1137.5 

4.36 

19 

148.5 

4.55 

20 

159.5 

4.76 

54 


HYDBAULIO    AND   EXCAVATION    TABLED. 


Table  15.—  Area  in  squaw  feet,  A,  top  width  in  feet,   T,  and 
hydraulic  radius  in  feei  y  r,  of  trapezoidal  channels, 

side  slopes  %  to  1 — Continued. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  w-idth 

10  feet. 

12  feet 

14  feet 

16  feet 

1 

T 

A 

area 
wet  per. 

T 

A 

»  i  ea 
wet  per. 

T 

A 

If 

T 

A 

area 
wet  per. 

II 

II 

II 

II 

w 

*> 

V 

1.O 

11.0 

10.50 

.86 

13.0 

12.50 

.88 

15.0 

14.50 

.89 

17.0 

16-50      .% 

1.2 

11.2 

12.72 

1.00 

132 

15.12 

1.03 

15.2 

17.52 

1.05 

17.2 

19.  9J    1.07 

1.4 

11.4 

14.98 

1.14 

134 

17.78 

1.18 

15.4 

ao.58 

1.20 

17.4 

23.38    1.22 

1.6 

11.6 

17.28 

1.27 

136 

20.48 

1.32 

15.6 

23.68 

1.35 

17.6 

20.88    137 

1.8 

11.8 

19.62 

1.40 

13.8 

23.22 

1.45 

15.8 

26.82 

1.49 

17.8 

30.42    1.52 

«.o 

12.0 

'22.00 

1.62 

14.0 

26.00 

1.58 

16.0 

80.00 

1.62 

18.0 

34.00   1.66 

2i2 

12.2 

24.42 

1.64 

14.2 

28.82 

1.70 

16.2 

33.22 

1.75 

18.2 

87.62    1.80 

2.4 

12.4 

26.88 

1.75 

14.4 

31.08 

1.82 

16.4 

86.48 

1.88 

18.4 

41.28    1  9G 

2.6 

12.6 

29.38 

1.86 

146 

34.58 

1.04 

16.6 

39.78 

2.01 

18.6 

44.98    2.06 

M 

12.8 

31.92 

1.96 

14.8 

37.52 

2.05 

16.8 

43.12 

2.13 

18.8 

48.72    2.10 

3.O 

130 

34.50 

2.06 

15.0 

40.50 

2.16 

17.0 

46.50 

2.25 

19.0 

62.50   2.3) 

3.2 

132 

37.12 

2.16 

15.2 

43.52 

2.27 

17.2 

49.92 

2.36 

19.2 

50.32   2.43 

3.4 

13.4 

39.78 

2.20 

154 

4658 

2.38 

17.4 

5338 

2.47 

19.4 

6018   2.55 

3.6 

13.6 

42.48 

2.35 

15.6 

49.08 

2  48 

17.6 

56.88 

2.58 

19.6 

0408   267 

3.8 

13.8 

45.22 

2.44 

15.8 

52.82 

2.58 

17.8 

60.42 

2.68 

19,8 

68.02   2.78 

4.0 

14.0 

48.00 

2.53 

160 

56.00 

2.67 

18.0 

64.00 

2.79 

20.0 

7200 

2.89 

4.2 

14.2 

60.82 

262 

16.2 

59.22 

2.77 

iaa 

67.621  2.89 

20.2 

76.02 

29f 

4.4 

144 

5368 

2.71 

164 

62.48 

2.86 

18.4 

71  .2Si  2.99 

•JO.  4 

8008 

3.10 

4.6 

14.6 

56.58 

2.79 

16.0 

65.78 

2.95 

18.6 

74.98   3.09 

20.6 

8418 

320 

4.8 

14.8 

59.52 

2.87 

16.8 

69.12 

3.04 

18.8 

78.72 

3.18 

20.8 

88.32 

3.J30 

5.G 

15.0 

62.50 

2.95 

17.0 

72.50 

3.13 

19.0 

82.50 

3.28 

21.0 

9250 

3.40 

5.2 

15.2 

6552 

3.03 

17.2 

75.92 

321 

19.2 

8632 

3.37 

21.2 

90.72 

360 

5.* 

154 

68.58 

3.10 

17.4 

79.38 

330 

194 

90.18 

3.46 

21.4 

100.98 

360 

5.6 

15.6 

71.68 

3.18 

17.6 

82.88 

338 

196 

94.08 

3.55 

21.6 

105.28 

3.69 

6.8 

15.8 

74.82 

3.26 

17.8 

86.42 

3.4d 

19.8 

98.02 

3.63 

21.8 

109.62 

3.78 

6.O 

16.0 

78.00 

333 

18.0 

90.00 

3.54 

20.0 

10200 

3.72 

22.0 

114.00 

3.88 

16.2 

81.22 

3.40 

18.2 

9362 

3.62 

20.2    106.02 

382 

22.2 

118.42 

3.97 

&4 

16.4 

84.48 

347 

18.4 

97.28 

3.69 

20.4   11008 

3.89 

22.4 

122.88 

4.05 

6.6 

16.6 

87.78 

3.54 

18.6 

100.98 

3.77 

20.  i!    114.18 

397 

22.6 

127.38 

4.14 

6.8 

1(5.8 

91.12 

3.61 

18.8  J104.72 

3.85 

20.8  1118.32 

4.05 

22.8 

131.92 

4.23 

7.O 

17.0 

94.50 

3.68 

19.0  J108.50 

3.92 

21.0  1122.50 

4.13 

23.0 

136.50 

4.31 

7.5 

17.5 

103.12 

3.85 

19.5   118.12 

4.10 

21.5 

133.12 

4.82 

23.5 

148.12 

4.5U 

8.0 
8.5 

18.0 
18.5 

112.00 
121.12 

4.01 
4.17 

20.0  J128.00 
20.5  il38.12 

4.28 
4.45 

22.0   14400 
22.5   155,12 

4.51 

4.70 

24.0 
24.5 

160.00 
172.12 

4.72 
4.91 

9.0 

190 

130.50 

4.33 

21.0   148  50 

462 

23.0  il66.50 

4.88 

25.0 

184.50 

5.09 

9.5 

19.5 

140.12 

4.48 

21.5 

159.12 

4.78 

23.5  178.12 

5.06 

25.6 

197.12 

5.2s 

1O.O 

20.0 

150.00 

4.64 

22.0 

17000 

4.95 

24.0   190.00 

5.23 

26.0 

210.00 

5.47 

10.5 

20.5 

160.12   4.79 

22.5 

181.12 

5.11 

24.5   202.12    5.39 

20.5   225.12 

6.  ('»•'» 

11 

170.50 

4.93 

23 

192.5 

5.26 

25      '214.5 

5.55 

27 

236.5 

5.82 

18 

m 

192.0 

5.21 

24 

216.0 

5.5Q 

26      240.0 

588 

28      204.0 

6.10 

23      214.6 

5.49 

25      '240.5 

5.85 

•J7       206.5 

0.19 

29       . 

G49 

HYDRAUIJC    AND   EXCAVATION    TAIM.ttK. 


5ft 


15. — -Area   in  square  feet,    A,    top   width   in  feet,    T.    u».d 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

.side  slopes  \*  to  1 — Continued. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

18  feet 

20  feet 

22  feet 

1 

t\i 

i  £ 

8  £ 

is 

f 

T 

A 

Bll 

r 

A 

I, 

T 

A 

•! 

T 

1* 

i 

1 

I 

1 

1.O 

19.0 

18.50 

.91 

21.0 

20.50 

.92 

23.0 

22.50 

.93 

25.0 

24.50 

.93 

1.2 

19.2 

22.  32 

1.08 

21.2 

24.72    1.09 

23.2 

27.12 

1.10 

25.2 

29.52 

1.  11 

1.4 

19.4 

26.18 

1.24 

21.4 

28.08!  1.25 

23.4 

31.78 

1.26 

25.4 

34.58 

1.27 

1.6 

19.6 

30.08 

1.39 

21.6 

33.28 

1.41 

23.6 

36.48 

1.43 

25.6 

39.68 

1.44 

1.8 

19.8 

34.02 

1.54 

21.8 

37.62 

1.57 

23.8 

41.22   1.58 

25.8 

44.82     1.60 

2.0 

20.0 

38.00 

1.69 

22.0 

42.00 

1.72 

24.0 

46.  Oo!  1.74 

26.0 

50.00     1.76 

2.2 

20.2 

42.02 

1.83 

22.2 

46.42 

1.86 

24.2 

50.S2J  1.89 

26.2 

55.22 

1.91 

3.4 

20.4 

46.08 

1.97 

22.4 

50.88 

2.01 

24.4 

55.68  2.03 

25.4 

60.48 

2.06 

2.6 

20.6 

50.18 

2.11 

22.6 

55.38 

2.15 

24.6 

60.  58  2.  18 

26.6 

65.78 

2.2i 

20.8 

54.32 

2.24 

22.8 

59.92 

2.28 

24.8 

65.52   2.32 

26.8 

71.12 

2.35 

3.0 

21.0 

58.50 

2.37 

23.0 

64.30 

2.41 

25.0 

70.50;  2.46 

27.0 

76.50 

2.49 

3.2 

21.2 

H2.72 

2.49 

23.2 

69.12 

2.54 

25.2 

75.52'  2.59 

27.2 

81.92 

2.63 

3.4 

21.4 

66.98 

2.62 

23.4 

73.78 

2.67 

25.4 

80.58|  2.72 

27.4 

87.38 

2.77 

3.6 

21.6 

71.28 

2.  7-1 

23.6 

78.48 

2.80 

25.6 

85.68|  2.85 

27.6 

92.88 

2.90 

3.8 

21.8 

75.62 

2.85 

23.8 

83.22 

2.92 

25.8 

90.82J  2.97 

27.8 

98.42 

3.03 

4.O 

22.0 

80.00 

2.97 

24.0 

88.00 

3.04 

26.0 

98.00!  3.10 

28.0 

104.00 

3.15 

4.2 

22.2 

84.42 

3.08 

24.2 

92.82 

3.16 

26.2 

101.22i  3.22 

28.2 

109.62 

3.28 

4.4 

22.4 

88.88 

3.19 

24.4 

97.68 

3.27 

26.4 

106.48  8.34 

28.4 

115.  28 

3.41 

4.6 

22-6 

93.381  3.30 

24.6 

102.58 

3.39 

26.6 

111.78  3.46 

28.6 

120.98 

3.53 

4.8 

22.8 

97.92  3.41 

21.8 

107.52 

3.50 

26.8 

117.12  3.58 

28.8 

126.72 

3.65 

5.0 

23.0 

102.50  3.51 

25.0 

112.50 

3.61 

27.  Q 

122.50 

3.69 

29.0 

132.50 

3.  77 

5.2 

23.2 

107.121  3.62 

25.2 

117.52 

3.72 

27.2 

127.92 

3.80 

29.2 

138.32 

3.&S 

5.4 

23.4 

111.78!  3.72 

25.4 

122.58 

3.82 

27.4 

133.38   3.91 

29.4 

144.18 

4.00 

5.6 

23.6 

116.48  3.82 

25.6 

127.68 

3.93 

27.6 

138.88   4.02 

29.6 

150.08 

4.11 

5.8 

23.8 

121.22  3.91 

25.8 

132.  b2 

4.03 

27.8 

144.  42j  4.13 

29.8 

156.02 

4.22 

6.0 

24.0 

126.00  4.01 

26.0 

138.00 

4.13 

28.0 

150.00  4.23 

30.0 

162.00 

4.33 

6.2 

24.2 

130.  82j  4.  11 

26.2 

143.  22 

4.23 

28.2   155.621  4.34 

30.2 

168.02 

4.  -it 

6.4 

24.4 

135.681  4.20 

26.4 

148.  48 

4.33 

28.4  1161.  28!  4.44 

80.4 

174.08 

4.5i 

6.6 

24,6 

140.58   4.29 

26.6 

153.78 

4.43 

28.6 

166.98  4.54 

30.6 

180.18 

4.65 

6.8 

24.8 

145.52  4.38 

26.3 

159.12 

4.52 

28.8 

172.  72J  4.64 

30.8 

186.32 

4.76 

7.0 

25.0 

150.50!  4.47 

27.0 

164.50 

4.61 

29.0 

178.50'  4.74 

81.0 

192.  50 

4.  86 

7.5 

25.5 

163.12 

4.69 

27.5 

178.12 

4.84 

29.5 

193.121  4.98 

31.5 

208.12 

6.J1 

8.0 

26.0 

176.00 

4.90 

28.0 

192.00 

5.07 

30.0 

208.00  5.21 

32.0 

224.00 

5.35 

$^ 

26.6 

189.  12 

5.11 

28.5 

206.12 

5.29 

o0.5  ;223.12j  5.44 

32.5 

240.  12 

5.58 

9.0 

27.0 

202.50 

5.31 

29.0 

220.50 

5.50 

31.0  238.50!  5.66 

33.0 

256.50 

5.81 

9.5 

27.5 

218.12 

5.51 

29.5  235.12 

5.70 

31.5 

254.12  5.88 

33.5 

273.12 

6.04 

10,0 

28.0 

230.00 

5.70 

30.0  !250.00 

5.90 

32.0 

270.00 

6.09 

34.0 

290.00 

6.2(5 

28.5 

244.12 

5.88 

80.5  J265.12 

6.09 

32.5 

286.12 

6.29 

34.5 

307.12 

6.47 

11 

29 

258.5 

6.08 

81       280.5 

6.28 

83 

302.5 

6.49 

35 

324.5 

6.68 

13 

80 

288.0 

6.42 

32       312.0 

6.  06 

34       336.0 

6.88 

36 

360.0 

7.08 

13 

81 

318.6 

6.76 

33      1344.  5 

7.02 

35      1370.6 

7.26 

37 

396.5 

7.47 

56 


HYDKAULIC    AND   EXCAVATION    TABLES. 


Table    15. — Area  in  square  feet,   A,    top   width  in  feet,    T,   and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

side  slopes  #  to  1 — Continued. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

26  feet 

28  feet 

30  feet 

32  feet 

. 

. 

! 

. 

J 

ej    ^ 

rt    Q. 

i 

oj    i 

oj'  3 

fl 

T 

A 

«  tJ 

T 

A 

S| 

T 

A 

rt  "4) 

T 

A 

S,| 

J! 
w 

!_ 

1 

t. 

i    t> 

I 

l.O 

27.0 

26.50 

.94 

29.0 

28.50 

.95 

31.0 

30.50 

.95 

33.0 

32.50 

.95 

1.2 

27.2 

31.92 

1.11 

29.2 

34.32 

1.12 

31.2 

36.72 

1.12 

33.2 

39.12 

1.13 

1.4 

27.4 

37.38 

.28 

29.4 

40.18 

1.29 

31.4 

42.98 

1.30 

33.4 

45.78 

1.30 

1.6 

27.6 

42.88 

.45 

29.6 

46.08   1.46 

31.6 

49.28 

1.47 

33.6 

52.48 

1.47 

1.8 

27.8 

48.42 

.61 

29.8 

52.02   1.62 

31.8 

55.62 

1.63 

33.8 

59.22 

1.64 

2.0 

28.0 

54.00 

.77 

30.0 

58.00  1.79 

32.0 

62.00 

1.80 

34.0 

66.00 

1.81 

2.2 

28.2 

59.  G2 

.93 

30.2 

64.02    1.94 

32.2 

68.42   1.96 

34.2 

72.82 

1.97 

2.4 

28.4 

65.28 

2.08 

30.4 

70.08  2.10 

32.4 

74.88J  2.12 

34.4 

79.68 

2.13 

2.6 

28.6 

70.98 

2.23 

30.6 

76.18!  2.25 

32.6 

81.38  2.27 

34.6 

86.58 

2.29 

2.8 

28.8 

76.72 

2.38 

30.8 

82.32|  2.40 

32.8 

87.92  2.42 

34.8 

93.52 

2.44 

3.0 

29.0 

82.50 

2.52 

31.0 

88.50!  2.55 

33.0 

94.50!  2.57 

35.0 

100.  50J    2.60 

3.2 

29.2 

88.32 

2.67 

31.2 

94.72   2.69 

33.2 

101.121  2.72 

35.2 

107.  52 

2.75 

3.4 
3.6 

29.4 
29.6 

94.18 
100.08 

2.80 
2.96 

31.4 
31.6 

100.98  2.84 
107.28   2.98 

33.4   107.781  2.87 
33.6   114.48  3.01 

35.4 
35.6 

114.58 
121.68 

2.90 
3.04 

3.8 

29.8 

106.02 

3.07 

31.8 

113.62  3.11 

33.8 

121.22 

3.15 

35.8 

128.82 

3.18 

4.0 

30.0 

112.00 

3.21 

32.0 

120.00  3.25 

34.0 

128.00 

3.29 

36.0 

136.00 

3.32 

4.2 

30.2 

118.02 

3.34 

32.2  1126.42  3.38 

34.2 

134.  82 

3.42 

36.2 

143.22 

3.46 

4.4 

30.4 

124.08 

3.46 

32.4  i  132.  88 

3.51 

34.4 

141.68 

3.56 

36.4 

150.  48 

3.60 

4.6 

30.6 

130.  18 

3.59 

32.6  1139.38 

3.64 

34.6 

148.  58 

3.69 

36.6 

157.78 

3.73 

4.8 

30.8 

136.32 

3.71 

32.8  1  145.  92 

3.77 

34.8 

155.52 

3.82 

36.8 

165.12 

3.86 

5.O 

31.0 

142.50 

3.84 

33.0 

152.50 

3.89 

35.0 

162.50 

3.95 

37.0 

172.50 

3.99 

5.2 

31.2 

148.72 

3.95 

33.2  1159.12 

4.01 

35.2 

169.52 

4.07 

37.2 

179.92 

4.12 

5.4 

31.4 

154.98 

4.07 

33.4  1165.78 

4.14 

35.4 

176.58 

4.20 

37.4 

187.58 

4.26 

5.6 

31.6 

161.28 

4.19 

33.6  |172.48 

4.26 

35.6 

183.68 

4.32 

37.6  !  194.85 

4.38 

5.8 

31.8 

167.62 

4.30 

33.8 

179.22 

4.37 

35.8 

190.82 

4.44 

37.8 

202.42 

4.50 

6.0 
6.2 

32.0 
32.2 

174.00 
180.42 

4.41 
4.53 

34.0 
34.2 

186.00 
192.  82 

4.49 
4.61 

36.0 
36.2 

198.00 
205.22 

4.56 
4.68 

38.0 
38.2 

210.00 
217.62 

4.62 

4.74 

6.4 

32.4 

186.88!  4.64 

34.4   199.68 

4.72 

38.4 

212.  48 

4.80 

38.4  i  225.  28 

4.86 

6.6 

32.6   193.38i  4.74 

34.6  206.  58 

4.83 

36.6 

219.  78 

4.91 

38.6   232.98 

4.98 

6.8 

32.8 

199.92  4.85 

34.8 

213.52 

4.94 

36.8 

227.  12 

5.03 

38.8  240.72 

5.10 

7.O 

33.0 

206.50  4.96 

35.0 

220.50 

5.05 

37.0 

234.50 

5.14 

39.0  248.50 

5.22 

7.5 

33.5 

223.12  5.22 

35.5 

238.  12 

5.32 

37.5 

253.12 

5.41 

39.5  268.12 

5.50 

8.O 

34.0 

240.00  5.47 

36.0 

256.00 

5.58 

38.0 

272.00 

6.68 

40.0 

288.00 

5.77 

8.5 

34.5 

257.12  5.71 

36.5 

274.  12 

5.83 

38.5 

291.12 

5.94 

40.5 

308.  12 

6.04 

9.O 

35.0 

274.50  5.95 

37.0 

292.50 

6.08 

39.0 

310.50 

6.20 

41.0 

328.50 

6.30 

9.5 

35.5 

292.12  6.18 

37.5 

311.12 

6.32 

39.5 

330.  12 

6.44 

41.5 

349.  12 

6.56 

1O.O 

36.0 

310.00  6.41 

38.0 

330.00 

6.55 

40.0 

350.00 

6.68 

42.0 

370.00 

6.81 

10.5 

36.5 

328.12 

6.63 

38.5 

349.12 

6.78 

40.5 

370.  12 

6.92 

42.5 

391.  12 

7.05 

11 

37 

346.5 

6.85 

39 

368.5 

7.01 

41 

390.5 

7.15 

43 

412.5 

7.29 

12 

38 

384.0 

7.27 

40 

408.0 

7.44 

42 

432.0 

7.60 

44 

456.0 

7.75 

13 

39 

422.6 

7.67 

41 

448.5 

7.86 

43 

474.5 

8.03 

45 

500.5 

8.20 

HYDRAULIC    AND   EXCAVATION    TABLES. 


57 


Table  15. — Area  in  square  feet,  A,  top  width  in  feet,   T,  and 
hydraulic  radius  in  feet ',  r,  of  trapezoidal  channels, 

side  slopes  ^  to  1 — Continued. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

35  feet 

40  feet 

45  feet 

50  feet 

£ 

fc 

i 

-  § 

1 

2  - 

T 

A 

V" 

T 

A 

s  1 

II 

||S 

*  g 
ii 

l.O 
1.3 

360 
362 

35.50 
42  72 

.85 
1.18 

410 

41.2 

4050 

48.72 

.96 
1.14 

46.0 
46.2 

45.50 
54.72 

.96 
1.15 

51.0 
512 

50.50 
6072 

.97 
1.15 

1.4 

364 

49.98 

1.31 

414 

56.98 

132 

464 

6398 

1.33 

514 

70.98 

134 

1.6 

36.6 

57.28!  1.49 

416 

65.28 

1.50 

46.6 

7328 

1.51 

516 

8128 

1.52 

1.8 

86.8 

64.62 

1.66 

41.8 

73.62 

1.67 

46.8 

82.62 

1.68 

51.8 

91.62 

1.70 

«.O 

37.0 

72.00 

1.82 

42.0 

82.00 

1.84 

47.0 

9200 

1.86 

520 

102.00 

187 

8.2 

372 

7942 

199 

422 

90.42 

201 

47.2 

101.42 

2.03 

522 

112.42 

205 

s!4 

87.4 

8688 

2.15 

424 

9888 

2.18 

474 

11088 

2.20 

524 

12288 

222 

2.6 

376 

94.38 

231 

426 

10738 

234 

47.6 

12038 

2.37 

526 

13338 

2.39 

2.8 

37.8 

101.92 

2.47 

42.8 

115.92 

2.51 

47.8 

129.92 

2.53 

52.8 

143.92 

2.56 

3.0 

380 

109.50 

2.63 

43.0 

124.50 

2.67 

48.0 

13950 

2.70 

530 

154.50 

272 

3.3 

382 

117.12 

278 

43.2 

133  12 

282 

48-2 

149.12 

2.86 

532 

165.12 

289 

3.4 

384 

124.78!  2.93 

43.4    141.78 

298 

48.4 

15878 

3.02 

634 

175.78 

3.05 

3.6 

386 

132.48]  308 

436    150,48 

313 

48.6 

168.48 

3.18 

536 

186.48 

321 

3.8 

38.8 

140.22 

3.22 

43.8 

159.22 

3.28 

48.8 

178.22 

3.33 

53.8 

197.22 

3.37 

4.O 

39.0 

148.00 

337 

44.0 

168.00 

343 

490 

18800 

3.49 

54.0 

208.00 

3.53 

4.2 

392 

155.82 

3.51 

442 

176.82 

3.58 

49.2 

197  82 

3.64 

54.2 

218  82 

368 

4.4 

39.4 

163.68 

365 

44.4 

185.68 

3.73 

494    20768 

3.79 

54.4 

2.9  68 

3.84 

4.6 

39.6 

171.58 

379 

446 

154.58 

3.87 

496    217.58 

3.94 

54.6 

240  58 

3.99 

4.8 

39.8 

179.52 

3.93 

44.8 

203.52 

4.01 

49.8    227.52 

4.08 

54.8 

251.52 

4.14 

5.O 

400 

18750 

4.06 

45.0 

212.50 

4.15 

500    237.50 

4.23 

55.0 

262.50 

4.29 

5.2 

40.2 

195.52 

4.19 

45.2 

221.52 

429 

50.2 

247.52 

4.37 

552 

273.52 

444 

5.4 

40.4 

203.58 

4.32 

454 

230.58 

4.43 

504 

257.58 

4.51 

55.4 

284.58 

4.58 

5.6 

40.6 

211.68!  4.45 

456 

239.68 

4.56 

506 

267.68 

4.65 

556 

295.68 

4.73 

5.8 

40.8 

219.82 

4.58 

45.8 

248.82 

4.70 

50.8  J277.82 

4.79 

55.8 

306.82 

4.87 

6.0 

41.0 

228.00 

4.71 

460 

258.00 

483 

51.0 

288.00 

4.93 

56.0 

318.00 

501 

6.2 

41.2 

236.22 

484 

46.2 

267.22 

496 

51.2 

298.22 

5.07 

56.2 

32922 

5.16 

6.4 

41.4 

244.48 

4% 

46.4 

276,48 

509 

51.4 

308.48 

5.20 

56.4 

340.48 

5.30 

6.6 

41.6    252.28 

508 

466 

285.78 

522 

51  6 

318.78 

5.34 

56.6 

351.78 

5.43 

6.8 

41.8    261.12    5.20 

46.8    295.12 

5.35 

51.8 

329.12 

5.47 

56.8 

363.12 

5.57 

7.0 

42.0    269.50 

5.32 

47.0    304.50 

5.47 

52.0 

339.50 

5.60 

57.0 

374.50 

5.70 

7.5 

42.5  :  290.62 

5.61 

47.5  :  328.12 

5.78 

52.5 

365.62 

5.92 

57.5 

403.12 

6.04 

8.O 

43.0  !312.00   5.90 

480    352.00 

6.08 

53.0 

392.00 

6.23 

58.0 

43200 

6.36 

8.5 

43.5    333.62 

6.18 

48.5 

376.12 

6.37 

53.5 

418.62 

6.54 

58.5 

461.12 

6.68 

9.0 

44.0    355.50 

6.45 

49.0 

400.50 

6.66 

54.0 

445.50 

6.84 

59.0 

490.50 

7.00 

9.5 

44.5 

377.62!  6,71 

49.5 

425.12 

6.94 

54.5 

472.62 

7.13 

59.5 

520.12 

7.30 

10.O 

45.0 

400.00 

6.97 

50.0 

450.00 

7.22 

55.0 

50000 

7.42 

60.0 

550.00 

7.60 

10.5 

45.5 

422.62 

7.22 

50.5    475.12 

7.49 

65.5 

527.62 

7.70 

60.5 

580.12 

7.89 

11 

46 

445.5 

7.47 

51 

500.5 

7.75 

56 

555.5 

7.98 

61 

610.5 

8.18 

13 

47       492.0 

7.96 

52 

552.0 

826 

57 

612.0 

8.52 

62 

672.0 

8.75 

13 

48       5395 

8.42 

53 

604.5 

8.75 

58 

669.5 

9.03 

03 

734.5 

9.29 

AND   EXCAVATION    TABF.KS. 


Table  16.—^r<?#  in  square  feet,  slt  top  width  in  feet,  7\  an<S 
hydraulic  ra,dius  in  feet,  r,  of  trapezoidal  channels, 

side  slopes  1  to  1. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

2  feet 

3  feet 

4  feet 

5  feet 

; 

. 

§ 

1 

„ 

*    K 

CO        | 

a 

i 

od 

£ 

0 

r 

«     1 

T         A       g     $ 

7' 

A 

I 

i 

T 

A 

B 

I 

II 

li 

i 

!      *. 

1               !       V. 

i. 

V 

0.4 

2.8 

.96      .31 

3.8      1.36 

.33 

4.8 

1.76 

.34 

5.8 

2.16 

.35 

0.6 

3.2 

1.56 

.42 

4.2 

2.16 

.46 

6.2 

2.76 

.48 

6.2 

8.8Q 

.50 

0.8 

3.6 

2.24 

.53 

4.6 

8.04 

.58 

5.6 

8.84 

.61 

6.6 

4.64 

N 

1.0 

4.0 

8.00 

.62 

•5.0 

4.00 

.69 

6.0 

5.00 

.73 

7.0 

6.00 

' 

77 

1.2 

4.4 

8.84 

.71 

5.4 

5.04 

.79 

6.4 

6.2* 

. 

M 

7.4 

7.44 

S9 

1.4 
1.6 
1.8 

4.8, 
6.2 
6.6 

4.76 
5.76 
6.84 

.80 
.88 
.96 

5.8 
6.2 
6.6 

6.16 
7.36 
8.64 

.89 
.98 
1.07 

6.8 
7.2 
7.6 

7.56 
8.% 
10.44 

.95 
1.05 
1.15 

7.8 
8.2 
8.6 

8.96 
10.56 
12.24 

1.00 
1.11 

1.21 

2.0 

6.0 

8.00 

1.04 

7.0 

10.00 

1.16 

8.Q 

12.00    1.24 

9.0 

14.00 

1.31 

2.2 

6.4 

924 

1.12 

7.4 

11.44 

1.24 

8.4 

13.64    1. 

{8 

9.4 

15.84 

1. 

U 

8.4 

6.8 

10.56 

1.20 

7.8 

1296 

1.33 

8.H 

15.36   1. 

42 

9.8 

17.76 

1. 

51 

2.6 

7.2 

11.96 

1.28 

8.2 

14.50 

1.41 

9.2 

17.16    1.51 

10.2 

19.76 

I.  o-'l 

2.8 

7.6 

13.44 

1.36 

8.6 

16.24 

1.49 

9.6 

19.04 

1.60 

10.6 

21.84 

1. 

»'l 

|| 

8.0 
8.4 

15.00 
16.64 

1.43 
1.51 

9.0 
9.4 

18.00 
19.84 

1.57 
1.65 

10.0 
10.4 

21,00   1. 
28.04J  1. 

7  * 

11.0 
11.4 

24.QO 

2624 

1.7* 

1.87 

8.8 

18.36 

1.59 

9.8     21.76 

1  72 

10.8 

25.161  1.85 

11.8 

28.56 

1.96 

3.6 

9.2 

20.16 

1.66 

10.2     23.76 

18) 

11.2 

27.36 

1. 

IS 

12.2 

30.96 

2. 

•4 

3.8 

9.6 

22.04 

1.73 

10.6 

25.84 

1.88 

11.6 

29.64 

2.01 

12.6 

33.44 

18 

4.0 

10.0 

24.00 

1.80 

11.0     28.00 

196 

120 

32.00 

2.f9 

13.0 

36.00 

2.21 

4.2 

10.4 

•26.04 

1.88 

11.4 

3J.24 

2  03 

124 

84.44 

2. 

17 

13.4 

3S.61 

2. 

29 

4.4 

10.8 

2846 

1.95 

11.8 

32.56 

211 

12-8 

3696 

2.25 

13.8 

41.86   2.37 

4-6 

11.2 

3036 

2.02 

12.2 

3496 

2.1S 

132 

39.56 

2. 

;.; 

14.2 

44.1S 

& 

4.8 

11.6 

32.64 

2.10 

12.6 

37.44 

2.26 

13.6 

42.24 

2.41 

14.6 

47.04 

2.58 

5.0 

12.0 

35.00 

2.17 

13.0 

40.00 

2.33 

14.0 

45.00 

2.48 

15.0 

50.00 

2.61 

5.2 

12.4 

37.44 

2.24 

13.4 

42.64 

2.41 

144 

47.S4 

2.56 

15.4 

53.04!  269 

5.4 

12.8 

39.96 

2.31 

13.8 

45.86 

2.48 

14.8 

50.76 

2 

18 

158 

56.16;  ~. 

77 

5.6 

13.2 

42.56 

2.38 

14.2 

48.16 

255 

15.2 

53.76 

2.H 

16.2 

[,9.36   28A 

5.8 

13,6 

45.24 

2.46 

14.6 

51.04 

2.63 

15.6 

56.84 

2.79 

16.6 

(i2.64 

2.94 

6.0 

14.0 

48.00 

2.53 

15.0 

54.00 

2.70 

160 

60.00 

286 

17.0 

66.00 

300 

6,2 

14.4 

5J.84 

2.60 

15.4 

57.04 

2.7S 

16.4 

63.24 

2. 

n 

17.  1 

69.44    3. 

g 

6.4 

14.8 

53.76 

2.67 

158 

60.16 

2.85 

16.8 

66.56 

3.01 

17.8 

72.96 

3.16 

6.6 

15.2 

56.76 

2.75 

16.2 

63.86 

292 

17.2 

69.96 

3. 

0 

18.2 

76.76 

a. 

•9 

6.8 

15.6 

59.8-1 

2.82 

16.6 

66.64 

3.00 

17.6 

73.44 

3.16 

18.6 

80.24 

3.31 

7-0 

17 

7000 

3.07 

18 

77.00 

3.94 

19 

81.00 

3.H9 

7.5 

is 

78.75 

3.25 

19 

86.25 

3. 

ja 

20 

93.75 

;;. 

8.O 

19 

88.00 

3.43 

20 

96.00 

8.61 

21 

10400 

3. 

8.5 

20 

97.75 

3.62 

21 

106.25 

8. 

22      114.75 

3. 

M 

0.0 

*•*••* 

21 

108.00 

3.80 

22 

117.00 

3.97 

23      126.00 

i 

n 

O  1 

23          19«  Or, 

ifi 

24      j!37.75 

4. 

18 

24 

140.00 

4.84 

25      150.00 

451 

Jl 



26      165.00 

4.70 

21      (176.00 

4.87 

AND   BXCAVATIOH   TAHLKS. 


IB. — Area  in  square  feet,  A,  top  width  in  feet \  T,  and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

side  slopes  1  to  1 — Continued. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  widtt 

6  feet 

7  feet 

8  feet 

9  feet 

1 

T 

A 

If 

T 

A 

i  | 

T 

A 

h 

g       PI 

T 

A 

1 

il 

II 

II 

1 

H 

h 

^ 

I 

0.4 

68 

2.56 

.36 

7.8 

2.% 

.36 

8.8 

836 

.37 

9.8 

8.76 

.1 

0.6 

7.2 

3.96 

.51 

8.2 

4.56 

.52 

9.2 

5.16 

.53 

102 

5.76 

.i 

0.8 

7.6 

6.44 

.66 

8.6 

6.24 

.67 

9.6 

7.04 

.69 

10.6 

7.81 

1.0 

8.0 

7.00 

.79 

9.0 

8.00 

.81 

10.0 

9.00 

.83 

11.0 

10.00 

;( 

a 

84 
8.8 

8.6-4 
1036 

.91 
1.03 

9.4 
9.8 

984 
11.76 

.95 
1.07 

10.4 
108 

11.04 
13.16 

.97 
1.10 

11.4 

11  H 

12  24 
14.56 

i 

i'i 

1.0 

9.2 

12.16 

1.15 

102 

13.76 

119 

11.2 

15.36 

123 

12.2 

16.9. 

1.5 

1.8 

9.6 

14.0-1 

1.26 

10.6 

15.84 

1.31 

11.6 

17.64 

1.35 

12.6 

19.44 

i  ; 

».O 

10.0 

16.00 

187 

11  .0 

18.00 

1.42 

12.0 

20.00 

1.46 

18.6 

22.00 

ZJ 

5J.3 

10.4 

18.04 

148 

11.4 

2024 

1.53 

124 

22.44 

1.58 

134 

24.61 

n 

g]4 

10.8 

2016 

158 

118 

22..% 

l'64 

128 

24.% 

169 

138 

27.36 

i  .  " 

M 

11.2 

22.36 

167 

122 

24% 

1.74 

13.2 

27/6 

1.8) 

142 

30.16 

i  > 

8.8 

11.6 

24.64 

1.77 

12.6 

27.44 

1.84 

18.6 

30.24 

1.90 

14.6 

33.04 

1  V 

8.0 

120 

27.00 

1.86 

180 

30.00 

194 

14.0 

33.ro 

2.00 

150 

36.00 

•2( 

3.3 

124 
128 

29441    1.96 
31.%!   205 

134 
138 

32.64    203 
3V36    213 

11.4 
148 

3584 

387ii 

210 
2.20 

15.4 
15.8 

39.04 
42.16 

2. 
2V 

S!B 

132 

34.56)   214 

14.2 

38.16|  222 

15.2     41.76 

2.30 

162 

45.36 

2S 

o»o 

13.6 

37.24    2.23 

14.6 

41.04 

2.31 

15.6     44.84 

2.40 

16.6 

48.64 

2. 

i 

' 

4.O 

140 

40.00  i   2.31 

15.0 

44.00 

240 

16.0 

48.00 

2.49 

170 

52.00 

4.3 

144 

42.841   2.40 

15.4 

47.04    2.49 

164 

51.24 

258 

174 

5544 

4.4 

148 

45.76     2  4S 

158 

50.16'  2.58 

168 

51.56 

267 

178 

58% 

2' 

4.6 

152 

4^.76     2.56 

16.2 

53.36:  2.67 

172 

57.% 

276 

182 

6256 

•2  • 

4.8 

15.6 

51.841   2.65 

16.6 

56.64 

2.76 

17.6  i  61.44 

2.85 

18.6 

66.24 

'^ 

5.0 

16.0 

55.00 

273 

17.0 

60.00 

284 

18.0     65.00 

2.94 

19.0 

70.00 

3i 

6.3 

16.4 

58.24 

2.81 

17.4 

6344   292 

1"*.4 

6V64   302 

194 

73.84 

:'  1 

16.8 

61/6     2.89 

17.8 

66  %!  3  01 

188 

723'.    3.11 

198 

77.76 

;•(! 

5J(j 

17.2 

64  9  i!    2.97 

18.2     7056    -J09 

192 

76.16   319 

20.2 

81.76 

95 

5.8 

17.6 

68.44    3.05 

18.6 

74.24    3.17 

19.6 

80.U4 

328 

206 

£3.84 

3! 

6.O 

180 

72.0'i     3.13 

19.0 

78.^0   3.25 

20.0 

84.00 

386 

21.0 

90.00 

3- 

6.3 

ISA 

7564!    321 

194 

81.P4!  334 

20.4 

84.04 

345 

2L.4 

94.24 

:>  • 

6.4 

18.8 

79.36 

3.29 

198 

85.76   3.42 

2).8 

9216 

3.5  J 

21.8 

98.56 

•M 

6.6 

192 

83.16 

3.37 

2  '.2 

89.76   3.50 

21.2     96  ::6 

361 

22.2 

102.96 

:i' 

6.8 

19.6 

87.04 

3.45 

2X6 

93.84 

3.58 

21.6   100.61 

3.70 

22.6 

107,44 

3,1 

7.0 

20 

91.00    3/3 

21 

98.00 

366 

22      il05  00 

378 

23 

11200 

9i 

7.4 

21 

1U1.25 

3.72 

22 

108.75 

3.86 

23 

116.25 

3.98 

24      123.75 

4. 

8.0 

22 

11200 

391 

23 

120.00 

405 

2t 

1?8.0T 

418 

25      (136  00 

4; 

3.5 

23      123.2.3 

410 

24 

131.75 

4.25 

25      jl  10.2,3 

4.38 

26      J148.7, 

4 

0.0 

24       135.00 

4.29 

25 

144.00 

4.44 

26      115100 

4.57 

27    liaa  eo 

9.5 

25      147.25 

4.48 

26      J156.75 

4.63 

27       166.2j 

4.77 

28      il7o.7u 

..  1 

ir 

26      !l6l  00 
28_JH7.00 

467 

27      1170  00 
.29  __  198.00 

482 
520__ 

28      180  00 
30_  2  900 

4..96 
534_ 

29      1190.00 
31  _    220.0  »_ 

R 

a. 

60 


HYDRAULIC   AND  EXCAVATION    TABLES. 


Table  16. — Area  in  square  feet,  A,  top  width  in  feet,   Tt  and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

side  slopes  1  to  1— Continued. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

10  feet. 

12  feet 

14  feet 

16  feet 

.g 

i 

.  i 

i 

i 

T 

A 

S     | 

T 

A 

°  1 

r 

A 

03      t! 

T 

A 

s  1 

II 

ii 

II 

ii 

^ 

w 

t, 

^ 

1.0 

12.0 

ll.Oo!    .86 

14.0 

1300 

.88 

16.0 

15.00 

.89 

18.0 

17.00 

.90 

1.3 

12.4 

1344   1.01 

144 

15.84 

l.(  3 

164 

18.24 

1.C5 

18.4 

2).64 

1.06 

1.4 

128 

15%   115 

14.8 

18.76 

l'l8 

168 

21.56 

1.20 

188 

24  36 

1.22 

1.6 

132 

18.56   128 

15.2 

2176 

1.32 

172 

24.% 

135 

19.2 

2816 

1.37 

1.8 

13.6 

21.24   1.41 

15.6 

24.84 

1.46 

17.6 

28.44 

1.49 

19.6 

32.04 

1.52 

| 

3.O 

14.0 

24.00   1.53 

16.0 

28.00 

1.59 

180 

32.00 

1.63 

20.0 

36.00 

1.66 

3.3 

144 

26.84    165 

16.4 

31.24 

171 

184 

35  f  4 

1.76 

20.4 

4.)  04 

1.80 

3.4 

148 

2J.76   177 

168 

3456 

1.84 

188 

39.31 

189 

208 

4416 

1.94 

3.6 

152 

8276   189 

172 

37.% 

1.% 

192 

43.16 

2.02 

21.2 

48  3:'. 

2.07 

3.8 

15.6 

35.84   2.00 

17.6 

41.44 

2.08 

19.6 

47.04 

2.15 

21.6 

52.04 

2.20 

3.0 

16.0 

39001  2.11 

180 

45.00 

2.20 

20.0 

51.00 

2.27 

22.0 

57.00 

2.3? 

3.3 

15.4 

42.24   2.22 

184 

48.64 

231 

2).4 

55.04   239 

22.4 

6144 

2.45 

3.4 

168 

4556   2.33 

18.8  !  52.36 

2.42 

20.8 

59.16 

2.51 

22.8 

65% 

258 

3.6 

172 

48%   2.43 

19  2     56.16  2  53 

21.2 

6336 

262 

23.2 

7».56 

270 

3.8 

17.6 

52.44   2.53 

19.6  j  6.J.04 

2.64 

21.6 

67.64 

2.73 

23.6 

75.24 

2.82 

4.0 

18.0 

56.00  12.63 

20.0 

64.00 

2.74 

22.0 

72.00 

2.84 

24.0 

80.00 

2.93 

4.3 

184 

59.64   273 

23.4 

68.04 

2.85 

22.4 

76.44 

2.95 

24.4 

8484 

304 

4.4 

18.8 

03  35   2  83 

20.8 

72.16 

295 

22.8 

83.95 

3.06 

24.8 

897t> 

3.16 

4.6 

19.2 

6716 

2.92 

21.2 

76.36 

3.<5 

232 

85.56 

3.17 

25.2 

94.76 

327 

1.8 

19.6 

71.04 

3.02 

21.6 

80.64 

3.15 

23.6 

90.24 

3.28 

25.6 

99.84 

3.38 

5.0 

20.0 

75.00 

3.11 

22.0 

85.00 

3.25 

24.0 

95.00 

3.88 

26.0 

10500 

3.48 

5.3 

20.4 

7i».04 

3.20 

22.4 

89.44 

3.35 

244 

9984 

3.48 

26.4 

110  24 

3.59 

5.4 

208 

83.16 

329 

228 

93.% 

3.44 

24.8 

104.7i) 

3.58 

26.8 

115.5T> 

3.69 

5.6 

21.2 

87.36 

3.38 

23.2 

98.56 

3.54 

252 

109.7(5 

3.68 

272 

120.% 

380 

5.8 

21.6 

91.64 

3.47 

23.6 

103.241  3.13 

25.6 

114.84 

3.78 

27.6 

126.44 

3.90 

1 

6.0 

22.0 

%.oo 

356 

24.0 

108.00 

3.73 

26.0 

120.00 

3.88 

28.0   13200 

4.00 

6.3 

224   1)0.44 

3  f'5 

244 

11284 

3.82 

20.4 

12524 

3.97 

284    137.64 

4.10 

6.4 

22.8   1  4  96 

3.73 

248   117.76 

3.91 

26.8 

13).56 

407 

28.8    11336 

4.20 

6.6 

23.2  ^109.56 

3.82 

25.2  J122.76 

4.00 

27.2 

135.% 

4.16 

29.2  114.1.16 

4.30 

6.8 

23.6 

114.24 

3.91 

25.6  J127.84 

4.09 

27.6 

141.44 

4.26 

29.6  |155.04 

4.40 

7.O 

24.0 

119.00 

8.99 

26.0   133.00 

4.18 

28.0 

147.00 

4.35 

30.0 

161.00 

4.50 

7.5 

25.0 

131.25 

4.21 

27.0 

146.25 

4.43 

29.0 

161.25 

4.58 

31.0 

176.25 

4.74 

H.O 

26.0 

144.00 

4.42 

28.0 

160.00 

4.62 

80.0    176.00 

4.81 

32.0 

192.00 

4.97 

8.5 

27.0 

157.25 

4.62 

29.0 

174.25 

4.84 

31.0   191.25 

5.03 

33.0 

208.25 

5.20 

9.0 

28.0 

171.00 

4.82 

30.0 

189.00 

5.C5 

32.0   207.00 

5.25 

84.0 

225.00 

543 

29.0 

185.25 

5.02 

31.0 

204.25   5.21} 

33.0  J223.25 

5.47 

35.0 

278.25 

5.G5 

10.0 

30.0 

200.00 

5.22 

3-2.0 

220.00   6.45 

84.0   240.00 

5.68 

36.0 

260.00 

5.87 

10.5 

31.0 

-.45.25 

5.42 

33.0 

236.25 

5.G7 

&3.0 

257.25 

5.89 

37.0 

278.25 

6.09 

11 

82.0 

231.00 

5.62 

34.0 

253.00 

5.87 

86.0 

275.00 

6.10 

38.0  297.00 

631 

13 

84.0 

26400 

6.01 

3>.0 

288.00   6.27 

38.0 

812.00 

6.51 

40.0   33ii.OO 

6.73 

13 

36.0 

699.00 

6.39 

880 

325.00!  6.66 

40.0   351.00 

6.92 

42.0  377.00 

_7J5 

HYDRAULIC   AND   EXCAVATION   TABLES. 


61 


Tat)le    16. — Area  in  square  feet,   A,   top  width  in  feet,   Tt   and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

side  slopes  1  to  1 — Continued. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  \vidth 

18  feet 

20  feet 

22  feet 

24  feet 

1 

r 

A 

*J1 

T 

A 

it 

r 

A 

«!t> 

r 

A 

«  V 

fi 

i  'V- 

I  P» 

^ 

I 

I 

I 

I 

1.0 

20.0 

'• 
19.00     .91 

22.0 

21.0o!    .92 

24.0 

23.00'     .93 

28.0 

25.00 

.93 

1.2 

20.4 

23.  Ol1     .08 

22.1 

25.44 

1.09 

24.4 

27.84;  1.10 

26.4 

30.24 

1.10 

1.4 

20.8 

27.16     .24 

22.8 

29.  90 

1.25 

24.8 

32.76J  1.26 

26.8 

35.56 

1.27 

1.6 

21.2 

31.36     .39 

23.2 

34.56 

1.41 

25.2 

37.76   1.42 

27.2 

40.96 

1.44 

1.8 

21.6 

35.64     .54 

23.6 

39.24 

1.56 

25.6 

42.84   1.58 

27.6 

46.44 

1.60 

2.0 

22.0 

40.00     .69 

2*.0 

44.00 

1.72 

26.0 

48.00  i.74 

28.0 

62.00 

1.75 

2.2 

22.4 

4-i.  44     .  83 

&L  4 

48.  8  i 

1.86 

26.4 

53.24!  1.89 

28.4 

57.64 

1.91 

2.4 

22.8 

48.96      .98 

24.8 

53.76 

2.01 

26.8 

58.561  2.03 

28.8 

63.36 

2.06 

2.8 

23.2 

53.56   2.11 

25.2 

58.76 

2.15 

27.2 

63.961  2.18 

29.2 

69.16 

2.20 

2.8 

23,6 

58.24   2.25 

25.6 

63.84 

2.29 

27.6 

69.44  2.32 

29.6 

75.04 

2.35 

3.O 

24.0 

63.00  2.38 

26.0 

69.00 

2.42 

28.0 

75.00  2.46 

30.0 

81.00 

2.49 

3.2 

24.4 

67.84'  2.51 

26.4 

74.24 

2.56 

28.4 

80.64!  2.60 

30.4 

87.04 

2.63 

3.4 

24.8 

72.76   2.63 

26.8 

79.56 

2.69 

28.8 

86.36|  2.73 

30.8 

93.16 

2.77 

3.6 

25.2 

77.76;  2.76 

27.2 

84.96 

2.82 

29.2 

92.16 

2.86 

31.2 

99.36 

2.91 

3.8 

25.6 

82.84  2.88 

27.6 

90.44 

2.95 

29.6 

98.04 

2.99 

31.6 

105.64 

3.04 

4.O 

26.0 

88.00'  3.00 

28.0 

96.00 

3.07 

30.0 

104.00!  3.12 

32.0 

112.00 

3.17 

4.2 

26.4 

93.24^  3.12 

28.4 

101.64 

3.19 

30.4 

110.04  3.25 

32.4 

118.44 

3.30 

4.4 

26.8 

98.56  3.24 

28.8 

107.36 

3.31 

30.8 

116.16  3.37 

32.8 

124.96 

3.43 

4.6 

27.2 

103.96,  3.35 

29.2 

113.  16 

3.43 

31.2 

122.36 

3.49 

33.2 

131.  56 

3.55 

4.8 

27.6 

109.44  3.47 

29.6 

119.04 

3.55 

31.6 

128.64 

3.62 

33.6 

138.24 

3.68 

5.0 

28.0 

115.001  3.58 

30.0 

125.00  3.66 

32.0 

135.00 

3.73 

34.0 

145.00 

3.80 

5,2 

28.4 

120.641  3.69 

30.4 

131.04 

3.78 

32.4 

141.44 

3.85 

34.4 

151.84 

3.92 

5.4 

28.8 

126.36   3.  SO 

30.8 

137.16!  3.89 

32.8 

147.96 

3.97 

34.8 

158.76 

4.04 

5.0 

29.2 

132.16]  3.90 

31.2 

143.36 

4.00 

33.2 

154.56 

4.08 

35.2 

165.76 

4.16 

5.8 

29.6 

138.041  4.01 

31.6 

149.64  4.11 

33.6 

161.24 

4.20 

35.6 

172.84 

4.28 

6.0 

30.0 

144  00  4.  12 

32.0 

156.00!  4.22 

34.0 

168.00 

4.31 

36.0 

180.00 

4.39 

6.2 

iJO.  4 

150.  04!  4.22 

32.4 

162.44 

4.33 

34.4 

174.84 

4.42 

36.4 

187.24 

4.51 

6.4 

sols 

156.16   *.33 

32.8  J168.96 

4.44 

34.8 

181.76  4.53 

36.8 

194.  56 

4.62 

6.6 

31.2 

102.36;  4.43 

33.2   175.56 

4.54 

35.2 

188.76  4.64 

37.2 

201.96 

4.73 

6.8 

31.6 

168.64!  4.53 

33.6  182.24 

4.64 

35.6 

195.84  4.75 

37.6 

209.44 

4.84 

7.0 

32 

175.00  4.63 

34 

189.00 

4.75 

36 

203.00 

4.86 

38 

217.00 

4.95 

7.6 

33 

191.25 

4.88 

35      J206.25 

5.01 

37 

221.25  5.12 

39 

236.25 

5.23 

8.0 

34 

208.00 

5.12 

36      1224.00 

5.26 

38 

240.00  5.38 

40 

256.00 

5.49 

&5 

35 

225.25 

5.36 

37 

242.25 

5.50 

39 

259.25  5.64 

41 

276.25 

5.75 

9.0 

36 

243.00 

5,59 

38 

261.00 

5.74 

40 

279.00 

5.88 

42 

297.00 

6.01 

9.5 

37 

261.25 

5.82 

39 

280.25 

5.98 

41 

299.25 

6.12 

43 

318.25 

6.26 

10.0 

38 

280.00   6.05 

40 

300.00 

6.21 

42 

320.00 

6.36 

44 

340.00 

6.50 

1O.5 

39 

299.25  6.28 

41 

320.25 

6.44 

43 

341.25 

660 

45 

362.25 

6.75 

11 

40 

319 

6.50 

42 

341 

6.67 

44 

363 

6.84 

46 

385 

6.99 

12 

42 

360 

6  93 

44 

384 

7.12 

46       408 

7.29 

48 

432 

7.46 

13 

44 

403 

7.36 

46 

429 

7.56 

48     '455 

7.74 

50 

481 

7.91 

HYDRAULIC    AND   EXCAVATION    TABLES. 


Table    16. — Area  in  square  feet,   A,   top   width  in  feet, 
hydraulic  radius  in  feet,  rt  of  trapezoidal  channels, 

side  slopes  1  to  1— Continued. 


T,  and 


Bottom  width 

Bottom  width 

Bottom  width 

bottom  width 

26  feet 

28  feet 

30  feet 

32  feet 

t 

>!& 

«!i 

si 

ti 

ft 

T 

A 

<a  S 

r 

1 

rtltJ 

r 

A 

5  £ 

7 

A 

£  -g 

M 

If 

II 

g: 

£ 

t 

£ 

I 

1 

1.0 

28.0 

27.00 

.94 

30.0 

29.00 

.94 

32.0 

31,00 

.94 

34.0 

33.00 

.95 

1.2 

28.4 

32.64 

1.11 

30.4 

35.01 

1.12 

32.4 

37.44   1.12 

34.4 

39.84 

1.13 

1.4 

28.8 

38.30 

1.28 

30.8 

41.  16 

1.29 

32.8 

43.%   1.29 

34.8 

46.76 

1.30 

1.6 

29.2 

44.16 

1.45 

31.2 

47.36 

1.46 

33.2 

50.56   1.46 

35.2 

53.76 

1.47 

1.8 

29.6 

50.04 

1.61 

31.6 

63.64 

1.62 

33.6 

57.24   1.63 

35.6 

60.84 

1.64 

2.O 

30.0 

66.00 

1.77 

32.0 

60.00 

1.78 

34.0 

64.00   1.80 

36.0 

68.00 

1.81 

3.2 

30.4 

62.04 

1.93 

32.4 

66.44 

1.94 

34.4 

70.84   1.96 

36.4 

75.24 

1.97 

2.4 

30.8 

68.16 

2.08 

32.8 

72.% 

2.10 

34.8 

77.76 

2.11 

36.8 

82.56 

2.13 

2.6 

31.2 

74.36 

2.23 

33.2 

79.  56 

2.25 

35.2 

84.76 

2.27 

37.2 

89.% 

2.29 

2.8 

31.6 

80.64 

2.38 

33.6 

86.24|  2.40 

35.6 

91.84 

2.42 

37.6 

97.44 

2.44 

3.0 

32.0 

87.00 

2.52 

34.0 

93.00;  2.55 

36.0 

99.00 

2.67 

38.0 

105.00     2.59 

3.2 

32.4 

93.44 

2.67 

34.4 

99.84 

2.69 

36.4 

106.24 

2.72 

38.4 

112.64 

2.74 

3.4 

32.8 

99.% 

2.81 

84.8 

106.76 

2.84 

36.8 

113.56 

2.87 

38.8 

120.36     2.89 

3.6 

33.2 

106.56 

2.95 

35.2 

113.76 

2.98 

37.2 

120.96 

3.01 

39.2   127.%!    3.03 

3.8 

33.6 

113.24 

3.08 

35.6 

120.84 

3.12 

37.6 

128.44 

3.15 

39.6   136.04 

3.18 

4.0 

34.0 

120.00 

3.22 

36.0 

128.00  3.26 

38.0 

136.00 

3.29 

40.0 

144.00 

3.32 

4.2 

34.4 

126.84 

3.35 

36.4 

135.  24 

3.39 

38.4 

143.64 

3.43 

40.4   152.04 

3.46 

4.4 

34.8 

133.76  3.48 

36.8 

142.  66 

3.53 

38.8 

151.36 

3.57 

40.8   160.16 

3.60 

4.6 

35.2 

140.76  3.61 

37.2 

149.% 

3.66 

39.2 

159.16 

3.70 

41.2  1168.36 

3.74 

4.8 

36.6 

147.84 

3.74 

37.6 

157.44 

3=79 

39.6 

167.04 

3.83 

41.6 

176.64 

3.88 

5.0 

36.0 

155.00 

3.86 

88.0 

165.00 

3.91 

40.0 

175.00 

3.97 

42.0 

185.00 

4.01 

5.2 
5.4 

36.4 
36.8 

162.  24 
169.56 

3.99 
4.11 

38.4 
38.8 

172.  64 
180.36 

4.04 
4.17 

40.4   183.04 
40.8   191.16 

.09 
.22 

42.4 
42.8 

193.44 
201.% 

ts 

5.6 

37.2 

176.% 

4.23 

39.2 

188.16 

4.29 

41.2 

199.36 

.35 

43.2 

210.56     4.40 

5.8 

37.6 

184.44 

4.35 

39.6 

1%.04 

4.41 

41.6  207.64 

.47 

43.6 

219.24 

4.53 

6.0 
6.2 

38.0 
38.4 

192.00 
199.64 

4.47 
4.59 

40.0  204.00 
40.4  :212.04 

4.64 
4.66 

42.0  216.00 
42.4  224.44 

.60 
.72 

44.0 
44.4 

228.00     4.66 
236.841    4.78 

6.4 

38.8 

207.36 

4.70 

40.8  220.16 

4.78 

42.8 

232.% 

4.84 

44.8 

245.76     4.90 

6.6 

39.2 

215.  16 

4.82 

41.2  228.36   4.89 

43.2 

241.56 

4.96 

46.2 

254.76     6.03 

6.8 

39.6 

223.04 

4.93 

41.6  236.64 

5.01 

43.6 

250.24 

5.08 

45.6 

263.84     5.15 

7.0 

40 

231.00 

5.04 

42      1245.00 

5.10 

44 

259.00 

5.20 

46 

273.00     5.27 

7.5 

41 

251.25 

5.32 

43      |266.25 

5.41 

46 

281.25 

5.49 

47 

2%.  25  ;  6.57 

8.0 

42 

272.00 

5.59 

44      J28S.OO 

5.69 

46 

304.00  5.78 

48 

320.00     5.86 

8.5 

43 

293.25 

5.86 

45      J310.25 

5,96 

47 

327.25  6.06 

49 

344.25     6.14 

9.0 

44 

315.00 

6.12 

46      J333.00 

6.23 

48 

351.00  6.33 

50 

369.00     6.42 

9.5 

45 

337.25 

6.38 

47       356.25 

6.49 

49 

375.25  6.60 

51 

394.25 

6.70 

1O.O 

46 

360.00 

6.63 

48      ^380.00 

6.75 

50 

400.00;  6.86 

62 

420.00 

6.97 

10.5 

47 

383.25 

6.88 

49       404.25 

7.00 

51 

425.25!  7.12 

53 

446.25 

7.23 

11 

48 

407 

7.13 

50      429 

7.26 

52 

451 

7.38 

54 

473 

7.49 

12 

50 

456 

7.61 

62       480 

7.75 

54 

504 

7.88 

56 

528 

8.01 

13 

52 

507 

8.08 

64       633 

8.23 

56 

559 

8.37 

58 

585 

8.51 

HYDRAULIC    AND   EXCAVATION    TABLK&. 

Table  16.— Area  in  square  feet,  A,  top  zvidth  in  feet,  F, 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels^ 

side  slopes  1  to  1— Continued. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

35  feet 

40  feet 

45  feet 

50  feet 

1 

T 

A 

if 

.- 

A 

area 
wet  per. 

T 

A 

area 
wet  per. 

T 

A 

if 

[ 

ii 

ii 

It 

. 

l.O 

37.0 

36.00 

95 

42.0 

41.00 

.% 

47.0 

46.00 

% 

58.0  1  51.00 

.97 

1.3 

37.4 

43.44 

l.lfl 

42.4 

49.44 

1.14 

47.4 

5544 

1J.5 

52.4      61.44 

1.15 

J.4 

37.8 

50.% 

1.31 

42.8 

57.96 

182 

47.8 

64% 

1.33 

52.8  1  71.90 

1.33 

1.6 

38.2 

58.56 

1.48 

43.2 

66.56 

1.49 

48.2 

74.56!  1.50 

53.2      82.56 

1.51 

1.8 

38.6 

66.24 

1.65 

43.6 

75.24 

1.67 

48.6 

84.24 

1.68 

53.6 

9324 

1.69 

2.0 

89.0 

74.00 

1.82 

44.0 

84.00 

1.84 

49.0 

94.00 

1.86 

54.0 

104.00 

1.87 

2.3 

39.4 

81.84 

1.99 

44.4 

92.84 

2.01 

49.4 

103.84 

2.03 

54.4 

114.84 

2.04 

3.4 

39.8 

89.76 

2.15 

44.8 

101.76 

2.17 

49.8 

113.70 

2.20 

54.8 

125.76 

2.21 

2.6 

40.2 

97.76 

2.31 

45.2 

11076 

234 

50.2 

123.76 

2.36 

55.2 

136.76 

2.38 

2.8 

40.6 

105.84  i  2.47 

45.6 

119.84 

2.50 

50.6 

133.84 

2.53 

55.6 

147.84 

2.55 

3.0 

41.0 

114.00 

2.02 

46.0 

129.00 

2.G6 

51.0 

144.00 

2.69 

56.0 

159.00 

2.72 

3.3 

41.4 

122.24 

2.78 

40.4 

138.24 

2.82 

51.4 

15424    2.85 

56.4 

170.24 

2.88 

3.4 

41.8 

130.50 

2.93 

46.8 

147.56 

2.97 

51.8 

10450   3.01 

56.8 

181.50 

3.05 

3.6 

42.2 

138.% 

3.08 

47.2 

156.% 

3.13 

52.2 

174% 

3.17 

57.2 

192.96 

3.21 

3.8 

42.6 

147.44   3.22 

47.6 

166.44 

3.28 

52.6 

185.44 

3.33 

57.6 

204.44 

3.36 

4.O 

43.0 

156.00 

3.37 

48.0 

176.00 

3.43 

53.0 

196.00 

3.48 

58.0 

216.00 

3.52 

4.3 

43.4 

10-4.64 

3.51 

48.4 

185.64 

3.58 

53.4 

206.64 

3.03 

58.4 

227.04 

368 

4.4 

43.8 

173.36 

3.05 

48.8 

195.86 

3.73 

53.8 

217.36 

3.78 

58.8 

239.36 

883 

4.6 

44.2 

182.161  3.79 

492 

205.16 

3.87 

542 

228.16 

3.93 

59.2 

251.16 

3.99 

4.8 

44.6 

191.04 

3.93 

49.6 

215.04 

4.01 

54.6 

239.04 

4.08 

59.6 

263.04 

4.14 

5.0 

45.0 

200.00 

4.07 

50.0 

225.00 

4.16 

55.0 

250.00 

4.23 

60.0 

275.00 

4.29 

5.3 

45.4 

•209.  u  4 

4.20 

50.4 

235.04 

4.30 

55.4 

261.04 

4.37 

60.4 

287.04 

4.44 

5.4 

45.8 

218.16 

4.34 

50.8 

245.16 

4.43 

55.8 

272.16 

4.52 

60.8 

299.10 

4.58 

5.6 

46.2 

227.36 

4.47 

51.2 

255.36 

4.57 

56.2 

283.36 

4.65 

61.2 

311.86 

4.73 

5.8 

46.6 

236.64 

4.60 

51.6 

265.64 

4.71 

56.6 

294.64 

4.80 

61.6 

323  .04 

4.87 

6.O 

47.0 

246.00 

4.73 

52.0 

276.00 

4.84 

57.0 

306.00 

4.94 

62.0 

336.00 

5.02 

6.3 

47.4 

255.441  4.86 

52.4 

286.41 

4.98 

57.4 

317.44 

5.07 

62.4 

3i8.44 

5.16 

6.4 

47.8 

264.% 

4.99 

52.8 

296.95!  5.11 

57.8 

328.96 

5.21 

62.8 

350.% 

5.30 

6.6 

48.2 

274.56 

5.12 

53.2 

307.56   5.24 

58.2 

340.56 

5.35 

63.2 

373.56 

5.44 

6.8 

48.6 

284.24 

6.24 

53.6 

818.24 

5.37 

58.6 

352.24 

5.48 

63.6 

386.24 

5.58 

7.O 

49 

29400 

5.36 

54 

329.00 

5.50 

59 

364.00 

5.62 

64 

399.00 

5.72 

7.5 

50 

318.75!  5.67 

55 

356.25 

5.83 

60 

393.75 

5.9o 

65 

431.2o 

6.06- 

8.O 

51 

344.00 

5.97 

56 

381.00 

6.13 

61 

424.00 

627 

66 

461.00 

6.39 

8.5 

52 

369.75 

6.26 

57 

412.25 

6.44 

02 

454.75 

6.59 

67 

497.25 

6.72 

D.O 

53 

3%.00 

6.55 

58 

441.00 

6.74 

63 

486.00 

6.90 

68     !  531.00   7.04 

0.5 

54 

422.75 

6.83 

59 

47025 

7.03 

64 

517.75 

7.20 

69      1565.25 

7.35 

10.0 

55 

450.00 

7.11 

60 

500.00 

7.32 

65 

550.00 

7.50 

70       600.00 

7.66 

10.5 

56 

477.75 

7.38 

61      j  530.25 

7.61 

66 

582.75 

7.  80 

71       635.25 

7.97 

11 

57 

506 

7.65 

62       561 

7.89 

67 

616 

8.09 

72      (671 

8.27 

13 

69 

564 

8.18 

64      624 

8.44 

69 

684 

867 

74      i74t 

8.86 

13 

61 

624 

8.70 

66      ,689 

8.97 

71 

751 

9.22 

76      |819 

$.44_ 

HYDIiAULIC   AND  EXCAVATION    TABLES. 


Table  17.— Area  in  square  feet,  A,  top  width  in  feet,  7*,  and 

hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

side  slopes  1>£  to  1. 


Bottom  width 

Bottom,  width 

Bottom  width 

Bottom  width 

2  feet 

3  feet 

4  feet 

5  feet 

• 

u 

1 

T 

A 

g  i 

V 

T 

A 

area 
wet  pe 

T 

A 

s  I 

T 

A 

area 
wet  pei 

II 

II 

I! 

V 

V. 

0.4 

32 

1.04 

.30 

42 

144 

.32 

5.2 

184 

.34 

6.2 

2.24 

.35 

O.6 

38 

1.74 

.42 

48 

234 

4"> 

5.8 

294 

.48 

6.8 

3.54 

.49 

0.8 

4.4 

2.56 

.52 

5.4 

3.36 

.57 

6.4 

4.16 

.60 

7.4 

4.96 

.63 

1.0 

50 

3.50 

.62 

60 

450 

.68 

70 

550 

.72 

8.0 

6.50 

.76 

1.2 

f».6 

4.56 

.72 

66 

576 

.79 

76 

696 

.84 

8.6 

8.16 

.87 

1.4 

62 

5.74 

.81 

7.2 

714 

.89 

82 

8.54 

.94 

92 

9.94 

.99 

1.6 

68 

7.04 

.91 

78 

864 

.99 

88 

10  24 

104 

9.8 

11.84 

1.10 

1.8 

7.4 

8.46 

1.00 

8.4 

10.26    1.08 

9.4 

12.06 

1.15 

10.4 

13.86 

1.21 

2.O 

80 

1000 

109 

90 

12.00   1.18 

100 

1400 

1.25 

110 

1600 

1.31 

2.2 

86 

11.66 

117 

9.6 

1386   1.27 

106 

16.06 

1.35 

11.6 

1826 

1.41 

2.4 

92 

13.44 

1.26 

10.2 

1584    1.36 

112 

1824 

144 

122 

2064 

151 

2.6 

98 

1534 

135 

10.8 

1794   1.45 

118 

20.54 

154 

12.8 

23.14 

1.61 

2.8 

10.4 

17.36 

1.44 

11.4 

20.16 

1.54 

12.4 

22.96 

1.63 

13.4 

25.76 

1.71 

3.0 

11.0 

1950 

1.52 

12.0 

2250 

163 

130 

25.50 

1.72 

14.0 

28.50 

180 

3.2 

116 

2176 

l.'l 

126 

2493   1.72 

136 

2816 

1.81 

146 

3136 

1.90 

3.4 

122 

2414 

lf.9 

132 

2754    180 

142 

3J94 

1.90 

152 

34.34 

1.99 

3.6 

128 

26.64 

1.78 

138 

3D2l|  189 

148 

3384 

1.99 

15.8 

37.44 

2.08 

3.8 

13.4 

29.26 

1.83 

14.4 

33.06   1.98 

15.4 

36.83 

2.08 

18.4 

40.66 

2.17 

4.0 

14.0 

32.00 

195 

150 

36.00  2.07 

160 

40.00 

2.17 

17.0 

44.00 

2.27 

t.2 

11.6 

3186 

203 

15.6 

3906   2.15 

166 

43.26 

226 

17.6 

47.46 

2.  30 

4.4 

152 

£7.81 

212 

162 

4224 

224 

172 

46.61 

2.35 

18.2 

51.01 

2.45 

4.6 

4094 

2.20 

168 

4554 

232 

17.8 

5014 

241 

18.8 

54.74 

2.54 

4.8 

16^4 

44.10 

2.29 

17.4 

48.96 

2,11 

18.4 

53.76 

2.52 

19.4 

58.56 

2.62 

5.O 

17.0 

47.50 

2.37 

180 

52.50 

2.50 

190 

57.50 

2.61 

20.0 

62.50 

2.72 

5.2 

17.6 

50.95 

2.45 

18  i> 

5>.16 

2.58 

!.).(> 

61.36 

2.<9 

20.6 

66.56 

2.80 

5.4 

182 

54.51 

2.54 

192 

59.94 

2.65 

20.2 

65.34 

2.78 

21.2 

70.74 

2.89 

5.6 

188 

58.24 

2   2 

C.381 

275 

20.8 

69.44 

287 

'21.8 

75.01 

2.97 

6.8 

19.4 

62.03 

2.70 

20.4 

67.83 

2.83 

21.4 

73.66 

2.95 

22.4 

79.46 

3.06 

6.O 

20.0 

66.00 

2.79 

210 

72.00 

2.92 

220 

78.00 

3.01 

23.0 

84.00 

3.15 

6.2 

20.6 

700 

287 

21.6 

76.26 

3.00 

'226 

82.46 

312 

23.6 

88.66 

3.23 

6.4 

212 

74.21 

295 

222 

80.64 

308 

232 

87.04 

320 

21.2 

93.44 

3.32 

6.6 

21.8 

78.51 

303 

228 

85.14 

3.17 

23.8 

91.74 

329 

21.8 

98.34 

3.40 

6.8 

22.4 

82.93 

3.12 

23.4 

89.76 

3.25 

24.4 

96.55 

337 

25.4 

103.38 

3.49 

24.0 

94.50 

3.35 

25.0 

101.50 

3.47 

2".0    108.50 

3.59 

7!s 

25.5 

106^88 

3.53 

26.5 

LI  1.38 

3.C& 

27J5    vn  SK 

3.80 

8.0 

270 

1°000 

3.77 

28.0 

128.ro 

3.90 

13600 

4.02 

8.5 

28.5 

[33.38 

3.18 

29.5 

[42.38 

4.11 

30^5    Tsns« 

4.23 

9.0 

30.0 

148.50 

4.19 

31.0 

1  57  50 

4.32 

32.0 

16"-.50 

4.45 

9.5 

32  5 

173.38 

4.53 

OO.5 

182.88 

4.66 

1O 

31  o 

190  00 

4.74 

35.0 

20000 

d  R7 

11 

37^0 

225.50 

5.16 

38.0 

236.50  5.29 

:tt*BiUULJC   AND  EXCAVATION    TABLED. 


Table  17.— Area  in  square  feet,  A,  top  width  in  feet,  T,  and 

hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

side  slopes  lj^  to  1 — Continued. 


:   Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

6  feet 

7  feet 

8  feet 

9  feet 

| 

~ 

.. 

3 

8      £ 

«    £ 

g    £ 

g      8 

fr. 

T 

A 

*     | 

T 

A 

«    | 

T 

A 

*     I 

T 

A 

«  || 

II 

|| 

II 

If: 

^ 

V 

*> 

k 

O.4 

7.2 

2.64 

.36 

8.2 

3.04 

.36 

9.2 

3J4 

.36 

10.2 

884 

.37 

O.6 

7.8 

4.14 

.51 

*.S 

4.74 

.52 

9.8 

5.34 

.08 

10.8 

5.94 

.58 

08 

8.4 

5.76 

.65 

9.4 

6.56 

.66 

10.4 

7.36 

.68 

11.4 

8.16 

.69 

1.0 

9.0 

7.50 

.78 

10.0 

8.50 

.80 

11.0 

9.50 

.82 

12.0 

10.50 

8$ 

1JB 

9.6 

9.36 

.91 

10.6 

10.56 

.93 

11.6 

11.76 

.95 

12.6 

12.% 

'.97 

1.4 

10.2 

11.34 

1.03 

11.2 

12.74 

1.06 

12.2 

14.14 

1.08 

13.2 

15.54 

l.ll 

1.6 

10.8 

13.44 

1.15 

11.8 

15.04 

1.18 

12.8 

16.64 

1.21 

13.8 

1H.24 

1.28 

11.4 

15.66 

1.25 

12.4 

17.46 

1.29 

13.4 

19.26 

1.33 

14.4 

21.06 

1.36 

2.O 

12.0 

18.00 

1.36 

13.0 

20.00 

1.41 

14.0 

22.00 

1.45 

15.0 

24.00 

1.48 

2.2 

12.6 

20.46 

1.47 

13.6 

22.66 

1.52 

14.6 

•  24.86 

1.56 

15.6 

27.06 

1.60 

2.4 

13.2 

23.04 

1.57 

14.2 

25.44 

1.63 

15.2 

27.84 

1.67 

16.2 

30.24 

1.71 

3.6 

18.8 

25.74)  1.67 

14.8 

2S.34 

1.78 

15.8 

30*94 

1.78 

16.8 

33.54 

1.85 

2,8 

14.4 

28.66  i  1.77 

15.4 

31.36 

1M 

16.4 

31.16 

1.89 

17.4 

36.96 

1.94 

3.0 

15.0 

81.  50  1  1.87 

16.0 

31.50 

1.94 

17.0 

37.50 

1.99 

18.0 

40.50 

2.04 

3.2 

16.6 

34.56:  1.97 

16.6 

37.76 

2.04 

17.6 

40.96 

2.10 

18.6 

44.16 

2.15 

3.4 

16.2 

37.741  2.07 

17.2 

41.14 

2.14 

1S.2 

44.54 

2.20 

19.2 

47.94 

2.25 

3.6 

16.8 

41.04]  2.16 

17.8 

4464 

2.23 

18.8 

48.24 

2.30 

19.8 

'51.84 

236 

3.8 

17.4 

44.46!  2.26 

18.4 

48.26 

2.33 

19.4 

52.06 

2.40 

20.4 

55.86 

2.4& 

4.0 

18.0 

48.00 

2.35 

19.0 

52.00 

2.43 

20.0 

56.00 

2.50 

21.0 

60.00 

2.56 

1,2 

18.6 

51.66 

2.44 

19.6 

55.86 

2.r>2 

20.6 

60.06 

2.59 

21.6 

64.26 

2.66 

4.4 

19.2 

55.44 

2.53 

20.2 

59.84 

2.fi2 

21.2 

64.24 

2.fi9 

22.2 

68.64 

2.76 

4.6 

19.8 

59.34 

2.63 

20.8 

63.94 

2.71 

21.8 

68.54 

2.79 

22.8 

73.14 

2.86 

4.8 

20.4 

63.36 

2.72 

21.4 

68.16 

2.80 

22.4 

72.96 

2.88 

23.4 

77.76 

2.96 

5.0 

21.0 

67.50 

2.81 

22.0 

72.50 

2.90 

23.0 

77.50 

2.98 

24.0 

82.50 

3.05 

5J8 

21.6 

71.76 

2.90 

22.6 

76.96 

2.99 

236 

82.16 

3.07 

246 

8736   3.14 

5.4 

22.2 

76.14 

2.99 

23.2 

81.54 

3.08 

24.2 

86.94 

3.16 

25.2 

9234   324 

5.0 

22.8 

80.64 

3.07 

23.8 

86.24 

317 

248 

91.84 

325 

258 

97.44    333 

5.8 

23.4 

85.26 

3.16 

24.4 

91.06 

3.25 

25.4 

96.86 

3.34 

26.4 

102.66   342 

6.0 

24.0 

90.00 

3.26 

25.0 

96.00 

335 

260 

102.00 

3.44 

27.0 

10800   352 

6.2 

246 

9486 

3.3  J 

256  (101.06 

3.43 

266 

107.26 

3.53 

27.6 

11346   360 

6.4 

252 

9y.8i 

342 

262    10624 

352 

272 

112.64 

362 

28.2 

11.».04    370 

6.6 

258 

104!94 

3.51 

26.8 

111.54 

3.61 

278 

11814 

3.71 

28.8 

124.74   379 

26.4 

110.16 

3.60 

27.4 

116.96 

3.70 

28.4 

123.76 

3.80 

29.4 

130.56   3.89 

7;0 

27.0 

115  50  i  3.70 

28.0 

122.50 

380 

23.0 

120.50 

3.90 

30.0 

136.50   3.99 

7.5 

28.5 

129.38;  3.92 

29.5 

136.88 

4.02 

30.5 

144.38 

4.12 

31.5 

151.88   4.21 

8.0 

30.0 

144.00 

4.13 

31.0 

152.00 

424 

32.0 

16000 

4.34 

330 

168.00   4.44 

8.5 

31.6 

15J.38 

4.35 

32.5 

167.88 

4.46 

h3.5 

176.38 

4.56 

34.5 

184.88    4.G6 

O.O 

33.0 

175.50 

4.56 

34.0 

184.50 

468 

35.0 

193.50 

478 

36.0 

20250   489 

0.5 

84.5 

192.38 

4.78 

35.5 

201.b8 

4.8J 

36.5 

211.38 

5.00 

87.5 

22088   5.11 

1 

10 

86.0 

210.00 

4.99 

37.0 

220.01 

5.11 

38.0 

23000 

5.22 

39.0 

240.00   533 

11 

89.0 

2i7.50 

5.42 

40.0 

258.50 

6.54 

41.0 

26J.50 

5.65 

42.0 

280.50  5.76 

0202  °— 17- 


HYDRAULIC    AND  EXCAVATION    TABLK8. 


Tal»le  17.  —  Area  in  square  feet,  A,  top  width  in  feet,   7",  and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 


side  slopes 


to  1—  Continued. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

10  feet. 

12  feet 

14  feet 

16  feet 

3 

1 

r 

A 

area 

wet  per. 

T 

A 

J  & 

HI 

T 

A 

area 
wet  per. 

r 

A 

area 
wet  per.  ' 

II 

!! 

!! 

II 

k 

k 

K 

•  ^ 

1.0 

13.0 

11.50 

.85 

15.0 

13.50 

.87 

17.0 

15.50 

.88 

19.0 

17.50 

.89 

1.8 

13.6 

14.16 

.99 

15.6 

16.56 

1.01 

17.6 

18.% 

1.03 

19.6 

21.36 

1.05 

1.4 

14.2 

16.94 

1.13 

16.2 

19.74 

1.16 

18.2 

22.64 

1.18 

20.2 

25.34 

1.20 

1.6 

14.8 

19.84 

1.26 

16.8 

23.04 

1.30 

18.8 

26.24 

1.33 

20.8 

29.44 

1.35 

1.8 

15.4 

22.86'  1-39 

17.4 

26.46 

1.48. 

19.4 

30.06 

1.47 

21.4 

83.66 

1.50 

«.O 

16.0 

26.00   1.51 

18.0 

80.00 

1.56 

20.0 

34.00 

1.60 

22.0 

88.00 

1.64 

S.« 

16.6 

29.26,  1.63 

18.6 

33.66 

1.69 

20.6 

38.06 

1.74 

22.6 

42.46 

1.77 

2.4 

17.2 

82.64 

1.75 

19.2 

87.44 

1.81 

21.2 

42.24 

1.86 

23.2 

47.04 

1.91 

*4.6 

17.8 

36.14 

1.87 

19.8 

41.34 

1.93 

21.8 

46.54 

1.99 

23.8 

51.74 

2.04 

3.8 

18.4 

39.76 

1.98 

20.4 

45.36 

2.05 

22.4 

50.96 

2.11 

24.4 

66.56 

2.17 

3.O 

19.0 

43.50 

2.09 

21.0 

49.50 

2.17 

28:0 

55.50 

2.24 

25.0 

61.50 

3.29 

3.2 

19.6 

47.36  i  2.20 

21.6 

53.76 

2.28 

23.6 

60.16 

2.36 

25.6 

66.56 

2.42 

3.4 

20.2 

51.34|  2.31 

22.2 

53.14 

2.40 

24.2 

64  .9i 

2,47 

26.2 

71.74 

2.54 

3.6 

20.8 

55.441  2.41 

22.8 

62.64 

2.51 

24.8 

69.8-1 

2.59 

26.8 

77.04 

2.66 

3.8 

21.4 

59.66 

2.52 

23.4 

67.26 

2.62 

25.4 

74.86 

2.70 

27.4 

82.46 

2.78 

4.O 

22.0 

64.00 

2.62 

24.0 

72.00 

2.73 

26.0 

80.00 

2.81 

28.0 

88.00 

2.89 

4.55 

22.6 

68.46 

2.72 

24.6 

76.86 

2.83 

28  JJ 

85.26 

2.92 

28.6 

93.66 

3.01 

4.4 

23.2 

73.04 

2.82 

25.2 

81.84 

2.94 

27.2 

90.64 

3.03 

29.2 

99.44 

3.12 

4.6 

23.8 

77.74 

2.92 

25.8 

86.94 

3.04 

27.8 

96.14 

3.14 

29.8 

105.34 

3.23 

4.8 

24.4 

82.56 

3.02 

26.4 

92.16 

3.14 

28.4 

101.76 

3.25 

30.4 

111.86 

3.34 

A.O 

25.0 

87.50 

3.12 

27.0 

97.50 

3.25 

29.0 

107.50 

3.36 

31.0 

117.50 

3.45 

5.58 

25.6 

9-2.56 

3.22 

27.6 

102.96 

3.:;5 

29.6 

113.36 

3.46 

31.6 

123.76 

3.56 

5.4 

26.2 

97.74 

3.31 

28.2 

108.54 

3.45 

30.2 

119.34 

3.56 

32.2 

130.14 

3.67 

5.6 

26.8 

108.04 

3.41 

28.8 

114.24 

3.55 

30.8 

125.44 

3.66 

32.8 

136.64 

3.77 

.5.8 

27.4 

108.46 

3.50 

29.4 

120.06 

3.64 

31.4 

131.66 

3.77 

33.4 

143.26 

3.88 

O.O 

28.0 

114.00 

3.60 

30.0 

126.00 

3.75 

32.0 

138.00 

3.87 

31.0 

150.00 

3.99 

«>.3 

28.6 

119.66 

3.69 

30.6 

132.06 

3.84 

32.6 

144.46 

3.97 

34.6 

156.86!  4.09  . 

6.4 

29.2 

125.44 

3.79 

31.2 

13S.24 

3.91 

33.2 

151.04 

4.07 

35.2 

163.84 

4.19 

<J.6* 

29.8 

131.34 

3.88 

31.8 

144.54 

4.03 

33.8 

157.74 

4.17 

35.8 

170.94 

4.29 

«.8 

80.4 

137.36 

3.98 

32.4 

150.% 

4.13 

34.4 

164.56 

4.27 

36.4 

178.16 

4.39 

7.O 

31.0 

143.50 

4.07 

33.0 

157.50 

4.23 

35.0 

171.50 

4.37 

37.0 

185.50 

4.50 

7.5 

32.5 

159.38 

4.30 

34.5 

17-1.88 

4.47 

36.5 

189.38 

4.61 

38.5 

204.38 

4.75 

x.o 

34.0 

176.00 

4.53 

36.0 

192.00 

4.70 

38.0 

208.00 

4.85 

40.0 

224.00 

4.99 

X.5 

35.5 

193.38 

4.76 

37.5 

210.88 

4.93 

39.5 

227.38 

5.09 

41.5 

244.38 

5.24 

9.O 

37.0 

211.50 

4.98 

39.0 

229.50 

5.16 

41.0 

247.50 

5.33 

43.0 

265.50 

5.48 

!».5 

38.6 

230.38 

5.21 

40.5 

249.38 

5.39 

•12.5 

268.38 

5.56 

44.5 

287.38 

5.72 

1O.O 

40.0 

250.00 

5.43 

42.0 

270.00 

5.62 

44.0  1290.00 

5.79 

46.0 

310.00 

5.96 

10.5 

41.5 

270.38 

5.65 

43.5 

291.38 

5.84 

45.5  J312.38 

6.02 

47.5 

383.38 

6.19 

1  1 

43 

291.6 

5.87 

45 

313.5  i  6.07 

47      1335.5 

6.25 

49 

357.5 

6.4-' 

1'J 

46 

336.0 

6.31 

48 

360.0  i  6.51 

50      1384.0 

6.70 

52 

408.0 

6.88 

J.i 

49 

383.5 

6.74 

51 

409.5  I  6.95 

53      -435.5 

7.15 

55 

461.5 

7.34 

HYDRAULIC    AND  EXCAVATION    TABLES. 


17. — Area   in  square  feet,   A,   top  width   in  feet, 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channel.?, 

side  slopes  IX  to  1— Continued. 


T, 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

18  feet 

20  feet 

22  feet 

'  24  feet 

J3 

t\i 

t\i 

||| 

g|i 

T 

A 

",4-1 
1* 

T 

.4 

% 

r 

A 

T 

A 

1! 

i 

I 

i 

1.0 

21.0 

19.50 

.90 

23.0 

21.50 

.91 

25.0 

23.50 

.92 

27.0 

25.50 

.92 

1.2 

23.  76 

1.06 

23.  6 

26.  lo 

1.08 

25.6 

28.56 

1.08 

27.6 

30.96 

1.09 

1.4 

22^2 

28.14 

1.  22 

24.2 

30.  94 

1.24 

26.2 

33.74 

1.24 

28.2 

36.54 

1.26 

1.6 

22.8 

32.6-4 

1.37 

24.8 

35.  Si 

1.39 

26.8 

39.04 

1.40 

28.8 

42.24 

1.42 

1.8 

23.4 

37.  2u 

1.52 

25.4 

40.86 

1.54 

27.4 

44.46 

1.56 

29.4 

48.06 

1.58 

2.0 

24.0 

42.00 

1.67 

26.0 

46.00 

1.69 

28.0 

60.00 

1.71 

30.0 

54.00 

1.73 

2.2 

24.6 

46.  88 

1.81 

26.6 

51.26'  1.S4 

28.6 

55.66 

1.86 

30.6  i  60.08 

1.88 

2.4 

25.2 

51.84 

1.94 

27.2 

50.64.!  1.98 

29,2 

61.44 

2.00 

31.2 

66.24 

2.03 

2.6 

25.  S 

5t5.  94 

2.08 

27.8 

62.14   2.12 

29.8 

67.  34 

2.15 

31.8 

72.54 

2.17 

3.8 

26.4 

62.16 

2.21 

28.4 

67.76;  2.25 

30.4  j  73.36 

2.29 

32.4 

78.96 

2.32 

3.0 

27.0 

67.  50 

2.  «4 

29.0 

73.50  2.38 

31.0 

79.50 

2.42 

33.0 

85.50 

2.46 

3.2 

27.6 

72.  W 

2.47 

29.6 

79.36   2.52 

31.6 

85.76 

2.56 

33.6 

92.18 

2.59 

3.4 

28.2 

7S.54   2.60 

30.2 

85.34   2.65 

32.2 

92.  14 

2.69 

34.2 

98.94 

2.73 

3.6 

28.8 

84.  24   2.  72 

30.  8 

91.44   2.77 

32.8     98.64 

2,82 

34,8 

106.841    2.86 

3.8 

29.4 

80.03   2.84 

31.4 

97.66  2.90 

33.4 

105.26 

2,95 

35.4 

112.86     2.99 

4.0 

30.0 

96.00!  2.96 

32.0 

104.00!  3.02 

34.0 

112.00 

3.08 

36.0 

120.00!    3.12 

4.2 

30.6 

102.06;  3.08 

32.6 

110.46!  3.14 

34.6  118.86 

3.20 

36.6 

127.26 

3.25 

4.4 

31.2 

JOs.  24!  3.20 

33.2  1  117.  Oi!  3.26 

35.2  j  125.  84 

3.32 

37.2 

134.64 

3.38 

4.6 

31.8 

114.54!  3.31 

33.8   123.741  3.38 

35.8  1132.94 

3.44 

37.8  (142.14 

3.50 

4.8 

32.4 

120.96   3.43 

34.4 

130.50  3.50 

36.4  140.16 

3.56 

38.4 

149.76 

3.63 

5.O 

33.0 

127.50;  3.54 

35.0 

137.50  3.62 

37.0  147.50 

3.68 

39.0 

157.50 

3.75 

5.2 

33.6 

134.16;  3.65 

35.6   144.56 

3.73 

37.6   154.96 

3.80 

39.6   165.36 

3.87 

5.4 

34.2 

1:0.94    3.76 

36.2 

151.74 

3.84 

38.2  1162.54   3.92 

40.2   173.34 

3.99 

5.6 

34.  8|  147.84!  3.87 

36.8 

159.04 

3.95 

38.8 

170.24  4.03 

40.8 

181.44 

4.11 

0.8 

35.4   154.  »> 

3.97 

37.4 

166.46 

4.05 

39.4 

178.06  4.15 

41.4 

189.  66 

4.22 

6.O 

36.0  J162.00 

4.09 

38.0 

174.00 

4.18 

40.0 

186.00  4.26 

42.0 

198.00 

4.34 

6.2 

36.6  169:28'  4.17 

;;s.  6 

181.66  4.27 

40.6 

194.  061,  4.38 

42.6   208.48 

4.45 

6.4 

37.2  il7C.fi4   4.27 

35).  2 

189.44 

4.37 

41.2 

202.  24i  4.  49 

43.2 

215.04 

4.57 

6.6 

6.8 

37.8  llS4.ll'  4.37 
38.4  U91.76(  4.47 

39.8 
40.4 

197.34 
205.36 

4.47 
4.57 

41.8 
42.4 

210.54 
218.96 

4.60 
4.71 

43.8 
44.4 

223.74 
232.58 

4.68 
4.79 

7.0 

39.0  |199.r>0  4.61 

41.0 

213.  50 

4.72 

43.0 

227.50 

4.82 

45.0 

241.50 

4.90 

7.5 

40.5  J219.38  4.  87 

42.5 

234.38 

4.98 

44.5 

249.38 

5.08 

46.5 

264.38 

5.18 

S.O 

42.0  i  240.  00   5.12 

44.0 

256.  00 

5.24 

46.0 

272.00 

5.35 

48.0 

288.00 

5.45 

8.5 

43.5 

201.38   5.37 

45.5 

278.38 

5.50 

47.5  295.38 

5.61 

49.5 

312.  38j    5.72 

9.O 

45.0 

283.50   5.62 

47.0 

301.50 

5.75 

49.0  1319.50 

5.87 

51.0 

337.501    5.98 

9.5 

46.5 

306.38  5.86 

48.5 

325.38  6.00 

50.5  1344.38 

6.12 

52.5 

363.38 

6.24 

1O.O 

48.0 

330.00  6.10 

50.0 

350.00  6.24 

52.0  1370.00 

6.37 

54.0 

390.00 

6.49 

10.5 

49.6 

354.38   6.34 

51.5 

375.38 

6.49 

53.5  396.38 

6.62 

55.5 

417.38 

6.75 

11 

61 

379.5     6.58 

53 

401.5 

6.73 

55 

423.5 

6.87 

67 

445.5 

7.00 

13 

54 

432.0  i  7.05 

56      1  456.0 

7.21 

58       480.  0 

7.35 

60 

504.0 

7.49 

13 

57 

487.5  !  7.61 

59       513.5 

7.68 

61       539.  5 

7.  So 

63      1565.6 

7.88 

HYDRAULIC   AND  EXCAVATION   TABLES. 


Table    17. — Area  in  square  feet,  A,   top  -width  in  feet,   T,  and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

side  slopes  IK  to  1— Continued. 


Bottpm  width 

Bottom  width 

Bottom  width 

Bottom  width 

26  feet 

28  feet 

30  feet 

33  feet 

1 

r 

A 

if 

r 

A 

l| 

T 

.4 

«  tJ 

T 

A 

i  u 

I 

I 

J[ 

r 

w 

l.O 

29.0 

27.50 

.93 

31.0 

29.50 

.93 

33.0 

31.50 

.94 

35.0 

33.50 

.94 

1.2 

29.6 

33.36 

1.10 

31.6 

35.76 

.11 

33.6 

38.  16 

1.11 

35.6 

40.66 

1.12 

1.4 

30.2 

39.34 

1.27 

32.2 

42.14 

.28 

34.2 

44.94 

1.28 

36.2 

47.74 

1.29 

1.6 

'30.8 

45.44 

1.43 

32.8 

48.64 

.44 

34.8 

61.84 

1.45 

36.8 

65.04 

1.46 

1.8 

31.4 

51.66 

1.59 

33.4 

65.26 

.60 

35.4 

68.86  1.61 

37.4 

62.46 

1.62 

2.0 

32.0 

58.00 

1.76 

34.0 

62.00 

.76 

36.0 

66.001  1.77 

38.0 

70.00 

1.78 

2.2 

.32.6 

64.46 

1.90 

34.5 

68.86 

.92 

36.6 

73.26J  1.93 

38.6 

77.66 

1.94 

2.4 

33.2 

71.04 

2.05 

36.2 

75.84!  2.07 

37.2 

80.64  2.09 

39.2 

85.44 

2.10 

2.6 

33.8 

77.74 

2.20 

35.8 

82.94!  2.22 

37.8 

8^.14  2.24 

39.8 

93.34 

2.25 

2.8 

34.4 

84.56 

2.34 

36.4 

90.16J  2.37 

38.4 

95,73!  2.39 

40.4 

101.36 

2.41 

3.0 

35.0 

91.60 

2.48 

370 

97.5(J  2.51 

39.0 

103.50;  2.54 

41.0 

109.60 

2.66 

3.2 

35.6 

98.56 

2.62 

37.6  104.96!  2.  ft 

39.6 

111.36  2.68 

41.6 

117.76 

2.70 

3.4 

36.2 

105.74 

2.76 

38.2  112.64  2.70 

40.2 

119.34   2.82 

42.2 

126.  14 

2.  as 

3.6 

36.8 

113.04 

2.90 

38.8   120.241  2,93 

40.8 

127.44  2.97 

42.8 

134.64 

2.D9 

3.8 

37.4   120.46 

3.03 

39,4  ,128.06  3.07 

41.4 

135.66  3.10 

43.4 

143.26 

3.13 

4.0 

38.0 

128.00 

3.17 

40.0  136.001  3.21 

42.0 

144.00!  3.24 

44.0 

162.00 

3.27 

4.2 

38.6  1135.66 

3.30 

40.6 

144.06!  3.34 

42.6 

152.46J  3.38 

44.6 

160.86 

3.41 

4.4 

39.2  1143.44 

3.43 

41.2 

152.241  3.47 

43.2 

lf.i  C4.  3.51 

45.2   169.84 

3.55 

4.6 

39.8   151.34 

3.65 

41.8 

160.  54 

3.60 

43.8 

169.74'  3.6i 

45.8  1178.94 

3.6S 

4.8 

'40.4 

159.36 

3.68 

42.4 

168.96 

3.73 

44.4 

178.66,  3.77 

46.4  188.16 

3.82 

5.0 
5.2 

41.0 
41.6 

167.60 
175.76 

3.80 
3.93 

43.0 
43.6 

177.50 
186.  16 

3.86 
3.98 

45.0 
45.6 

187.50|  3.90 
196.  561  4.03 

47.0  197.501    3.95 
47.0   206.96!    4.08 

5.4 

42.2   184.14  4.05 

44.  2 

194.94 

4.11 

46.2 

205.74!  4.  lt> 

48.2  i  216.  54J,    4.21 

5.6 

42.8   192.641  4.17 

44.8 

203.84 

4.23 

46.8 

215.04   4.28 

48.8  228.241     4.33 

5.8 

43.4 

201.26  4.29 

45.4 

212.86 

4.35 

47.4  224.  46|  4.41 

49.4 

236.061    4.46 

j 

( 

6.0 
6.2 

440 
44.6 

210.00  4.41 
2i8.86  4.53 

46.0 
46.6 

222.00  4.47 
231.26   4.59 

48.0  234.00  4.53 
48.6  1243.661  4.65 

50.0  246.001    4.59 
50.6   256.001    4.71 

6.4 

45.2 

227.84  4.64 

47.2 

240.64!  4.71 

49.  2  253.  44  4.  77 

51.2  266.241    4.  S3 

6.6 

45.8 

236.94|  4.76 

47.8 

250.  14 

4.83 

49.8  (263.34 

4.89 

61.  8  1276.  54;    4.% 

6.8 

46.4 

246.16!  4.87 

4S.4 

259.76  4.95 

50.4  273.36 

6.01 

52.4  1286.96]    5.08 

7.0 

47.0 

255.  50J  4.99 

49.0 

269.  6oi  5.06 

51.0  1283.  (50 

5.13 

53.0 

297.  So!    5.20 

7.5 

48.5 

279.38  5.27 

60.5 

294.38   5.35 

52.5  '309.  38 

5.42 

54.5 

324.  38j    5.49 

8.0 

50.0 

304.00  5.54 

62.0 

320.00  5.63 

54.0 

336.00 

5.71 

56.0 

! 
352.00!    6.73 

8.5 

51.5 

329.38  5.81 

63.5 

346.381  6.91 

55.5  363.38 

5.99 

57.5 

380.38 

6.07 

9.0 

53.0 

3.55.50  6.08 

55.0 

373.50  6.18 

57.0  391.50 

6.27 

59.0 

409.50 

6.35 

9.5 

54.5  382.38J  6.35 

56.5 

401.38!  6.45 

68.5 

420.38  6.55 

60.5 

439.38 

6.63 

100 

56.0 

410.00!  6.61 

58.0 

430.00  6.71 

60.0 

450.00  6.82 

62.0 

470.00 

6.91 

10.5 

67.5 

438.38  6.86 

59.5 

459.38  6.98 

61.5  480.38  7.08 

63.5 

501.38 

7,18 

11 

59 

467.5 

7.12 

61 

489.  5     7.  24 

63 

511.5  I  7.34 

65 

533.6 

7.45 

12 

62 

528.0 

7.62 

64 

552.  0     7.  75 

66       576.  01  7.  86 

68 

600.0 

7.97 

13 

65 

591.5 

8.12 

67 

617.6  1  8.25 

69       643.5  1  8.37 

71 

669.5 

8.49 

AN1>    EXCAVATION     TAB!. 


Table  IT.— Area  in  square  feet,  A,  top  width  in  jeet,   l\ 
hydraulu  radius  in  feet,  r,  of  trapezoidal  channels, 

side  slopes  !)•$'  to  1 — Continued. 


-Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

35  feet 

40  feet 

45  feet 

^!  feet 

A 

3    ! 

i 

a  i 

t  ! 

1 

A 

$        4> 

II 

il 

H 

j  . 

a  •   "1 
II 

l.O 

38.0 

mm   .% 

48.0 

41.f;0!     .95 

48.0 

46.50 

.96 

63.0 

61-50 

.9$ 

1./8 

38.6 

44.16!  1.12 

43.6 

50.16 

1.18 

48.6 

55.16 

1.11 

63.6 

62.16! 

1.14 

1.4 

39.2 

51.911  130 

41.2 

58.91 

1.31 

49.2 

65.94 

1.32 

64.2 

72.9  1; 

1.6 

39.8 

59.84 

1.47 

44.8 

67.81!  1.48 

49.8 

75.84 

1.49 

64.8 

83.81 

l!fiO 

1.8 

40.4 

67.86 

1.G4 

45.4 

76.86 

1.66 

60.4 

85.86 

1.67 

65.4 

94^86 

1.68 

U.O 

41.0 

76.00 

1  80 

46.0 

86.00 

1.82 

51.0 

96.00 

1.84 

56.0 

106.00 

1.85 

a.  a 

41.6 

84.26 

1.96 

16.6 

95.26 

1.99 

51  .6 

106.26 

2.01 

56.6  1117.2ft 

2.02 

42.2 

92.64 

2.12 

47.2    101.  64 

2.15 

52.2 

116.64 

2.17 

57.2 

128.64, 

2.19 

3.6 

42.8 

101.14 

2.28 

17.8  illl.M!  2.31 

528 

127.14 

2.3  1 

57.8 

140.H 

236 

43.4 

109.76 

2.43 

48.4 

123.76 

2.47 

63.4 

137.76 

2.oO 

68.4 

151.76 

2.58 

3.O 

44.0 

118.50 

2.59 

49.0 

133.50 

2.63 

64.0 

148.50 

2.C6 

59.0 

16350 

2.69 

3.2 

44.6 

127.36 

2.7  i 

49.6 

113.36 

2.78 

54.6  |159.36 

2.82 

f-9.6 

17556 

2.86 

3.4 

45.2 

136.34 

2.88 

50.2 

153.34 

2.93 

55.2 

170.34 

2.97 

602 

187.81 

8.01 

3.6 

45.8 

145.44 

3.03 

50.8 

168.44 

3.09 

55.8 

181.44 

3.13 

C0.8 

199.44 

8.17 

3.8 

46.4 

154.66 

3.18 

51.4 

173.66 

3.23 

66.4 

192.66 

3.28 

61.4 

211.66 

852 

4.O 

470 

164.00 

3.32 

52.0 

184.00 

3.38 

57,0 

204.00 

8.43 

62.0 

221.00 

8.48 

47.6 

173.46 

3.46 

52.6 

191.46 

3.53 

57.6 

215.46 

3.58 

62.6 

236.46 

8.63 

4.4: 

482 

185.04 

3.60 

53.2 

205.04 

3.67 

58.2 

227.04 

3.73 

63.2    249.04 

8.78 

4.6 

48.8 

192.74 

3.74 

53.8 

215.74 

3.81 

58.8 

238.74 

3.88 

63.8 

261.74 

3.93 

4.8 

49.4 

202.56 

3.87 

54.4 

226.56 

3.95 

59.4 

250.56 

4.02 

64.4 

274.66 

4.08 

5.O 

60.0 

212.50 

4.01 

55.0 

237.50 

4.09 

60.0 

262.50 

4.17 

65.0 

287.50 

4.23 

60.6 

222.56 

4.14 

60.6    248.56 

4.23 

f.o.6 

274.56 

4.30 

65.6 

300.56 

4.87 

5!4 

61.2 

232.74 

4.27 

56.2    259.74 

4.37 

61.2 

286.74 

4.45 

66.2 

313.71 

4.62 

5.6 

61.8 

243.04 

4.40 

56.8 

271.04 

4.50 

61.8 

299.04 

4.58 

66.8 

327.04 

4.66 

5.8 

62.4 

253.46 

4.53 

57.4 

282.46 

4.63 

62.4 

311.46 

4.72 

67.4 

340.46 

4.79 

6.0 

63.0 

264.00 

4.66 

58.0 

294.00 

4.77 

630 

324.00 

4.86 

68.0 

364.00 

4.94 

63.6 

271.66 

4.77 

58.6  J305.66 

4.88 

63.6 

336.66 

4.98 

686 

367.66 

6.07 

6^ 

54.2 

285.44 

4.89 

59.2 

317.44 

5.01 

61.2 

319.44 

5.11 

69.2    381.44 

6.20 

6.6 

54.8 

296.31 

4.98 

59.8 

329.34 

5.14 

64.8 

362.34 

5.21 

69.8    395.34 

5.33 

6.8 

65.4 

307.36 

5.13 

60.4 

341.86 

5.26 

65.4 

375.36 

557 

70.4 

409.86 

5.46 

7.O 

66.0 

818.50 

5.29 

61.0 

353.50 

5.42 

66.0  '388.50 

5.68 

71.0 

423.50 

5.63 

7.5 

57.5 

346.88  !  5.69 

62.5 

38458 

5.73 

67.5  1421.88 

5.86 

72.5 

459.38 

5.96 

8.0 

59.0 

876.00 

5.89 

61.0 

416.00 

6.04 

69.0    456.00 

6.18 

74.0 

496.00 

6.29 

8.5 

60.5 

405.88 

6.18 

65.6 

448.38 

8.35 

70.5  |490.88 

6.49 

75.5 

533.38 

6.ftl 

9.0 

62.0 

436.50 

6.17 

67.0 

481.50 

6.65 

72.0 

526.50 

6.80 

77.0 

571.50 

6'.93 

63.5 

467.88 

6.76 

68.5  151558 

6.94 

73.5 

562.88 

7.10 

78.5' 

610.38 

7.24 

10.0 

65.0 

500.00 

7.04 

70.0  !  650.00 

7.23 

75.0 

600.00 

7.40 

80.0 

650.00 

7156 

1O.5 

66.5 

632.88 

7.32 

71.5 

585.38 

7.52 

76.5 

637.88 

7.70 

81.5 

690.38 

7.86 

11 

68 

666.5 

7.59 

73 

621.5 

7.80 

78 

676.5 

7.99 

83 

731.5  ' 

Site 

71 

636.6  j  8.13 

76      (696.0 

8.36 

81 

756.0 

8.56 

86 

816.0  ' 

8.T& 

13 

_74_. 

708.$ 

773.5 

8.90 

84 

83S.5j9.13 

89 

903.5  \ 

9.38_ 

70 


HYDRAULIC   AND  EXCAVATION    TABLES. 


Table  18.  —  Area  in  square  feet,  A,  top  width  in  feet, 
hydraulic  radius  tn  feet,  r,  of  trapezoidal  channels, 

side   slopes  2  to  1. 


and 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

2  feet 

3  feet 

4  feet 

5  feet 

L 

8  S 

i         i- 

I  J 

S      & 

1 

T      A 

*  1 

r 

A     j§     | 

T 

A 

T 

A 

s  1 

II 

1     it 

i     " 

|) 

II' 

k 

i     ^ 

*» 

k 

0.4 

8.6 

1.12 

.30 

4.6 

1.62 

.82 

5.6 

1.92 

.83 

6.6 

2.32 

.34 

0.6 

4.4 

1.92 

.41 

5.4 

2.52 

.44 

6.4 

8.12 

.47 

7.4 

8.72 

.48 

0.8 

5.2 

2.88 

.52 

6.2 

3.68 

.56 

7.2 

4.48 

.59 

8.2 

5.28 

..62 

1.0 

6.0 

4.00 

.62 

7.0 

5.00 

.67 

8.0 

6.00 

.71 

9.0 

7.00 

.74 

1.8 

6.8 

6.2j 

.72 

7.8 

6.48 

.77 

8.8 

7.68 

.82 

9.8 

8.88 

1.4 

7.6 

6.72 

.81 

8.6 

8.12 

.88 

9.6 

9J2 

.93 

10.6 

10.92 

'.97 

1.6 

8.4 

8.32 

.91 

9.4 

9.92 

.98 

10.4 

11.52   1.03 

11.4 

13.12 

1.08 

1-8 

9.2 

10.08 

1.00 

10.2 

11.88 

1.08 

11.2 

13.68 

1.14 

12.2 

15.48 

1.19 

8.0 

10.0 

12.00 

1.09 

11.0 

14.00 

1.17 

12.0 

16.00 

1.24 

13.0 

18.00 

1.29 

8.8 

10.8 

14.08 

1.19 

11.8 

16.28 

1.27 

12.8 

18.48 

1.31 

13.8 

20.68 

1.39 

8.4 

11.6 

16.32 

1.28 

12.6 

18.72 

1.36 

13.6 

21.12 

1.43 

11.6 

23.52 

1.49 

8.6 

12.4 

18.72 

1.37 

13.4 

21.82 

1.46 

14.4 

23.92!  1.53 

15.4 

26.52 

1.99 

8.8 

13.2 

21.28 

1.47 

14.2 

24.08 

1.55 

15.2 

26.88 

1.63 

16.2 

29.68 

1.69 

3.0 

14.0 

24.00 

1.56 

15.0 

27.00 

1.64 

16.0 

30.00 

1.72 

170 

33.00 

1.79 

3.8 

14.8 

1.65 

15.8 

30.08 

1.71 

16.8 

33.28 

1.82 

178 

36.48 

1.89 

3.4 

15.6 

29^92 

1.74 

16.6 

33.32 

1.83 

17.6 

36.72 

1.91 

186 

40.12 

1.99 

3.6 

16.4 

83.13 

1.83 

17.4 

36.72 

1.92 

18.4 

40.32 

2.01 

19.4 

43.92 

2.08 

3.8 

17.2 

36.48 

1.92 

18.2 

40.28 

2.02 

19.2 

•14.08 

2.10 

20.2 

47.88 

2.18 

4.O 

18.0 

40.00 

2.01 

19.0 

•14.00 

2.11 

200 

48.00 

2.19 

21.0 

52.00 

2.27 

4.8 

18.8 

43.68 

2  10 

19.8 

47.88 

2.20 

20.8 

52.08 

2.29 

21.8 

56.28 

2.37 

4.4 
4.6 

19.6 
20.4 

47.52 
61.62 

2!l9 
2.28 

20.6 
21  .4 

5192!  2.29 
56.12    2.38 

21.6 
22.1 

56.32 
60.72 

2.38 
2.47 

22.6 
23.4 

60.72 
65.32 

2.46 
2.55 

4.8 

21.2 

65.68 

2.37 

22.2 

60.48  j  2.47 

23.2 

65.28 

2.56 

24.2 

70.08 

2.65 

5.0 

22.0 

60.00 

2.46 

23.0 

65.00!  2.56 

24.0 

70.00 

2.66 

25.0 

75.00 

2.74 

5.8 

22.8 

6448 

2.55 

23.8 

69.68   2.65 

248 

74.88 

2.75 

25.8 

80.08 

2.83 

5.4 

23.6 

69.12 

2.64 

24.6 

74'.52  j  2.74 

25.6 

79.92 

2.84 

26.6 

85.32 

2.93 

5.6 

24.4 

73.92    2.73 

25.4 

79.52    2.83 

26.4 

85.12 

2.93 

27.4 

90.72 

3.02 

5.8 

25i2 

78.88 

2.82 

26.2 

81.68J  2.93 

27.2 

90.48 

3.02 

28.2 

96.28 

3.11 

6.0 

26.0 

84.00 

2.91 

27.0 

90.00 

3.02 

28.0 

96.00 

3.11 

29.0 

102.00 

8.20 

6.8 

26.8 

89.23  !  8.00 

27.8 

95.48 

3.11 

501.  OS 

S.21 

29.8 

107.88 

330 

6.4 

27.6 

94.72   8.09 

28.6 

01.12 

3.20 

29.6  i  107.52 

330 

30.6 

113.92 

339 

6.6 

28.4 

100.32!  3.18 

29.4 

106.921  3.29 

30.4  1113.52 

3.39 

31.4 

120.12 

348 

6.8 

29.2 

106.08 

8.27 

30.2 

112.88 

3.38 

31.2 

119.6S 

3.48 

32.2 

126.48 

3.57 

1  O 

31 

19 

9  <17 

32 

126.0 

3.57 

83 

133 

8.66 

f  .u 

7.5 

.... 

33 

135        3^69 

34 

142.5 

35 

150 

8.0 

...... 



35 

52        3.92 

36 

160.0  . 

4.02 

37     . 

168 

4.12 





37 

170 

4.15 

38 

178.5 

4.2-5 

39 

187 

4.35 

0.0 





89 

189 

4.87 

40 

198.0 

4.47 

41 

207 

4.57 

9.5 

•  • 

42 

218.5 

4.70 

4o 

228 

4.80 

1O 

44      I 

r>dC\  fl 

4.93 

IS 

5  03 

11 

...... 

i  

48_j286      I 

?97__ 

5.48 

HYDRAULIC    AND    EXCAVATION    TABLES. 

Table  18. — Area  in  square  feet,  A,  top  width  in  feet, 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

side  slopes  2  to  1 — Continued. 


71 

T,  and 


•  Bottom  width 

Bottom  width 

Bottom  width 

Bottom  widt* 

6  feet 

7  feet 

8  feet 

9  feet 

•*L 

as     a 

fc 

L 

I 

T 

A 

«  t; 

T 

A 

S     1 

T 

A 

S       1 

T 

A 

§ 

II  * 

II 

II 

1 

0.4 

7.6 

2.72 

.35 

8.6 

3.12 

.35 

9.6 

3.52 

.36 

106 

89-2 

.{ 

O.6 

84 

4.32 

.50 

94 

4.92 

.51 

10.4 

5.52 

.52 

11.4 

6.12 

.£ 

O.8 

9.2 

6.08 

.61 

10.2 

6.88 

.65 

11.2 

7.68 

.66 

12.2 

8.48 

.< 

l.O 

10.0 

8,.00 

.76 

11.0 

9.00 

.78 

12.0 

10.00 

.80 

13.0 

11.00 

.8 

1.2 

10.8 

10.08 

.89 

118 

11.28 

.91 

128 

12.48 

.93 

13.8 

13.68 

.(] 

1.4 

11.6 

12.32 

1.00 

12.6 

13.72 

1.03 

13.6 

15.12 

1.06 

14.6 

16.52 

l.C 

1.6 

12.4 

14.72 

1.12 

16.32 

1.15 

14.4 

17.92 

1.18 

15.4 

19.52 

1.2 

1.8 

13.2 

17.28 

1.23 

14.2 

19.08 

1.27 

15.2 

20.88 

1.30 

16.2 

22.68 

i.a 

2.0 

14.0 

20.00 

1.33 

15.0 

22.00 

138 

160 

24.00 

1.41 

17.0 

26.00 

1.4 

2.2 

14.8 

22.88 

1.44 

15.8 

25.08 

1.49 

168 

27.28 

1.58 

17.8 

29.48 

1.5 

2.4 

156 

25.92 

1.55 

16.6 

28.32 

1.60 

17.6 

30.72 

1.64 

18.6 

83.12 

i< 

2.6 

ltj.4 

29.12 

1.65 

17.4 

31.72 

1.70 

184 

34.32 

1.75 

19.4 

36.92 

1.7 

17.2 

32.48 

1.75 

18.2 

35.28 

1.81 

19.2 

38.08 

1.86 

20.2 

40.88 

1.9 

3.0 

18.0 

86.00 

1.85 

19.0 

39.00 

1.91 

20.0 

42.00 

1.96 

21.0 

45.00 

2.0 

3.2 

18.8 

39.68 

1.95 

19.8 

4288 

2.01 

208 

46.08 

2.07 

21.8 

49.28 

2.1 

3.4 

196 

43.52 

2.05 

206 

46.92 

2.11 

21.6 

50.32 

2.17 

22.6 

53.72 

2.2 

3.6 

20.4 

47.o2 

2.15 

21.4 

51.12 

2.21 

22.4 

54.72 

227 

23.4 

58.32 

2.X 

.3.8 

21.2 

51.68 

2.25 

22.2 

55.48 

2.31 

23.2 

59.28 

2.37 

24.2 

63.08 

2.4 

4.0 

22.0 

56.00 

2.34 

25.0 

60.00 

2.41 

24.0 

64.00 

2.47 

25.0 

68.00 

2.5 

4.2 

22.8 

60.48 

244 

23.8 

64.68 

2.51 

248 

68.  8S 

2.57 

25.8 

73.08 

2.h 

4.4 

236 

65.12 

2.54 

246 

69.52 

2.61 

25.6 

73.92 

2.67 

26.6 

7832 

2.7 

4.6 

244 

69.92 

2.63 

25.4 

74.52 

2.70 

26.4 

79.12 

2.77 

27.4 

83.72 

2.8 

4.8 

25.2 

74.88 

2.73 

26.2 

79.68 

2.80 

27.2 

84.48 

2.87 

28.2 

89.28 

2.9 

5.O 

260 

80.00 

2.82 

27.0 

85.00 

2.90 

280 

90.00 

2.96 

29.0 

95.00 

3.0 

5.2 

268 

&5.2S 

292 

27.8 

90.48 

2.99 

28.8 

95.68 

3.06 

298 

100.8 

s!i 

5.4 

27.6 

90.72 

301 

286 

96.12 

308 

296 

101.52 

316 

10692 

3.2 

5.6 

284 

96.32 

3.10 

294 

101.92 

3.18 

30.4 

107.52 

3.26 

3l]4 

113.12 

3.3 

5.8 

29.2 

102.08 

3.20 

30.2 

107.88 

3.28 

31.2 

113.68 

3.33 

32.2 

119.48 

3.4 

6.0 

80.0 

108.00 

3.29 

31.0 

114.00 

3.37 

32.0 

120.00 

345 

330 

126.00 

3.5 

6.2 

308 

114.08 

338 

31.8 

120.28   3.46 

32.8 

126  48 

3.M 

338 

132.68 

3.6 

6.4 

81.6 

120.32 

3.48 

32.6 

I2'>  72 

3.56 

33.6 

133.12 

364 

346 

139.52 

3.7 

6.6 

32.4 

126.72 

3.57 

334 

13332 

3.65 

34.4    139.92 

373 

354 

146.52 

3.8 

6.8 

33.2 

133.28 

3.66 

34.2 

140.08 

3.75 

35.2 

146.88 

3.fc2 

36.2 

153.68 

3.9 

7.0 

34 

1400 

3.75 

35 

147 

384 

36 

1540 

392 

37 

161 

4.0 

7.5 

36 

157.5 

3.98 

37 

165 

4.07 

38 

172.5 

4.15 

39 

180 

4.2 

8.0 

88 

176.0 

4.21 

39 

184 

4.30 

40 

192.0 

4.39 

41 

200 

4.4 

8.5 

40 

195.5 

4.44 

41        201 

4.53 

42 

212.5 

4.62 

43 

221 

4.7 

9.0 

42 

216.0 

4.67 

48 

225 

476 

44 

234.0 

4.85 

45 

243 

4.9 

9.5 

44 

237.5  I  4.90 

45 

247 

4.99 

46 

256.5 

5.08 

47 

266 

5.1 

10 

46 

260.0  j  5.13 

47 

270 

5.22 

48 

2SO.O 

531 

49 

290 

r..* 

11 

60      80K      |  u->8 

51  

319        _6.68_ 

_52  

330. 

A77_ 

53  

341 

M 

72 


HYDBAULIC 


EXCAVATION    TABLB8. 


Table  18. — Area  in  square  feet.  A,  top  width  in  feet ', 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels^ 

side  slopes  2  to  1— Continued. 


Bottom  width    < 

Bottom  width 

Bottom  width 

Bottom  width 

10  feet 

12  feet 

14  feet 

16  feet 

& 

r 

2     * 

r 

A 

41 

r 

A 

at         i 

r 

A 

-j| 

0 

«      I 
it 

II 

SB 

•*. 

ii 
k 

k 

_. 

1.0 

14.0 

12.00 

.81 

16.0 

14.00 

.85 

18.0 

16.00 

.87 

20.0 

18.00 

M 

1.2 

14.8 

14.88 

*97 

16.8 

17.28 

1.00 

188 

1968 

1.02 

20.8 

22.08 

1.19 

1.4 

15.6' 

17.92 

1.10 

17.6 

20.72 

1.18 

19.6 

23.52 

1.16 

21.6 

26.32 

11* 

1.6 

16.4 

21.12 

1.23 

18.4 

24.32 

1.27 

20.4 

27.52 

130 

22.4 

30.72 

1.33 

1.8 

17.2 

21.48 

1.36 

19.2 

28.08 

1.40 

21.2 

31.68 

1.44 

23.2 

83.28 

1.47 

2.0 

18.0 

28.00 

148 

2<).0 

32.00 

1.52 

22.0 

36.00 

1.57 

24.0 

40.00 

1.60 

2.2 

18.8 

81.68 

1.60 

20.8 

36.08 

1.65 

22.8 

40.  is 

1.70 

24.8 

4t'8«< 

1.74 

19.6 

35,72 

1.71 

21.6 

40.32 

1.77 

236 

45.12 

1.82 

256 

49.92 

!.*7 

2J6 

20.4 

39.52 

183 

22.4 

44.72 

1.89 

24.4 

49.92 

1.95 

55.12 

1.99 

2.8 

21.2 

43.68 

1.94 

23.2 

49.28 

2.01 

25.2 

54.88 

2.07 

27*!2 

60.48 

2.12 

3.0 

22.0 

48.00 

2  0."> 

24.0 

54.00 

2.12 

26.0 

60.00 

2.19 

28.0 

66.00 

2.24 

3.2 

22.8 

52.48 

2.16 

248 

58.88 

2.24 

26.8 

6528 

2.31 

288 

71.68 

2.36 

3.4 

23.6 

57.12 

2.27 

25.6 

63.92 

2.35 

27.6 

70.72!  2.42 

29.6 

77.52 

2.48 

3.6 

24.4 

61.92 

2.37 

264 

69.12 

2.46 

28.4 

76.32  !  2.54 

30.4 

.  83  52 

2.60 

3.8 

25.2 

6ti.8S 

2.48 

27.2 

74.48 

2.57 

29.2 

82.08 

2.65 

31.2 

89.68 

2.72 

4.O 

26.0 

72.00 

2.58 

28.0 

.80.00 

2.6* 

81.0 

88.00 

2.75 

82.0 

96.00 

2.88 

4.2 

26.8 

77.28 

2.f9 

28.8 

85.68 

278 

30.8 

9408 

2.8T 

82.8 

102.48 

2.0& 

4.4 

27.6 

82.72 

2.79 

29.6 

91.52 

289 

31  6 

100.32 

2.98 

836 

10912 

8.06 

4.6 

28.4 

88.32 

2.8'.) 

3*>.4 

97.52 

2.9J 

32.4 

lOti.  72 

3.(9 

34.4 

1159-2 

3.17 

4.8 

29.2 

94.08 

2.99 

31.2 

103.68 

3.10 

113.28 

3.19 

85.2 

122.88 

3.2$ 

5.O 

30.0 

100.00 

3.09 

32.0 

110.00   3.20 

34.0 

120.00 

850 

360 

130.00 

8.30 

5.2 

30.8 

106.08 

319 

32.8 

116.48  j  3.30 

348 

126.8H    3.41 

368 

137.28 

8.50 

5.4 

31.6 

112.32 

329 

336 

12312    3.41 

35.6 

133.92    851 

376 

141.72 

3;61 

4.6 

32.4 

11S.72 

339 

34.4 

12992 

3.51 

36.4 

141.12 

361 

38.4 

3.71 

5.8 

83.2 

125V28 

3.49 

35.2 

186.88 

3.61 

37.2 

148.48 

3.72 

39.2 

mos 

3.82 

6.0 

34.0 

132.00 

359 

36.0 

144.00 

3.71 

38.0 

156.00 

3.82 

400 

1&«.00 

3.98 

6.2 

34.S 

13888 

368 

36.8 

151.28 

381 

38.8 

163.68 

392 

40.8 

176.08 

4.08 

6.4 

35.6 

145  92 

3.78 

37.6 

158.72 

891 

39.6 

171.52i  4.03 

416 

184  32 

4.18 

6.6 

36.4 

153.12 

3.88 

38.4 

166.32 

4.01 

40.4 

179.52 

4.13 

42.4 

192.72 

4.24 

6.8 

37.2 

160.48 

3.97 

39.2 

174.08 

4.11 

41.2 

187.68 

4.23 

48.2  i  201  .28 

4.34 

7.O 

38 

168.0 

407 

40 

182.0 

4.20 

42 

196.0 

4.33 

44       210.0 

4.4* 

7.5 

40 

187.5 

4.81 

42 

202.5 

4.45 

44       217.5 

4.58 

46      1232.5  . 

4,69 

. 

L           ''1                       ; 

.  -  ; 

8.0 

42 

208.0 

454 

44 

224.0 

4.69 

46      1240.0     4.82 

48       256.0 

4.94 

8.5 

44 

229.5 

4.78 

46 

246.5 

4.93 

48      1  263.5 

5.07 

50 

280.5 

8.19 

9.0 

46 

252.0 

5.01 

48 

270.0 

5.17 

50      i  288.0 

531 

52 

306.0 

5.44 

9.5 

48 

275.5 

5.25 

50 

294.5 

5.41 

52      |313.5 

5.56 

54 

332.5 

5;6& 

10.0 

50 

300.0 

5.48 

52 

320.0 

564 

54      J340.0 

5.80 

56 

360.0 

5.94 

10.5 

52 

325.5 

5.71 

54. 

346.5 

5.88 

56       367.5 

j 

6.04 

58 

388.5 

6.1S 

11 

54 

352 

5.95 

56 

374 

6.11 

58      [896 

6.27 

60 

418 

6.42 

12 

58 
62 

408 

468 

6.41 
6.87 

60 
64 

432 
494 

6.58 
7.04 

62       456 
66      1520 

6.74 
7.22 

64       480 
68      if>46 

6.8§ 
7.37 

HYDRAULIC    AND  EXCAVATION   TABLED. 


Table    18.-— Area  in  square  feet,   A,   top  width  in  feet,    Tt  'and 
hydraulic  radius  infest,  r,  of  trapezoidal  channels, 

side  slopes  2  to  1— 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

18  feet 

20  feet 

22  feet 

24fe4t 

0I& 

til 

ali 

** 

T 

.4 

11 

T 

A 

Ts 

r 

A 
\ 

*l! 

T 

A   j 

$1 

11 

\ 

K 

!l 

:i 

.  ,.  ' 

: 

1.0 

22.0 

20.00 

.89 

24.0 

22.  00 

.90 

26.0 

24.00 

.91 

28.0 

26.00 

.91 

1.2 

22.8 

24.48     .05 

24.8 

26.88 

.06 

26.8 

,29.28}  1.07 

28.8 

31.68! 

1.08 

1.4 

23.6 

29.  12      .  20 

25.6 

31.  92 

.22 

27.6 

34.72   1.23 

29.6 

37.52 

1.24 

1.6 

24.4 

33.  92      .  35 

26.4 

37.12 

.37 

28.4 

40.32    1.38 

30.4 

43.  52 

1.40 

1.8 

26.2 

38.<88j     .  49 

27.2 

42.48 

.51 

29.2 

46.08}  1.53 

31.2 

49.68 

1.58 

2.0 

26.0 

44.00     .63 

28.0 

48.00 

.66 

30.  0 

52.00J  1.68 

32.0 

56.00 

1.70 

2.2 

2678 

40.28     .77 

28.8 

53.68 

.80 

30.8 

58.081  1.82 

32.8 

82'.  48 

•1.85-. 

2.4 

27.6 

54.721  1.90 

29.6 

59.  52 

.94 

31.6 

64.32 

1.96 

33.6 

69.12 

1.99 

2.6 

28.4 

60.32   2.04 

30.4 

65.  52 

2.07 

32.4 

70.72 

2.10 

34.4 

75.92 

2.13 

2.8 

29.2 

66.08   2.17 

31.2 

71.68 

• 

2.20 

33.2 

77.28 

2.24 

35.2 

S2.-88 

2.27 

3.0 

30.0 

72.00 

2.29 

32.0 

78.00 

2.34 

34.0 

84.00 

2.37 

36.0 

90.00 

2.41 

8.2 

30.8 

78.08   2.42 

32.8 

84.48 

2.46 

34.8 

90.88 

2.50 

36.8 

97.28 

2.54 

3.4 

31.6 

84.32   i!.o4 

33.  6 

91.12J  2.59 

35.6 

97.92 

2.63 

37.6 

104.72 

2.67 

3.6 

32.4 

90.72   2.66 

34.4 

97.92J  2.71 

36.  4 

105.12   2.76 

38.4 

112.32 

2.80 

3.8 

33.2 

97.28  2.7S 

35.2 

104.88   2.84 

137.2 

112.48  2.89 

39.2 

120.08 

2.93 

4,0 

34.0 

104.001  2.90 

36.0 

112.00  2.96 

38.0 

120.00  3.01 

40.0 

128.00 

'   8.06 

4.2 

34.8 

110.881  3.02 

36.8 

119.28   3.08 

38.8 

127.  68  3.13 

40.8 

136.08 

3.18 

4.4 

35.6 

117.92J  3.13 

37.6  i  126.  72!  3.19 

39.6 

135.52  8.25 

41.6 

144.  .-52 

?.3» 

4.6 

36.4 

125.12  3.24 

38.4  1134.321  3.31 

40.4 

143.52   3.37 

42.4 

152.72 

3.43 

•4.8 

37.2 

132.  48j  3.36 

39.2   142.081  3.43 

41.2 

151.68  3.49 

43.2 

161.28 

3.55 

5.0 

38.0 

140.00  3.47 

40.0 

150.00   3-54 

42.0 

160.00  3.61 

44.0 

170.00 

3.67 

5.2 

38.8 

147.68!  3.58 

40.8  j  158.  08!  3.65 

42.8 

168.48  3.72 

44.8 

178.88 

3.78 

5.4 

39.6 

155.521  3.69 

41.  6  H66.32!  3.77 

43.6   177.12)  3.84 

45.  6 

187.92 

3.90 

5.6 

40.4 

163.52   3.XO 

42.  4   174.  72j  3.  88 

44.4   185.92   3.95 

46.4- 

197.  12 

4.02 

5.8 

41.2 

171.68  3.91 

43.2   183.28!  3.99 

45.2   194.88  4.06 

47.2 

206.48 

4.  13 

6.0 

42.0 

180.  00|  4.02 

44.0   192.  OOi  4.10 

46.0  J204.00  4.18 

48.0 

216.'00 

4.25 

6.2 

42.8 

188.  48!  4.12 

44.8 

260.88  4.21 

-46.8  213.28   4.29 

48.8  1225:68 

4.  36 

6.4 

43.6 

197.121  4.23 

45.6   209.  92j  4.32 

47.6  J222.72   4.40 

49.6  .23T>.'52 

^4.48 

6.6 

€.8 

44.4 
45.2 

205.92 
214.88 

4.  33 
4.43 

46.4  1219.121  4.43 
47.2  1228.48'  4.53 

48.4  '232.32!  4.51 
49.2  242:  OH  4.62 

50.4   245.52 
51.2  J255.68 

4.59 
4.70 

7.0 

46 

224.0 

i.54 

48      •  238.0     4.64 

50      252.0  |  4.73 

52      J266.0 

4.81 

7.5 

48 

247.5 

4.80 

on       262.5 

4.90 

52       277.5 

5.00 

54       292.  5  ' 

5.08 

8.O 

50 

272.0 

5.05 

52      (288.0 

5.16 

54       304.0 

5.26 

56      1320:0 

S.35 

8.5 

52 

297.5 

5.31 

54      J314.5 

5.42 

56 

331.5 

6.52 

58    •  348.5 

5.62 

9.0 

5* 

324.0 

5.56 

56      342.0 

5.68 

5S 

360.0     5.7S 

HO 

378.0 

5.88 

9.5 

56 

351.5 

5.81 

58       370.5 

5.93 

60 

389.5     6.04 

62 

408.5 

6.  14 

10.0 

58 

380.0     6.06 

60      1400.0 

6.18 

62 

420.0 

6.30 

64      J440:0. 

«."<40 

10.5 

60 

409.5 

6.30 

62 

430.5 

6.43 

64 

451.5 

6.55 

06      J472.5; 

6/66 

11 

62 

440 

6.54 

64 

462 

6.67 

66 

484 

6.80 

68    • 

506    : 

**1 

It 

66 

504 

7.03 

68 

528 

7.16 

70 

552 

7.30 

72     ; 

576 

7/42 

13 

70 

572 

7.51 

72 

598 

7.65 

74 

624 

7.79 

76.' 

wLii 

'iT.ty 

74 


HYDRAULIC    AND    EXCAVATION    TABLES. 


Table    18.— A  tea    in  square  feet,    A,    top   width   in  feet,    T,    aifti 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

Side  slopes  2  to  1— Continued. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

26  feet 

.'8  feet 

30  feet 

32  feet 

i! 

r 

A 

ara 

wet  per.  | 

T 

A        ;      «    t> 

r  !   A 

area 

wet.  per.  ' 

.       : 

T 

A  -. 

tl 

.     • 

I 

I 

\ 

1 

. 

i! 

1.0 

30.0 

28.00 

.92 

32.0 

30.00 

.92 

34.0 

32.00     .93 

36.0 

34;  00 

1.2 

30.8 

34.08 

1.09 

32.8 

36.48 

1.09 

34.8 

38.  88   1.10 

36.8 

41.28 

1.4 

31.6 

40.32 

1.25 

33.6 

43.  12 

1.26 

35.6 

45.92J  1.27 

37.6 

48.  72 

•  1.27 

1.6 

32.4 

46.72 

1.41 

34.4 

49.92 

1.42 

36.4 

53.12 

1.43 

38.4 

56.32 

1.41 

1.8 

33.2 

53.28 

1.56 

35.2 

56.88 

1.58 

37.2 

60.48 

1.59 

39.2 

:64.08 

LOT- 

2.O 

34.0 

60.00 

1.72 

36.0 

64.00 

1.73 

38.0 

68.00 

1.75 

40.0 

72.00 

|.76 

2.2 

34.8 

66.88 

1.87 

36.  8 

71.28 

1.88 

38.8 

75.68 

1.90 

40.8 

80.08 

1.91 

2.4 

35.6 

73.92 

2.01 

37.6 

78.72 

2.03 

39.6 

S3.  & 

2.05 

41.6 

88.32 

.2.07 

2.6 

36.4 

81.12 

2.16 

38.4 

86,32 

2.18 

40.4 

91.52 

2.20 

42.4 

96.72 

2.  22 

-    2.8 

37.2 

88.48 

2.30 

39.2 

94.08 

2.32 

41.2 

99.68 

2.34 

43.2 

105.28 

2.  w 

3.0 

38.0 

96.00 

2.44 

40.0 

102.00 

2.46 

42.0 

108.00 

2.48 

44.0 

114.00 

2.5] 

3.2 

38.8 

103.68 

2.57 

40.8 

110.08 

2.60 

42.8 

116.48 

2.63 

44.8 

122.88 

2.  e;. 

3.4 

39.6 

111.52 

2.71 

41.6 

118.32 

2.74 

43.6 

125.  12 

2.77 

45.6 

131.92 

2.79 

3.6 

40.4 

119.  32 

2.84 

42.4 

126.72 

2.87 

44.4 

133.  92 

2.90 

46.4 

141.12 

2.93 

3.8 

41.2 

127.68 

2.97 

43.2 

135.28 

3.01 

45.2 

142.88 

3.04 

47.2 

150.48 

3-07 

4.6 

42.0 

136.00 

3.10 

44.0 

144.00 

3.14 

46.0 

152.00 

3.17 

48.0 

160.00 

a.  21 

4.2 

42.8 

144.48 

3.23 

44.8 

152.  88 

3.27 

46.8 

161,28 

3.31 

48.8 

169.68 

3.3,' 

.   4.4 

43.6 

153.12 

3.35 

45.6 

161.92 

3.40 

47.6 

170.  72 

3.44 

49.6 

179.  52 

8.47 

4.6 

44.4 

161.92 

3.47 

46.4 

171.12!  3.52 

48.4 

180.32 

3.57 

50.4 

189.  52 

3.  6f  • 

4.8 

45.2 

170.88 

3.60 

47.2 

180.  48i  3.65 

49.2 

190.08 

3.69 

51.2 

199.68 

3.72 

5.0 

46.0 

1,80.00 

3.72 

48.0 

190.00  3.77 

50.0 

200.00 

3.S2 

52.0 

210.00 

•  a.se 

5.2 

46.8 

189.  28 

3.84 

48.8 

199.68   3.90 

50.8 

210.08 

3.95 

52.8 

220.48 

5.4 

47.6 

198.  72 

3.96 

49.6 

209.52!  4.02 

51.6 

220.  32 

4.07 

53.6 

231.  12 

A.  12 

5.6 

48.4 

208.32 

4.08 

.50.4 

219.  52   4.  14 

52.4  230.72 

4.19 

54.4 

241.92 

4.24 

5.8 

49.2 

218.08 

4.20 

51.2 

229.681  4.26 

53.2 

241.28 

4.31 

55.2 

252.88 

4.35 

6.0 

50.0 

228,00 

4.32 

52.0 

240.001  4.38 

54.0  252.00 

4.43 

56.0 

264.00 

4.  i" 

6.2 

50.8 

238.08 

4.43 

52.8 

2.50.48 

4.49 

54.8  1262.88 

4.55 

56.8  275.28 

4.  61 

6.4 

51.6 

248.321  4.55 

53.6 

261.  12 

4.61 

55.6  1273.92 

4.67 

57.6   286.72 

4.  7?i 

6.6 

52.4 

258.72'  4.66 

54.4 

271.92 

4.73 

56.4 

285.12 

4.79 

58.4   298.32 

.i!.S4 

6.8 

53.2 

269.28 

4.77 

55.2 

282.88 

4.84 

57.2 

296.48 

4.91 

59.2  310.08 

4.97 

7.0 

54 

280.0 

4.89 

56 

294.0 

4.96 

58 

308.0 

5.02 

60      J322.0 

5.0? 

7.5 

56 

307.5 

5.16 

58 

322.5 

5.24 

60 

337.5 

5.31 

62 

352.5 

6-3* 

8.0 

58 

336.0 

5.44 

60 

352.0 

5.52 

62 

368.0 

5.59 

64 

3S4.0 

5.67 

8.5 

60 

365.5 

5.71 

62 

382.5 

5.79 

64 

399.5 

5.87 

66 

416.5 

5.9-r> 

9.0 

62 

396.0 

5.98 

64 

414.0 

6.07 

66 

432.0 

6.15 

68 

450.0 

6.  2' 

9.5 

64 

427.5 

6.24 

66 

446.5 

6.34 

68 

465.5 

6.42 

70 

484.5 

6.51 

10.0 

66 

460.0 

6.50 

68 

480.0 

6.60 

70 

500.0 

6.69 

72 

520.0 

6.7S 

10.5 

68 

493.5 

6.76 

70 

514.5 

6.86 

72 

535.5 

6.96 

74 

556.5 

.7.0^ 

11 

70 

528 

7.02 

72 

550 

7.13 

74 

572 

7.22 

76 

594 

7.32 

12 

600 

7.53 

76      |624 

7.64 

78 

648 

7.75 

80 

672 

7.&; 

id 

78  . 

676 

8.03 

80      1702 

3.15 

82 

728 

8.26 

84 

754 

8.8^ 

HYDRAULIC    AND   EXCAVATION    TABLES. 

Table  18. — Area  in  square  feet,  A,  top  width  in  feet, 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels , 

side  slopes  2  to  I—Continued. 


and 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  widtl 

35  feet 

40  feet 

45  feet 

50  feet 

^ 

1         .• 

I  : 

r 

A 

I  { 

r 

A 

area 

wetpe 

T 

A 

8  ! 

T 

A 

1 

ii  " 

II 

u 

i 

N 

* 

^ 

1 

1.0 

39.0 

37.00 

.94 

44.0 

42.00 

.94 

49.0 

47.00 

.95 

64.0 

52.00 

.< 

1.3 

39.8 

44.88 

111 

448 

5088 

1.12 

49.8 

56.88 

1.13 

64.8 

62.88 

1.1 

1.4 

4).6 

5292 

1.28 

45.6 

5992 

1.3) 

5).6 

66.921  1.31 

55.6 

73.92 

l.o 

1.6 

41.4 

C.1.12 

1.45 

46.4  1  P9.12 

1.47 

514 

77.12 

1.48 

56.4 

86.12 

l.< 

1.8 

42.2 

69.48 

1.61 

47.2 

78.48 

1.63 

52.2 

87.48 

1.65 

57.2 

96.48 

l.t 

2.O 

43.0 

78.00 

1.77 

48.0 

88.00 

1.80 

53.0 

98.00 

1.82 

58.0 

108.00 

l.f 

3.3 

438 

8.5.68 

1.93 

48.8 

97.68 

1.98 

53.8 

108.68 

198 

588 

Ii9.68 

2.C 

3.4 

446 

95.52 

2.09 

49.6 

107.52 

2.12 

546 

119.52 

2.14 

59.6 

131.52 

2.1 

3.6 

45.4 

104.52 

2.24 

5).4 

117.52 

2.28 

55.4 

13:)  52 

2.30 

60.4 

143.52 

2.:- 

2.8 

46.2 

113.68 

2.39 

51.2 

127.68 

2.43 

56.2 

141.68 

2.46 

61.2 

155.68 

2.4 

3.0 

47.0 

123.00 

2.54 

52.0 

138.00 

2.58 

57.0 

153.00 

262 

62.0 

168.00 

2.( 

3.3 

47.8 

132.48 

2.19 

528 

148.48 

2.73 

57.8 

1(54.481  2.77 

62.8 

180.48 

2..' 

3.4 

48.6 

142.12 

2.83 

53.6 

159.12 

2.88 

58.6 

176.12 

2.93 

f36 

193.12 

2.C 

3.6 

49.4 

151.92 

2.97 

54.4 

K.9.92 

3.03 

59.4 

187.92 

3.08 

64.4 

205.92 

31 

3.8 

50.2 

161.88 

3.11 

.55.2 

18J.88 

8.17 

60.2 

199.88 

3.22 

65.2 

218.88 

3.2 

4.0 

51.0 

172.00 

3.25 

5(5.0 

192.00 

332 

61.0 

212.00 

3.37 

66.0 

232.00 

3.4 

4.3 

51.8 

182.28 

3.39 

568 

2o3  28 

3.46 

61.8 

224.28 

352 

66.8 

245.28 

3.E 

4.4 

52.6 

192.72 

3.52 

57.6 

214.72 

360 

62.6 

236.72 

366 

67.6 

258.72 

3.7 

4.6 

53.4 

2  '3.32 

3.66 

584 

226  32 

3.74 

63.4 

24932 

3.80 

68.4 

272.32 

3.8 

4.8 

54.2 

214.08 

3.79 

59.2 

238.08 

3.87 

64.2 

202.08 

3.94 

69.2 

286.08 

4.C 

5.O 

65.0 

225.00 

3.92 

63.0 

250.00 

4.01 

65.0 

275.00 

4.08 

70.0 

SOO.fO 

4.1 

5.3 

55.8 

J3  '..08 

4.05 

6J.8 

262.(  8 

414 

65.8 

288.18 

4.22 

70.8 

314.(  8 

4.2 

5.4 

56.6 

247.32 

4.18 

61.6 

274  32 

4.28 

66.6 

301.32 

436 

71.6 

328  32 

4.4 

5*6. 

57.4 

>  *  ^    --9 

4.31 

62.4 

286.72 

441 

67.4 

314.72 

449 

724 

342.72 

4.5 

••:.;•: 

58.2 

270'.28 

4.43 

63.2 

299.28 

4.54 

68.2 

328.28 

4.63 

73.2 

357.28 

4.7 

6.O 

59.0 

252.00 

4.56 

64.0 

312.00 

467 

69.0 

342.00 

4.76 

74.0 

372.ro 

4  fi 

59.8 

293.88 

4.6'J 

64.8 

324.88 

4.8) 

69.8    355.88 

4.89 

748 

386.88 

4.t! 

6l4 

60.6 

505.92 

481 

656 

337.1  2 

492 

70.6  1369.92 

5.02 

75.6 

40192 

5.1 

6.6 

614 

318.12 

4.93 

66.4 

351.12 

5  <  5 

71.4    384.12 

5.16 

76.4 

417.12 

5.2 

6.8 

62.2 

33J.48 

5.06 

67.2 

364.48 

5J8 

72.2 

398.48 

5.28 

77.2 

432.48 

5.8 

7.0 

63 

343 

5.17 

68 

378.0 

5.30 

73 

413 

5.41 

78 

448.0 

5.5 

7.5 

65       375 

5.47 

70 

412.5. 

5.61 

75 

450 

5.73 

80 

487.5 

5.8 

8.0 

67 

408 

5.76 

72 

448.0 

5.91 

77 

488 

6.04 

82 

5280 

61 

8.5 

09 

442 

6.05 

74 

484.5 

6.21 

79 

627 

6.35 

84 

569.5 

6.4 

6.0 

71 

477   - 

6.34 

76 

522.0 

6.51 

81 

567 

6.65 

86 

6120 

6.7 

9.5 

73 

6.62 

78      1560.5 

6.80 

83 

608 

6.95 

88 

655.5 

7.0 

IO.O 

75 

550 

6.90 

600.0 

7.09 

8-5 

650 

7.24 

90 

700.0 

7.4 

10.5 

77 

588 

7.18 

82      J640.5 

7.37 

87 

693 

7i53 

92 

745.6 

7.6 

1 

11 

7V 

627 

7.45 

84       682 

765 

89 

737 

7.82 

94 

792 

7.S 

13 

83  - 

708 

7.98 

88      |7«8 

8.21 

93 

828 

8.89 

98 

888 

8.5 

87 

8.52 

92      1858 

8.75 

97 

923 

896 

02 

988 

9.1 

HYBRAULIO    AND    EXCAVATION    TABLES. 


T&blo   19. — Area  in  square  feet,   A,   top   -width   in  feet,  3",  <at*f 
Jiydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

one  side  slope  1  to  1  and  one  side  slope  iy2  to  1. 

(This  table  can  also  be  used  for  both  side  slopes  1J:1.) 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

2  feet 

3  feet 

4  feet 

5  feet 

i, 

a 

s     a 

i  i 

t  * 

JU 

u 

r 

A 

3     > 

T 

A 

r 

A 

«      0 

T 

A 

*3  1 

s 

I 

ii 

II 

i 

0.4 

300 

1.00 

.30 

4.00 

1.40 

.33 

6.00      1  80 

.34 

6.00 

220 

.35 

0.6 

3.50 

1.65 

.42 

4.50 

2.25 

.46 

5.50      2.85 

.48 

6.50  i    3.45 

4.00 

2.4.3 

5.00 

3.20 

.58 

6.00'     4.00 

.61 

7.00  1    4.80 

.'64 

1.0 

4.50 

3.25 

.62 

5.50 

4.25 

.68 

6.50      5.25 

.73 

7,50 

6i25 

:?6 

1.9 

6.00 

4.20 

.72 

6.00 

5.40 

.79 

7.<0      660J    .84 

8.00 

7^80 

.88 

1.4 

5.50 

5.25 

.81 

6.50 

665 

.89 

7.50       8.0T> 

.95 

8.50 

9.45 

1-99 

1.6 

6.03 

6.40 

.90 

7XK) 

8.00 

.98 

8.<»      9.60 

105 

9.00 

11.201 

1.8 

6.50 

7.65 

.98 

7.50 

9.45 

1.07 

8.50 

11.25 

1.15 

9.50 

1&05- 

S.O 

7.00 

9.00 

1.07 

8.00 

11.00 

1.17 

9.00    13.00 

1.25 

10.00 

15.00 

1.31 

2/4 

7.50 

10.45 

115 

8.50 

1265 

1.26 

9.50]   14  X. 

1.34 

10.50 

17.-05 

1.4.) 

8.00 

12.00 

1.23 

9.00 

14.40 

1.34 

10.00 

16.80 

1.43 

11.00 

19.20- 

ia 

<j  6 

8.50 

13.6) 

1.32 

9.50 

16.25 

1.43 

10.50 

18.85 

1.62 

11.50 

21  .45i 

1.61 

*!s 

9.00 

15.40 

1.40 

10.00 

18.20 

1.52 

11.00 

21.00 

1.61 

12.00 

23*801 

1.70 

3.0 

$.50 

17.25 

1.48 

10.50 

20.25 

1.60 

11.50 

23.25 

1.70 

12.50 

26.25 

179 

3.9 
3.4 

10.00 
10.50 

19.20 
21  .25 

1.56 
1.64 

ll.00i  22.40 
11.50     24.65 

1.69 
1.77 

12.00 
12.50 

25  60 

28.05 

1.79 

1.88 

13.  (0 
1350 

28,80 
31.45 

I'M 

1.97 

3.6 

11.00 

23.40 

1.72 

12.00 

27.00 

1.85 

1300 

3>.60 

1.96 

14.00 

3420 

2.08 

3.8 

11.50 

25.65 

1.80 

12.50 

29.45 

1.93 

13.50 

X:i.2o 

2.05 

14.50 

37.05 

2.15 

4.O 

12.00 

2800 

1.88 

13.00 

82.00 

2.02 

14.00 

36.00 

2.13 

15.00 

40.00 

2.24 

4.9 

12.50 

3J.45 

1.96 

13.50 

34.65 

2.10 

14.60 

38.85 

2.22 

15.50 

43.05 

2.83 

4.4 

13.00 

35.00 

2.04 

14.00 

37.40 

2.18 

15.00 

41.80 

2.30 

16.00 

46;20 

2.41 

4.6 

13.50 

3565 

2.12 

14.50 

4025 

2.26 

15.50 

41.  ft) 

2.39 

16.50 

49.4.r 

2.50 

4.8 

14.00 

38.40 

2.20 

15.00 

43.20 

2.34 

16.00 

48.00 

2.47 

17.00 

52.80 

2.58 

5.O 

H.50 

41.25 

2.28 

15.50 

46.25 

2.42 

16.50 

51.25 

2.55 

17.50 

56.25 

2.67 

5.9 

15.00 

44.20 

2.36 

16.00 

49.40 

2.50 

17.00 

54.60 

2.63 

18.00 

59.80 

2.75 

5.4 

15.50 

47.25 

2.44 

16.50 

52.65 

2.58 

17.50 

58.05 

2.71 

18.50 

63.45 

2^3 

5.6 

16.00 

50.40 

2.52 

17.00 

56.00 

2.66 

18.00 

61.60 

2.80 

19.00 

67  .2( 

2.92 

5.x 

16.50 

53.65 

2.59 

17.50 

59.46 

2.74 

18.50 

65.25 

2.88 

19.50 

71.05 

3.0t> 

6.O 

17.00 

57.00 

2.68 

1S.OO 

63.00 

2.83 

19.00 

69.00 

2.96 

20.00 

75:00 

3.09 

6.9 

17.6J 

6X45 

2.75 

18.50 

66.65 

2.90 

19.50 

72.85 

3.04 

20.50 

79.0," 

3.17 

6.4 

18.00 

64.00 

2.83 

19.00 

70.40 

2.98 

20.00 

76.80 

312 

21.00 

8320 

825 

6.6 

18.50 

6/.#> 

2.91 

19.50 

74.25 

3.06 

20.50 

80.85 

3.20 

21.50 

8745 

•S'33 

«.8 

iy.oo 

71.40 

2.99 

20.00 

78.20 

3.14 

21.00 

85.00 

3.28 

22.00 

91  .8U 

3.41 

7.O 

20.50 

82.25 

3.22 

21.50 

8925 

337 

22.50 

96:2? 

S.59 

7.5 

21.75 

92.81 

3.42 

22.75 

100.31 

3.57 

23.75  107.&1 

3.70 

8.O 

23.00 

1'  4  00 

3  62 

24  (10 

119  rn 

377 

25.00  120:00 

8.99 



24^25 

115.81 

3.82 

25^25  J1L4.31 

3.97 

26.26.  132.-81 

4.11 

9.0 



25.50 

128.25 

4.01 

26.50 

187.25 

4.17 

27.50  146  !2f 

431 

27.75 

150.81 

4.36 

18.75  160.31 

4.&1 

8 

:::::: 

1 

..... 

29.00 
31.60 

165.00 

195.25 

4.56 

30.00  175.00 
82.50  2^6,» 

4.71 

•    





....... 

HYDRAULIC    AND   EXCAVATION   TABLES. 


77 


1O»- — Area  in  square  feet,  /4,  top  width  in  feet :,   T",  and 
hydraulic  radius  infect,  r,  of  trapezoidal  channels ', 

oito  side  slope  1  to  1  and  one  side  slope  1>£  to  1 — Con. 


I   Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

6  feet 

7  feet 

8  feet 

9  feet 

u 

j 

:u 

'  * 

b 

a 
I 

T 

* 

l\ 

T 

* 

|| 

T 

A 

§  ! 

II 

r 

A 

1  1 

fl 

i 

: 

M 

'i 

O.4 

7.00 

2.60 

^6 

8.00 

300 

.36 

9.00 

3.40 

.37 

10.00 

3.80 

.37 

O.O 

7.50 

4.05 

.51 

8.50 

4.65 

.52 

9.50 

5.25 

.53 

10.50 

58') 

M 

0.8 

;  8.00 

5.60^    .66 

9.00 

6.40 

.67 

10.00 

7.20 

.63 

11.10 

8.00 

t.o 

8.50 

7.25 

.79 

9.50 

8.25 

.81 

10.50 

9.25 

.82 

n.ro 

10.25 

M 

1.3 

'  9.00 

9.00 

.91 

10.00 

1020 

.91 

11.00 

11.40 

.96 

12/0 

12.60 

.98. 

,  9.50 

10.85 

1.03 

10.50 

12  25 

1/6 

11.50 

13.65 

109 

12.50 

15.05 

1.11 

1.6 

10.00  i  12.80 

1.15 

1100 

1440 

1.19 

12.00     16.00 

1.22 

13/0 

17.60 

134 

1.8 

10.50  j  14.85 

1.26 

11.50     16.65 

1.30 

12.50 

18.45 

1.34 

13.50 

20.25 

L37 

3.O 

11.00 

17/10 

1.37 

12.00     19.00 

1.41 

13.00    21.00 

1.4) 

14/0 

23.00 

1  4£ 

3.3 

1150 

19.25 

1.47 

12.50     21.45 

1  .52 

13.50 

23.65 

157 

14.50 

25.85 

1.61 

3.4> 

12.00 

21.60 

1.57 

13.00 

24.01 

1.63 

14/0 

2640 

168 

15.00 

2<.8) 

1.72 

3^6 

T2.50 

21.05    1.67 

13.50 

26.65 

1.73 

14.50 

2925 

179 

15.50 

3185 

3.8 

13.00 

26.60 

1.77 

14.00 

29.40 

1.84 

15.00 

32.20 

1.89 

16.00 

35.00 

l'.94 

3.0 

13.50 

29.25 

1.87 

1450 

32.25 

1.94 

1550 

35.25  !  -2.00 

16.50 

38.25 

205- 

3.3 

14.00 

32.00 

1.96 

15.00 

3520 

2.04 

16.00 

38.401  -2.10 

17.00 

41.  6J 

2.16 

3.4 

14  50 

•2.06 

15.50 

38.25 

2.13 

1.6.50     fl  60  i  2.20 

17.50 

45.05 

2.26 

3.6 

1  r»  dO 

37'.80 

2.15 

16.00 

41.40 

2.23 

17.UO    45.00 

2.30 

IS  00 

48.ro 

236- 

3.8 

15.50  |  40.8ft    2.24 

16.50 

44.65 

2.32 

17.50 

2.40 

18^50 

52.25 

2.4f> 

4.1> 

16.W     44.00  j  2.33 

17.00 

48.00 

2.42 

18.00!  52.00 

2.49 

19.00 

5600 

2.56 

4.8 

16.50 

47.25 

2.42 

17.50 

51.45 

2.51 

18.50!  55.65 

2.59 

19.50 

59>'o 

2f>6 

4.4 

17.00 

50.60 

2.51 

18.00 

56.00 

2.60 

19.00     59.40 

2.6-S 

20.00 

63.8) 

276 

4.6 

17.  •.0     54.05  •  -J.^j 

18.50 

5H.65 

2.69 

19.50     63  25 

2.77 

20.50 

67.85 

285 

4.8 

18.00!  57.60 

2.69 

19.00 

62.10 

2.78 

20.00     67.20 

•2.K7 

21.00 

72.00 

2.95= 

| 

V»...'iO.  61.25 

2.77 

19.50 

66.25  S  2.87 

2*0.50     71  .25 

2  95 

21.50 

76.25 

304 

5,V.: 

19.00  i   65.00 

2.86 

20.00 

70.20   2.96 

21.00     75.40 

8.05 

22.00 

80.6) 

313 

5.4 

'9  ,"iO     6*  <"• 

2.94 

20.50 

74.25   3.04 

21.50  i   7965 

314 

22.50 

8505 

3.22 

5.O 

20/si  '  7*2.80 

3.03 

21.00 

78.40 

3.13 

22.00  i  84.00 

323 

23.00 

896) 

331 

5-S 

20,50  ;   76.  -<5 

21.50 

82.65 

22.50;  88.45   3.31 

23.50 

94.25 

.3.40 

6.0 

21.00     ^l.'Xi 

320 

22.00 

87.00 

3.31 

•23.00  :   93.00J  3.41 

24.00 

99/0 

3.W 

6.3 

2l.50i  H5.25 

3.28 

22.50 

91.45 

339 

23.50  j   97.651  3.49 

24.50 

l:i3.85 

359 

6.4 

•22.00     Mt.tU' 

336 

23.00 

96.00 

347 

24.00  i  102.40  i  3.58 

25.(0 

10<.80 

8.6^ 

6.0 

22.50     94/5 

3.45 

23.00  100/5 

3.56 

24.50  1107.25 

3.67 

25.50 

11385 

376 

6,8 

l::5.i  ;o    98.60 

3.58 

24.00 

105.40 

3.6-5 

25.00  112.20 

3.75 

26.00 

119.CO 

3.85 

T.O- 

'23..r-Q  103.25 

:j  ff> 

24.50 

110.25 

3.74 

25.50  117.2.5 

3.81 

26.50 

12425 

394 

7.5 

24.7-i   115.31 

3^83 

25.75 

122.81 

395 

26.75 

130.31 

4.0J 

27.75 

137.81 

'  4.16 

8.0 

:*.oo  r.'s.iK. 

l.tKJ 

27.00 

1  36.00 

1.15 

28.00  i  144.00 

427 

29.00 

152/0 

4  3<V 

8.5 

27.25 

141.31 

4!24 

28.25 

1  19.S1 

4.36 

29.25  1  158.31 

4.48 

30.25 

166.81 

'  4'.59 

9.0 

2S.50   155.25 

4.44 

29.50 

164.25 

1.57 

30.50  !  173.25 

469 

31.50 

182.25 

:  4  80 

9.5 

29.75  1169.81 

4.64 

30.75 

179.31 

4.77 

31.75 

188.81 

4.90 

32.75 

198.31 

5.01 

1O- 

31  .(10 

185.00 

4.85 

32.00 

195.00 

498 

33.00 

205.00   5.10 

34.00 

215.00 

522 

1* 

33.-50  217.1:5 

5.25 

34.50  228.25 

5.38  _ 

85.50 

T.'9.':r)  1  5  51 

3(5.50  !  250.25 

6.  (A 

78 


HYDRAULIC    AND   EXCAVATION    TABLES. 


Table  IS).  —  Area  in  square  feet,  A>  top  width  in  feet  \   T,  and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels  \ 


one  side  slope  1  to  1  and  one  side  slope 


to  1  —  Con. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

10  feet. 

12  feet 

14  feet 

16  feet 

y 

:s  S 

1 

8  i 

t  i 

* 

r 

.1      :  §       « 
* 

T 

A 

I 

£ 

T 

A 

*  1 

T    \     A 

"  i 

;    H 

\ 

1 

It 

1! 

J* 

k 

is 

1.0 

12.50 

11.25     .86 

14.50 

13.25 

.87 

16.50 

15.25 

*9 

18.50 

17.25 

.90 

1.3 

13.00 

13.8  j!  1.00 

15.00 

16.20 

1. 

J2 

17.00 

18.60 

lio* 

19.00 

21.00 

1.06 

1.4 

13.50 

16.4?!  1-18 

15.50 

19.25 

1.17 

17.50 

22.05 

1.19 

19.50 

24.85 

1.21 

1.6 

14.00 

1920   1.27 

16.00 

22.40 

1. 

31 

18.00 

25.60 

1.34 

20.00 

28.80 

1.36 

1.8 

14.50 

22.05 

1.40 

16.50 

25.65 

1.44 

18.50 

29.25 

1.48 

20.50 

82.85 

1.51 

,i0 

15.00 

25.00 

1.52 

17.00 

29.00 

1.57 

19.00 

33.00 

1.61 

21.00 

87.00 

1.65 

^3 

15.50 

38.0S 

1.64 

17.50 

32.45 

1.70 

19.50 

36.85 

1.75 

21.50 

41.25 

1.79 

^5.4 

16.00 

31.20    1.76 

IB  00 

36.00 

1. 

83 

20.00 

40.80 

1.88 

22.00 

45.60 

1,92 

'j!e 

16.50 

34.451  1.88 

1*50 

39.65 

1. 

8 

20.50 

44.85 

2.01 

22.50 

50.05 

2.05 

2.8 

17.00 

37.80    1.99 

19.00 

43.40 

2.07 

21.00 

49.00 

2.13 

23,00 

54.60 

'2.18 

».o 

17.50 

41.25 

2.10 

19.50 

47.25 

2.18 

21.50 

53.25 

2.25 

23.50 

69.25 

2.30 

3!3 

18.00 

44.80 

2.21 

20.00 

51.20 

2. 

io 

22.00 

57.60 

2.37 

24.00 

64.00 

2.43 

3.4 

18.50 

48.45 

2.31 

20.50 

55.25 

41 

22.50 

62.05 

2.49 

24.50 

6S.85 

'2.56 

.19.09 

52.20 

2.42 

21.00 

59.40 

2*52 

23.00 

66.60 

2.60 

25.00    73.80 

2.68 

•*!8 

19.50 

56.05 

2,52 

21.50 

63.65 

2.63 

23.50 

71.25 

2.72 

25.50    78.85 

2.79 

4.O 

20.00 

60.00 

2.62 

22.00 

63.00 

2.73 

24.00 

76.00 

2.83 

26.00!  84.00 

2.91 

20.50 

64.05 

2.72 

22.50 

72.45 

2. 

Si 

24.50 

80.85 

2.94 

26.50    89.25 

3.02 

t.4 

21.00 

64.20 

2.82 

23.00 

77.00 

2.94 

25.00 

85.80 

3.05 

27.00 

94.60 

3.14 

4.6 

21.50 

72.45 

2.92 

2350 

81.05 

3. 

or. 

25.50 

90.85 

8.15 

27.50  100.05 

"3.25 

4.8 

22.00 

76.80 

3.02 

24.00 

86.40 

3.15 

26.00 

96.00 

3.26 

28.00 

105.60 

3.36 

5.O 

22.50 

81.25 

3.11 

24.50 

91.25 

8.24 

26.50 

101.25 

3.37 

28.50  111.25 

3.47 

5.3 

23.00 

85.80 

3.21 

25.00 

96.20 

3. 

J4 

27.00  106.60 

3.47 

29.00  117.00 

3.57 

5.4 

23.50 

90.45 

3.30 

25.50 

101.25 

3.44 

27.  50!  112.05 

3.57 

29.50  122.85 

3.68 

5.6 

24.00 

95.20 

3.39 

26.00 

106.40 

3. 

54 

28.00  117.60 

3.67 

30.00 

128.80 

3.78 

5.8 

2<*.50 

100.05 

3.49 

26.50  111.65 

3.64 

28.50 

123.25 

3.77 

30.50 

134.85 

3.89 

«.O 

25.00 

105.00 

3.58 

27.00  117.00 

3.74 

29.00 

129.00 

3.88 

31.00  141.00 

3.99 

tf*3 

25.50 

110.05 

3.67 

27.50 

122.45 

3.83 

29.50 

134.85 

3.97 

31.50 

117.25 

4.10 

6.4 
6.6 

26.00 

26.50 

115.20 
120.45 

3.76 
3.85 

28.00  128.00 
28.50!  133.65 

3.92 
4.02 

30.00 
30.50 

140.80 
146.85 

4.07 
4.17 

32.00  153.CO 
32.50  100.05 

4.20 
430 

H.8 

27.00 

125.80 

3.94 

29.00 

139.40 

4. 

11 

31.00 

153.00 

4.21 

33.00 

166.60 

4.40 

7.O 

27.50 

131.25 

4.04 

29,50 

145.25 

4.21 

31.50 

159.25 

4.36 

33.50 

173.25 

4.49 

J.5 

28.75 

145.31 

4.26 

30.75 

160.31 

4.44 

32.75 

175.81 

4.60 

34.75 

190.31 

4,74 

8.6 

30.00  i  160.00 

4.48 

32.00 

176.00 

4. 

56 

34.00 

192.00 

4.83 

36.00 

208.00 

4.98 

X.5 

31.25 

17551 

4.70 

33.25 

192.31  1  4.89 

35.25 

209.31 

5.06 

37.25 

226.31 

5.22 

u.o 

82.50 

191.25 

491 

34.50 

209.25 

5.11 

36.50 

227.25 

5.29 

38.50 

245.25 

5.46 

iiis 

33,75 

207.81 

5.18 

35.75 

226.81 

5. 

98 

37.75 

245.81 

5.51 

39.75 

204.81 

5.69 

to.o 

&5.00 

225.00 

5.34 

37.00 

245.00 

5.55 

39.00 

265.00 

5.74 

41.00 

285.00 

5.92 

10.5 

36.25 

242.81 

5.55 

35.25 

263.81 

5.77 

40.25 

284.81 

5.96 

42.25 

305.81 

6.15 

11 

37.5 

261.25 

5.76 

39.5 

283.25 

5.98 

41.5 

305.25 

6.18 

435 

327.26   6.37 

13 

40.0 

8,)0.00 

6.17 

42.0 

324.00 

6. 

11 

44.0 

348.00 

6.62 

-16.0 

372.00 

6.82.. 

13        42.5 

341.25 

6.59     44.5 

367.25 

6.82     46.5     393.25   7.05     48.5 

419.25   7.25 

HYDRAULIC   AND   EXCAVATION    TABLES. 


Table    (19. — Area  in  square  feet,   A,    top    width  in  feet,    T,   and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

one  side  slope  1  to  1  and  one  side  slope  IX  to  1— Cdn. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

iS  feet 

20  feet 

22  feet 

24  feet 

1 

«lt 

si 

#i 

ti 

§v 

T 

.-I 

S|t{ 

T 

.1 

i-  4^ 

T 

A 

sit 

T 

i    A 

'  *  S 

I 

I* 

i 

I 

i 

V. 

1.0 

20.50 

19.25 

.91 

22.  50!  21.25     .92 

21.50   23.25 

.92 

26.50 

25.25 

.93 

1.3 

21.00 

23.40;  1.07 

23.00 

25.801  1.08 

25.00   28.20 

J.09 

27.00 

30.601     1.10 

1.4 

21.50 

27.  65!  1.23 

23.50 

80.451  1.21 

25.5l»   33.25 

1.2,5 

27.  50 

36.05!    1.26 

1.6 

22.00 

32.00!  1.38 

24.  (X) 

35.20    1.40 

2C..OO   38.40 

1.41 

2S.  (H) 

41.601     1.43 

1.8 
2.0 

22.50 
23.00 

36.451  1.53 
41.00   1.68 

24.50 
25.00 

40.05!  1.55 
45.00   1.70 

26.50 
27.00 

43.65 
49.00 

1.57 
1.72 

R&60  47.25.    1.59 
29.00  53.00!.    1.74 

2.2 

23.50 

45.65   1.82 

25.  50   50.05 

1.S5 

27.50  64.461  1.87 

29.50  58.85!     1.89 

3.4 

24.00 

50.40   1.96 

26.00 

55.20 

1.99 

28.00   60.  (X) 

2.02 

30.00   64.80;    2.04 

2.6 

24.50 

55.25:  2.10 

26.50 

60.45   2.13 

2s.  50   65.65 

2.16 

30.  50!  70.85!     2.19 

2.8 

25.00 

60.20'  2.23 

i 

27.00 

65.80 

2.27 

29.00;  71.40 

2.30 

31.00  77.001    2.33 

3.O 

25.50   65.25J  2.36 

27.50 

71.25 

2.40 

29.  .50   77.25 

2.44 

31.50'  83.25 

2.47 

3.2 

26.00]  70.40J  2.19 

28.00!  76.80 

2.54 

30.00   83.20 

2.  •> 

32.00!  89.  60|    2.61 

3.4 

26.  50   7").  6")j  2.  61 

28.50 

82.45 

2.  f>6 

30.50'  89.25 

2.71 

32.50'  96.051     2.75 

3.6 

27.  OO!  81.00   2.74 

29.00 

88.20 

2.79 

ol.OO   95.40 

2.S4 

•W.(K)'102.60;     2.88 

3.8 

27.50|  8*i.4.V  2.-« 

29.50 

94.  05 

2.92 

31.50i  101.  65 

2.97 

3:3.50109.25!    3.02 

4.0 

28.00  92.00!  2.98 

30.00 

100.00 

3.  01 

32.00108.00  3.10 

34.00 

116.00 

3.15 

4.2 

28.50   97.65 

30.50106.05 

3.16 

32.  501  114.  45   3.22 

34.50122.85 

3.28 

4.4 
4.6 

2i).00;10;J.40:  3.22 
29.50'l09.25i  3.33 

31.00112.20 
31.50118.45 

3.29 
3.  .U) 

33.00121.00 
33.  50  127.  65 

3.H5 

3.47 

35.00;  129.  80 
35.50136.85 

3.40 
3.53 

4.8 

30.00 

115.201  3.44 

32.00 

124.  80 

3.  52 

34.00 

134.40 

3.  59 

36.00144.00 

3.65 

o.O 

30.50il21.2.r)'  3.56 

32.  .50 

131.25 

3.  64 

34.  50 

141.25 

3.71 

36.50 

151.25 

3.77 

5.2 

31.00127.40!  3.67 

33.00 

137.  80 

3.  75 

:i5.  «» 

14S.  20 

3.  Ni 

37.00158.60 

3.89 

5.4 

31.  50  133.  65;  3.7S 

33.  SO!  144.  45 

3.86 

35.50 

155.25 

3.  9-1 

37.  50  166.  05 

4.01 

5.6 

32.00140.00;  3.89 

34.00 

151.20 

3.  98 

36.00 

162.  40 

4.06 

3S.OO  173.  60 

4.13 

5.8 

32.50146.45 

3.99 

34.50 

158.05 

4.06 

36.50 

169.65 

4.17 

38.50181.25 

4.25 

43.O 

33.00 

153.00 

4.10 

35.00 

165.00 

4.20 

37.00 

177.00 

4.29 

39.00 

189.00 

4.37 

6.2 

33.50159.65,  4.20 

36.50172.05 

4.31 

37.  .50 

184.45 

4.40 

30.50196.85 

4.48 

6.4 

34.00166.40.  4.31 

36.00 

179.20 

4.41 

3S.  00 

192.00 

4.51 

40.00204.80 

4.59 

6.6 

34.50173.25   4.41 

36.5018(3.45 

4.52 

38.50 

199.65 

4.62 

40.50212.85 

4.71 

6.8 

35.00180.20  4.52 

37,00 

193.80 

4.63 

39.00 

207.40 

4.73 

41.00221.00 

4.82 

I 

7.0 

35.  50'  187.25!  4.62 

37.50201.25 

4.73 

39.50 

215.  25 

4.83 

41.50229.25 

4.93 

7.5 

36.  75 

205.31    4.87 

38.75220.31 

4.9S 

40.75 

235.31 

5.10 

42.75250.31 

6.20 

8.O 

38.00 

224.001  5.12 

40.00240.00 

5.24 

42.00 

256.00 

5.36 

44.00 

272.00 

6.47 

8.5 

39.  251243.  31 

5.37 

41.25260.31 

5.49 

43.25 

277.31 

5.62 

45.25,294.31 

6.73 

9.O 

40.50>263.25 

5.61 

42.50281.25 

5.74 

4-1.50 

299.25 

5.87 

46.50317.25 

5.99 

9.5 

41.75283.81 

5.S5 

43.75,302.81 

5.99 

45.  75 

321.81 

6.12 

47.75340.81 

6.25 

1O.O 

43.  001305.  00 

6.08 

45.00 

325.  00 

6.23 

47.00 

345.00 

6.37 

49.00'365.00 

6.50 

10.5 

44.25326.81 

6.31 

46.25 

347.81 

6.46 

48.25 

368.  81 

6.61 

50.25:189.81 

6.75 

11 

45.5  349.25 

6.54 

47.5 

371.25 

6.70 

49.5 

393.25 

6.  .85 

51.5 

415.25 

6.99 

12 

48.0  £96.00 

7.00 

50.0 

420.00 

7.17 

52.0 

444.00 

7.33 

54.0 

468.00 

7.48 

13 

50.5  (445.00 

7.44 

52.5 

471.25 

7.62 

54.5 

497.  25 

7.79 

56.5   52:5.25 

7.95 

JSYmtAULIC   AN0  EXCAVATION    TABLES. 


Table    19; — Area  in  square  feet,  A,   top  width  in  feet,   T,  and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

one  side  slope  1  to  1  and  one  side  slope  IX  to  1— Con 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

26  feet 

28  feet 

30  feet 

3  2  feet 

si 

s  £ 

«!& 

I; 

fe 

T 

A 

£.  jj 
a  t> 

T 

A 

C  jj 

01      0 

T 

A 

KLj 

a.  tJ 

T 

A 

sjt» 

A 

£ 

fs 

IE 

i  '# 

I 

I 

EL 

1 

1.0 

28.50 

27.25 

.93 

30.50 

29.25 

.94 

32.50 

31.25 

.94 

34.50 

33.25 

.94 

1.2 

29.00 

33.00 

1.10 

31.00 

35.  40 

1.11 

33.00 

3/.80 

1.12 

35.00 

40.20 

1.12 

1.4 

29.50 

38.85 

1.27 

31.50 

41.65 

1.28 

33.50 

44.  45 

1.29 

35.50 

47.25 

1.29 

1.6 

30.00 

44.80 

1.44 

32.00 

48.00 

1.45 

34.00 

51.20 

1.46 

36.00 

64.40 

1.46 

1.8 

30.60 

60.85 

1.60 

32.50 

64.45 

1.61 

34.50 

68.05 

1.62 

36.60 

61.65 

1.63- 

2.0 

31.00 

57.00 

1.76 

33.00 

61.00 

1.77 

35.00 

65.00 

1.78 

37.00 

69.00 

1.80 

2.2 

•31.50 

63.  25 

1.91 

33.50 

67.65 

1.93 

35.  5  J 

72.  ().-> 

1.94 

37.50 

76.45 

1.96 

2.4 

32.00 

69.60 

2.06 

34.00 

74.40 

2.08 

36.  OJi 

70.  20 

2.10 

38.00 

84.00 

2.11 

2.6 

32.50 

76.05 

2.21 

34.  5f 

81.25 

2.23 

36.  50 

86.  45 

2.25 

38.50 

91.65 

2.27 

;2.8 

33.00 

82.60 

2.36 

35.00 

88.20 

2.38 

37.00 

93.80 

2.40 

39.00 

99.40 

2.42 

3.0 

33.50 

89.25 

2.50 

35.60 

95.25 

2.53 

37.50 

101.25 

2.55 

39.50 

107.25 

8.57 

3.2 

34.00  96.00 

2.64 

36.00 

102.40 

2.68 

3S.  00  108.  80 

2.70 

40.00 

115.20 

2.72 

3.4 

34.  60  102.  85 

2.78 

36.50 

109.65 

2.82 

38.50 

116.45 

2.84 

40.50 

123.25 

2.87 

3.6 

35.00109.80 

2.92 

37.00 

117.00 

2.96 

39.00 

124.  20 

2.99 

41.00 

131.40 

3.02 

3.8 

35.  50  116.  85 

3.06 

37.  5( 

124.45 

3.09 

39.50 

132.05 

3.13 

41.50 

139.65 

3.16 

4.0 

36.00124.00 

3.19 

38.00 

132.00 

3.23 

40.00 

140.00 

3.27 

42.00 

148.00 

3.30 

4.2 

36.50131.25 

3.32 

38.50 

139.65 

3.36 

40.50 

148.05 

3.40 

42.50 

156.45 

3.44 

4.4 

37.00138.60 

3.45 

39.  (X 

147.40 

3.50 

41.00 

156.20 

3.  54 

43.00 

165.00 

3.5* 

4.6 

37.50146.05 

3.  58 

39.50 

155.25 

3.63 

41.50 

164.  45 

3.67 

43.50 

173.65 

3.71 

4.8 

38.00 

153.60 

3.71 

40.00 

163.20 

3.76 

42.00 

172.80 

3.80 

44.00 

182.40 

3.M 

5.0 

38.50 

161.25 

3.83 

40.50 

171.25 

3.88 

42.50 

181.  25 

3.93 

44.50 

191.25 

3.9H 

5.2 

39.00169.00 

3.95 

41.00 

179.  40 

4.01 

43.00 

189.  80 

4.06 

45.00 

200.20 

4.11 

5.4 

39.50176.85 

4.08 

41.50 

187.65 

4.14 

43.50 

198.45 

4.19 

45.  50'|209.  25 

4.24 

5.6 

40.00184.80 

4.20 

42.00 

196.00 

4.26 

44.00 

207.  20 

4.31 

46.  001218.  40 

4.37 

5.S 

40.50192.85 

4.32 

42.  5J 

204.45 

4.38 

44.50j216.0o 

4.  44 

46.50227.65 

4.49 

6.0 

41.00 

201.00 

4.44 

43.00 

213.  00 

4.50 

45.00225.00 

4.56 

47.00237.00 

4.62 

6.2 

41.  &>  209.  25 

4.56 

43.  5J1  221.  65 

4.62 

45.50)  234.  03 

4.68 

47.5jl246.45 

4.74 

6.4 

42.00217.601  4.67 

44.00230.40 

4.74 

46.00i243.20    4.80 

48.00J256.00 

!    4.87 

6.6 

42.60226.05!  4.79 

44.50239.25 

4.86 

46.  501252.45 

4.92 

48.  50  265.  65 

f    4.99 

6.8 

,43.00,234.60 

4.90 

45.00 

248.20 

4.98 

47.00J261.80 

5.04 

49.00 

275.40 

5.H 

7.0 

43.50'243.25 

5.01 

45.50 

257.25 

5.09 

47.50271.25 

5.16 

49.50 

285.25 

'•    6.23 

7.5 

44.75,265.31 

5.29 

46.75 

280.3i 

5.38 

48.75295.31 

5.45 

50.75 

310.31 

t    6.53 

8.0 

46.00 

288.00 

5.57 

48.00 

304.00 

5.66 

so.ooWoo 

5.74 

52.00 

336.00 

'.    5.82 

8.5 

47.25 

311.31 

5.84 

49.  25 

328.31 

5.93 

5i.25j345.31 

6.02 

53.25 

362.31 

6.1! 

9.0 

48,50 

335.25 

6.10 

50.51 

353.25 

6.20 

52.50'371.25 

6.30 

54.60 

389.  25 

6.3.) 

9.5 

49.  7S 

359.81 

6.36 

51.  7£ 

378.81 

6.47 

53.75397.81 

6.57 

65.75 

416.81 

;    6.66 

1O.O 

61.00 

385.00 

6.62 

63.  Of 

405.00 

6.73 

55.001  425.  00 

6.84 

57.00 

445.00 

(    6.93 

10.5 

52.  2£ 

410.81 

6.87 

54.  2£ 

431.  SJ 

6.99 

56.25 

452.81 

7.10 

58.25 

473.81 

,    7.20 

11 

53.5 

437.  25 

7.  12 

65.5 

459.  25 

7.25 

57.5 

4*1.  25 

7.36 

59.5 

503.25 

7.47 

12 

56.  0 

492.00 

7.62 

68.0 

516.  OJ 

7.75 

6J.O 

540.00 

7.87 

62.0 

564.00 

7.99 

13 

68.5 

549.25 

8.10 

63.5 

575.25 

8.24 

62.5 

601.25 

8.37 

64.5 

627.25 

8.50 

HYDRAULIC    AND    EXCAVATION    TABLKS. 


81 


Table  19«— ^rar  in  square  feet,  A,  top  width  in  feet,  T,  and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

one  side  slope  1  to  1  and  one  side  slope  1>£  to  1— Con . 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

35  feet 

40  feet 

45  feet 

50  feet 

I 

; 

A 

area 
wet  per. 

T 

A 

if 

T 

A 

LI 

T 

A 

area 
wet  per. 

' 

II 

II  * 

tf 

II 

li 

y 

h 

* 

1.0 

37.50 

36.25 

.95 

42.50 

41.25 

.95 

47.50 

46.25 

.96 

52.50 

51.25 

.96 

1.8 

38.00!  43.80 

1.13 

43.00 

49.80 

1.14 

48.00 

55.80 

1.14 

,53.00 

61.80 

1.15 

1.4 

88.50 

51.45 

1.30 

43.50 

5845 

1.31 

48.60 

66.45 

1.82 

53.50 

75.45 

133 

1.6 

39.00 

5920 

1.47 

44.00 

67.20 

1.49 

49.00 

75.20 

1.50 

64.00 

as  .20 

1  .51 

1.8 

39.50 

67.05 

1.64 

44.50 

76.05 

1.66 

49.50 

85.05 

1.67 

54.50 

94.05 

1.69 

8.0 

40.00 

75.00 

1.81 

45.00 

85.00 

1.83 

50.00 

96.00 

1.85 

55.00 

105.00 

1.86 

8.8 

83.0-") 

1.97 

'45.50  i  94.05 

2.00 

50.50 

105.05   2.02 

56.50 

116.05 

2.03 

8.4 

41.00 

91  20 

2.13 

46.00  1103  .20 

2.16 

51.00 

115.20 

219 

66.00 

127.2i) 

2.20 

3.6 

41.50 

99.45 

2.29 

46.50 

112.45 

2.33 

51.50 

125.45 

2.35 

66*0 

13845 

2.37 

8.8 

42.00 

107.80 

2.45 

47.00 

121.80 

2.49 

52.00 

135.801  2.51 

57.00 

149.80 

2.54 

3.0 

42.50 

116.25 

2.61 

47.50 

131.25;  2.65 

52.50 

146.  25  '  2.68 

57.60 

161.25 

271 

3.8 

43.00 

124.80 

2.76 

48.00)140.80   2.80 

53.00 

156.80 

2.84 

58.00 

172.80 

2.87 

3.4 

43.50 

133.45 

2.90 

48  50  '150.45    295 

53.50 

167.45 

299 

58.50 

184.45 

303 

3.6 

44.00 

142.20 

3.05 

49.00 

160.201  3.11 

54.00 

178.20 

3.15 

59.00 

196.20 

319 

3.8 

44.50 

151.05 

3.20 

49.50 

170.05  j  3.26 

54.50 

189.05 

3.30 

59.50 

208.05 

3.34 

4.0 

45.00 

160.00    3.34 

50.00 

180.00!  3.40 

5-5.00 

200.00    3.46 

60.00 

220.00 

3.50 

4.8 

45.50 

169.05 

3.48 

50.50:190.051  3.55 

55.50 

211.05:  3.ni 

60.50 

232().r; 

3.65 

4.4 

46.00 

178.20 

3.62 

51.00 

200.20;  3.70 

56.00 

222.20   3.76 

61.00 

24  1.20 

3.81 

4.6 

46.50 

187.45 

3.76 

51.50 

210.45    3.84 

56.50 

233.45 

390 

61.60 

266.45 

3.% 

4.8 

47.00 

196.80 

3.90 

52.00 

220.80!  3.98 

57.00 

244.80 

4.05 

62.00 

268.80 

4.11 

5.O 

47.50 

206.25 

4.04 

52.50 

231.25;  4.13 

57.50 

256.25 

4.20 

62.60 

281.25 

4.26 

5.8 

48.00 

215.80 

4.17 

53.00  241.80 

4.26 

58.00 

267.80 

434 

63.00 

293.80 

4.40 

5.4 

48.50 

225.45 

4.30 

53.50 

252.45 

4.40 

5850 

279.45 

4.48 

63.50 

30645 

4.65 

5.6 

49.00 

235.20 

443 

54.00 

263.20 

4.53 

59.00 

291.20 

4.62 

64.00 

319.20 

4.69 

5.8 

49.50 

245.05 

4.56 

54.50 

274.05 

4.67 

59.50 

303.05 

4.76 

64.50 

332.06 

4.83 

6.0 
6.8 

50.00  255.00 
50.50  265.0.', 

4.70 
4.82 

5500 

55.50 

285.00 
296.05 

4.81 
4.94 

(50.00 
60.50 

315.00 
327.05 

4.90 
5.04 

65.00 
65.50 

345.00 
358.05 

4.08 

5.12 

6.4 

51.00 

275.201  4.95 

56.00 

307.20 

5.07 

61.00 

339.20 

5.17 

66.00 

371.20 

6.2tt 

6.6 

51.50 

285.45 

5.07 

56.50 

318.45 

5.20 

6150 

851  .45 

5.30 

66.50 

384.45 

6.40 

6.8 

52.00 

295.80 

5.20 

57.00 

329.80 

6.33 

62.00 

363.80 

5.44 

67.00 

397.80 

5.53 

7.0 

52.50 

306.25 

5.82 

57.50 

341.25 

5.45 

62.50 

376.25 

5.57 

67.50 

411  .25 

5.67 

7.5 

58.75 

332.81 

5.62 

58.75 

370.31 

5.77 

63.76 

407.81 

5.90 

68.75 

445.31 

6.01 

8.O 

65.00 

360.00 

592 

60.00 

400.00 

6.08 

65.00 

440.00 

6.22 

70.00 

480.00 

6.84 

8.5 

56.25 

387.81 

6.22 

61.25 

430.31 

6.39 

66.25 

472.81 

6.54 

71.25 

515.31.  6.66 

!>.() 

57.50 

416.25 

6.51 

62.50 

461.25 

6.69 

67.50 

50625 

6.85 

72..  50 

551.25   6.  OR 

9.5 

58.75 

445.31 

6.79 

63.75 

492.81 

6.98 

68.75 

540.31 

7.15 

73.75 

587.81 

7.30 

1O.O 

60.00 

475.00 

7.07 

65.00 

525.00 

7.27 

70.00 

575.00 

7.45 

75.00 

625.00 

7.61 

10.5 

61.25 

505.81 

7.35 

66.25 

557.81 

7.56 

71.25 

610.31 

7.75 

76.25 

662.81 

7.91 

1 

11 

H2.5     536.25 

7.62 

67.5 

591.25 

7.84 

72.5 

646.25 

8.04 

77.5 

701.25 

8.21 

18 

d.r).0     60').  00 

8.15 

70.0 

660.00 

8.40 

75.0    1720.00 

8.61 

80.0 

780.00    8.8) 

13 

07.6    166625 
r,202°—  17- 

8.67 

781  .26.  8.94 

77.5   J  796.251  9.17 

82.5 

861  .25 

HYDBAULIC    AND    EXCAVATION    TABLES. 


Table  20. — Area   in    square  feet,   A,    top   width   in  feet,    T,   and 

hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 
one  side  slope  2  to  1  and  one  side  slope  iy2  to  1. 

(This  table  can  also  be  used  for  both  slopes  11:1.) 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

2  feet 

3  feet 

4  feet 

5  feet 

... 

»  i 

J      * 

s  S 

I 

£    ~ 

$ 

T        A 

-  1 

T 

A 

*     1 

T 

A 

a  | 

T 

A 

oa      "u 

il 

II 

ii 

II  " 

h 

k 

Ii 

0.4 

3.40 

1.08 

.30 

4.40 

1.48 

.32 

5.40 

1.88 

.33 

6.40 

2.28 

.34 

0.6 

4.10 

1.83 

.41 

5.10 

2.43 

.45 

6.10 

3.03 

.47 

710 

3.G3 

.49 

0.8 

4.80 

2.72 

.52 

5.80 

3.52 

.56 

6.80 

4.32 

.60 

7.80 

5.12 

.62 

1.0 

5.50 

375 

.62 

6.50 

4.75 

.67 

7.50 

5.75 

.72 

8.50 

6.75 

.75 

1.9 

6.20 

4.92 

.72 

7.20 

612 

.78 

8  20 

7.32 

.83 

9.20 

8.52 

.87 

1.4 

6.90 

6.23 

.81 

7.90 

7.63 

.88 

8.90 

9.03 

.94 

9.90 

10.43 

.98 

1.6 

7.60 

7.68 

.91 

8.60 

9.28 

.9S 

9.60 

10.8S 

1.04 

10.60 

12.48 

1.09 

1.8 

8.30 

9.27 

1.00 

9.30 

11.07 

1.08 

10.30 

12.87 

1.14 

11.30 

14.67 

1.21 

2.O 

900 

11.00 

1.09 

10.00 

13.00 

1.17 

11.00 

15.00 

1.24 

12.00 

17.00 

1.30 

2.2 

9.70 

12.87 

118 

10.70 

15.07 

1.27 

11.70 

17.27 

1.34 

12.70 

19.47 

1.40 

2.4 

10.40 

14.88 

1.27 

11.40 

17.28 

1.36 

12.40 

19.68 

1.44 

13.40 

22.08 

1.50 

2.6 

11  1) 

17.03 

1.36 

12.10 

19.63 

1.45 

13.10 

22.23 

1.53 

14.10 

24.83 

1.60 

2.8 

11.80 

19.32 

1.45 

12.80 

22.12 

1.55 

13.80 

24.92 

1.63 

14.80 

27.72 

1.70 

3.0 

1250 

21.75 

1.54 

13.50 

24.75 

1.64 

14.50 

27.75 

1.72 

15.50 

30.75 

1.80 

3.2 

1320 

24.32 

163 

14.20 

27.52 

1.73 

15.20 

30.72 

1.81 

16.20 

33.92    189 

3.4 

1390 

27.03 

1.72 

14.90 

30.43 

1.82 

15.93 

33.83 

1  91 

16.90 

37.23 

1.99 

3.6 

11.60 

29.88 

1.81 

15.60 

33.48 

1.91 

I6.«o 

37.08 

2.03 

17.60 

40.68 

208 

3.8 

15.30 

32.87 

1.89 

16.30 

36.67 

2.00 

17.30 

40.47 

2.09 

18.30 

44.27 

2.18 

4.0 

16.00 

3"  00 

1.98 

17.00 

40.00 

2.09 

18.00 

44.00 

2.18 

19.00 

48.00 

2.27 

4.2 

16.70 

S9.27 

2.07 

17.70 

43.47 

2.18 

18.70 

47.67 

2.27 

19.70 

61.87 

236 

4.4 

17.40 

42.6« 

2.16 

18.40 

47.08 

2.27 

19.40 

51.48 

2.36 

20.40 

55.88 

2.45 

4.6 

18.10 

46.23 

225 

19.10 

50.83 

2.36 

20.10 

55.43 

2.45 

21.10 

60.03 

2.54 

4.8 

18.80 

49.92 

2.33 

19.80 

54.72 

2.44 

20.80 

59.52 

2.54 

21.80 

64.32 

2.64 

5.0 

19.50 

53.75 

2.42 

20.50 

58.75 

2.53 

21.50 

63.75 

263 

22.50 

68.75 

2.73 

5.2 

2020 

57.72 

252 

21.20 

62.92 

2.62 

22.20 

68.12 

2.72 

23.20 

73.32 

2.82 

5.4 

20.90 

61.  «3 

261 

21.90 

67.23 

2.71 

22.90 

72.63 

2.81 

2390 

78.03 

291 

5.6 

21.60 

66.08 

2.68 

22.60 

71.68 

2.80 

23.60 

77.28 

290 

24.CO 

82.88 

3.00 

5.8 

22.30 

70.47 

2.77 

23.30 

76.27 

2.88 

24.30 

82.07 

2.99 

25.30 

87.87 

3.09 

6.O 

23.00 

75.00 

2.86 

24.00 

81.00 

2.97 

25.00 

87.00 

3.08 

26.00 

93.00 

3.18 

6.2 

23.70 

79.47 

2.94 

24.70 

85.67 

8.05 

25.70 

91.87 

3.16 

26.70 

98.07 

3.  26 

6.4 

24.40 

84.48 

3.03 

25.40 

90.88 

3.15 

26.40 

97.28 

3.26 

27.40 

103.68 

336 

6.6 

25.10 

89.43 

3.11 

26.10 

95.03 

3.24 

27.10 

102.63 

3.35 

28.10 

109.23 

3.45 

6.8 

25.80 

94.52 

3.20 

26.80 

101.32 

3.32 

27.80 

108.12 

3.44 

2S.8Q 

114.92 

3.54 

7.0 

26.50 

99.75 

3.29 

27.50 

10S.75 

341 

28.50 

113.75 

3.52 

29.50 

120.75 

3.<>3 

7.5 

28.25 

113.44 

3.51 

29.25 

120.94 

3.63 

30.25 

128.44 

3.74 

31.25 

135.94 

3.85 

8.O 

30.00 

12^.00 

3.73 

31.09 

136.00 

3.85 

32.00 

144.00 

397 

33.00 

152.00 

407 

8.5 

31.75 

143.44 

3.95 

32.75 

151.94 

4.07 

83.75 

160.44 

4.18 

34.75 

168.94 

4.29 

9.O 

33.50 

15075 

4.16 

31.59 

168.75 

4.29 

£5.50 

177.75 

4.40 

06.50 

'186.75 

4.52 

9.5 

35.25 

176.94 

4.38 

36.25 

186.44 

4.50 

37.25 

195.94 

4.62 

38.25 

205.44 

4.74 

to 

37.0 

195.00 

4.60 

38.0 

205.00 

4.72 

39.0 

215.00 

4.S4 

40.00 

225.00 

4.96 

It- 

_40.5_  J233.75;  f>.l)4 

41.5 

244.75    5.16 

42.5    ;  255.  75;  5.28^ 

43.50  2(56.75 

_6.40 

HYDRAULIC   AND   EXCAVATION    TABLES. 


83 


Table  2O. — Area  in  square  feet \  A^  top  width  in  feet,  7*,  and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

one  side  slope  2  to  1  and  one  side  slope  ~L%  to  1— Con. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  w  dth 

6  feet 

7  feet 

8  feet 

9  feet 

.4 

«      ^ 

s  & 

a  s 

£     £ 

I 

T 

A 

1     1 

T 

A 

«  1 

T 

A 

s  ! 

T 

A 

a  1 

II 

II 

II 

|| 

~ 

fc 

K 

I 

0.4 

7.40 

2.68 

.35 

8.40 

3.08 

.36 

9.40 

3.48 

.36 

10.40 

3.88      .37 

0.6 

8.10  1     4.23 

.50 

9.10 

4.83      .51 

10.10 

5.43      .52 

11.10 

6.03      .53 

0.8 

8.80 

5.92 

.64 

9.80 

6.72 

.66 

10.80 

7.52      .67 

11.80 

8.32 

.68 

l.O 

9.50 

7.75 

.77 

10.50 

8.75 

.79 

11.50 

9.75 

.81 

12.50 

10.75 

.82 

1.2 

10.20 

9.72 

.90 

11.20 

10.92 

.92 

12.20 

12.12 

.94 

13.20 

13.32 

.96 

1.4 

10.90 

11.83  i  1.02 

1190 

13.-3 

1.04 

12.90 

14.63 

1.07 

13.90 

16.03 

1.09 

1.6 

11.60 

14.08 

1.13 

12.60 

15.6S 

1.16 

13.60 

17  .'2S 

1.19 

1460 

18.88 

1.22 

1.8 

12.30 

16.47 

1.24 

.13.30 

18.27 

1.28 

14.30 

20.07 

1.31 

15.30 

21.87 

1.34 

2.O 

13.00 

19.00 

1.35 

14.00 

21.00 

1.39 

15.00 

23.00 

1.43 

16.00 

2-5.00 

1.46 

2.2 

13.70 

21.67 

1.46 

14.70 

23.87 

l..r)0 

15.70 

26.07 

1.54 

16.70 

28.27 

1.58 

2.4 

14.40 

24.48 

1.56 

15.40 

26.88 

1.61 

16.40 

29.28 

1.65 

17.40 

31.68 

1.69 

2.6 

15.10 

27.43 

1.66 

16.10 

30.08 

1.71 

17.10 

32.63 

1.76 

18.10 

35.23 

1.80 

2.8 

15.80 

30.52 

1.76 

16.80 

33.32 

1.82 

17.80 

36.12 

1.87 

18.80 

38.92 

1.91 

3.0 

16.50 

33.75 

1.86 

17.50 

36.75 

1.92 

18.50 

39.75 

1.98 

19.50 

42.75 

2.02 

3.2 

17.20 

37.12 

1.96 

18.20 

4).32 

2.02 

19.20 

43.52 

2.08 

20.20 

46.72 

2.13 

3.4 

17.90 

40.63 

206 

18.90 

44.03 

2.12 

19.90 

47.43 

2.18 

20.90 

50.83 

2.24 

3.6 

18.60 

44.28 

2.15 

19.60 

47.88 

2.22 

2060 

51.48 

2.28 

21.60 

55.08 

2.34 

3.8 

19.30 

48.07 

2.25 

20.30 

51.87 

2.32 

21.30 

55.67 

2.38 

22.30 

59.47 

2.44 

4.0 

20.00 

52.00 

2.35 

21.00 

56.00 

2.42 

22.00 

60.00 

2.48 

23.00 

64.00 

2.54 

4.2 

20.70 

56.07 

2.45 

21.70 

60.27 

2.51 

22.70 

61  47 

2.58 

23.70 

68.67 

2.64 

4.4 

21.40 

60.28 

2.54 

22.40 

64.68 

2.61 

2340 

69.0H 

268 

24.40 

73.48 

2.74 

4.6 

22.10 

64.63 

2.63 

23.10 

69.23 

2.71 

24.10 

7383 

2.78 

25.10 

78.43 

2.84 

4.8 

22.80 

69.12 

2.72 

23.80 

73.92 

2.80 

24.80 

78.72 

2.87 

25.80 

83.62 

2.94 

5.O 

23.50 

73.75 

2.81 

24.50 

7875 

289 

25.50 

83.75 

2.97 

26.50 

88.75 

3.04 

5.2 

24.20 

78.52 

2.91 

25.20 

83.72 

2.99 

26.20 

88.92 

3.06 

27.20 

94.12 

8.18 

5.4 

24.90 

83.43 

8.00 

25.90 

88.83 

3.08 

26.90 

94.23 

3.16 

27.90 

99.63 

3.23 

5.6 

25.60 

88.48 

3.09 

26.60 

94.08 

3.17 

27.60 

99.68 

3.25 

28.60 

105.28 

3.33 

5.8 

26.30 

93.67 

3.18 

27.30 

99.47 

3.27 

28.30 

105.27 

3.35 

29.30 

111.07 

3.42 

6.0 

27.00 

99.00 

3.27 

28.00 

105.00 

3.36 

29.00 

111.00 

3.44 

30.00 

117.00 

3.52 

6.2 

27.70 

104.27 

3.36 

28.70 

110.47 

3.45 

29.70 

116.67 

8.53 

30.70 

122.87 

3.61 

6.4 

28.40  |110.08 

3.46 

29.40 

116.48 

3.54 

30.40 

122.88 

363 

31.40 

129.28 

8.71 

6.6 

29.101115.83 

8.55 

83.10 

122.43 

3.64 

31.10 

129.03 

3.72 

32.10 

135.63 

3.80 

6.8 

29.80 

121.72 

8.64 

30.80 

128.52 

3.73 

31.80 

135.32 

3.81 

32.80 

142.12 

3.90 

7.O 

30.50 

127.75 

3.73 

31.50 

134.75 

3.82 

32.50 

141.75 

3.91 

33.50 

14S.75 

3.99 

7.5 

32.25 

143.44 

3.95 

33.25 

150.94 

4.05 

34.25 

158.44 

4.14 

35.25 

165.94 

4.22 

8.O 

34.00 

100.00 

4.17 

35.00 

168.00 

4.27 

36.00 

176.00 

4.37 

37.00 

184.00 

4.45 

8.5 

35.75 

177.44 

4.40 

36.75  185.94 

4.50 

37.75 

194.44 

4.59 

38.75 

202.94 

4.68 

9.O 

37.50 

195.75 

4.62 

38.50  1204.75 

4.72 

39.50 

213.75 

4.82 

40.50 

222.75 

491 

9.5 

;;9.2o 

214.94 

4.84 

40.25  224.44 

4.95 

41.25 

233.94 

5.04 

42.25 

243.44 

5.14 

10 

41.00 

235.00 

5.06 

42.00!  245.00 

5.17 

43.00 

255.00 

5.27 

44.00 

265.00 

5.36 

11 

44.50 

277.7,-) 

5.50 

45.501288.75 

5.61 

46.50 

299.75 

5.71 

47.50 

310.75 

5.82 

84 


HYDRAULIC   AISTD   EXCAVATION    TABLES. 


Table  2O. — Area  in  square  feet,  A,  top  width  in  feet,  T,  and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

one  side  slope  2  to  1  and  one  side  slope  1)^  to  1 — Con. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

10  feet 

12  feet 

14  feet 

16  feet 

3 

g      £ 

s  £ 

«  \ 

Elf 

I 

T 

A 

V 

T 

A 

te  1 

II 

T 

A 

c3    "S 
* 

T 

A 

41 

1! 

11 

i. 

11 

V 

V 

l.O 

13.50 

11.75 

.84 

15.50 

13.75 

.86 

17.50 

15.75      -87 

19.50 

17.7-".      .S9 

1.8 

14  20 

14.52 

.98 

1620 

Hi.  92 

1.00 

18.20 

1932    1.02 

2020 

21.72 

1.04 

1.4 

14.90 

1743 

1.11 

16.90 

20.23 

1.15 

18.90 

23.1  3   1.17 

20.90 

25.83 

1.19 

1.6 

15.60 

20.48 

1.24 

1760 

23.68 

1.28 

1960 

26.88 

1.31 

21.60 

30.08 

1.34 

1.8 

16.30 

28.67 

1.37 

18.30 

27.27 

1.41 

20.30 

30.87 

1.45 

22.30 

84.47 

1.48 

8.0 

17.00 

27.00 

1.49 

19.00 

31.00 

1.54 

21.00 

35.00 

1.58 

23.00 

39.00 

1.62 

8.8 

17.70 

3>.47;  1.61 

19.70 

34.87 

1.67 

21.70 

39.27 

1.72 

23.70 

4:167 

1.75 

3.4 

18.40 

34081  1.73 

2040 

38.88 

1.79 

22.40 

43.68   1.84 

24.40 

48  48 

1.89 

3.6 

19.10 

37.83 

1.84 

21.10  1  43.'  3 

1.91 

23.10 

48.23 

197 

25.10 

53.43 

2.02 

8.8 

19.80 

41.72 

1.96 

21.80 

47.32 

2.03 

23.80 

52.92 

2.09 

25.80 

68.52 

2.14 

3.0 

20.50 

45.75 

2.07 

22.50 

51.75 

2.15 

24.50 

57.75 

2.21 

26.50 

63.75 

227 

3.2 

21.20 

49.92 

2.18 

2.4.20 

56.32 

2.26 

25.20 

62.72 

2.33 

27.20 

69.12  i  2.39 

3.4 

21.90 

54,23    2.28 

23.90 

61.03 

2.37 

25.90 

67.83 

2.44 

2790 

74.63!  2.51 

3.6 

22.60 

5868 

2.39 

24.60 

6588 

2.48 

26.60 

73.08 

2.56 

2860 

80.28 

2.63 

3.8 

23.30 

63.27 

2.50 

25.30 

70.87 

2.59 

27.30 

78.47 

2.67 

29.30 

86.07 

2.74 

4.0 

24.00 

68.00 

2.60 

26.00 

76.00 

2.70 

28.00 

84.00 

2.78 

30.00 

92.00 

286 

4.3 

24.70 

7287 

2.70 

2fi.70 

81.27 

2.80 

28.70 

89.67 

2.89 

30.70 

98.07  1  2  97 

4.4 

25.40 

7788 

2.«0 

27.40 

86.68 

2.91 

29.40 

95.48 

3.00 

31.40 

104.28J  8.09 

4.6 

26.10 

83.03 

290 

2810 

92.23 

3.01 

30.10 

101  .43 

3.11 

82.10 

110.63    3.20 

4.8 

26.80 

88.32 

3.00 

28.80 

97.92 

3.12 

30.80 

107.52 

3.22' 

32.80 

117.12 

3.31 

5.0 

27.50 

93.75 

3.10 

29.50 

103.75 

3.22 

31.50 

118.75 

3.33 

33.50 

123.75 

3.42 

5.3 

28.20 

99.32 

3.20 

30.20  i  109.72 

3.33 

32.20 

120.12 

3.43 

3420 

130.52    8.53 

5.4 

28.90  105.03 

3.30 

30.90  115.83 

8.43 

32.90 

126.63 

3.54 

3490 

137.431  3.^3 

5.6 

29.60  !  110.88 

3.40 

31.60  122  .(8 

3.53 

33.60 

133.28 

3.64 

35.60 

14448!  3.74 

5.8 

30.30 

116.87 

3.50 

32.30 

128.47 

3.63 

34.30 

140.07 

3.74 

36.30 

151.67    3.85 

6.O 

31.00 

123.00 

3.59 

33.00 

135.00 

3.73 

35.00 

147.00 

3.84 

37.00 

159.00   3.95 

6.3 
6.4 
6.6 

31.70 

32.40 
33.10 

129.27 
135.68 
142.23 

3.69 
3.78 
3.88 

33701141.67 
34.40  1148.48 
35.10  155.43 

383 
3.92 
4.02 

35.70 
36.40 
37.10 

154.07 
161.28 
168.63 

3.95 
4.05 
4.15 

37.70 
38.40 
39.10 

166.47!  4.05 
174.08'  4.16 
181.  83  !  4.26 

6.8 

83.80 

148.92 

3.97 

35.80 

162.52 

4.12 

37.80 

176.12 

4.25 

89.80 

189.72 

4.36 

7.0 

34.50 

155.75 

4.07 

36.50 

169.75 

4.22 

38.50 

183.75 

4.35 

40.50 

197.75 

4.47 

7.5 

36.25 

173.44 

4.30 

38.25 

188.44 

4.46 

40.25 

203.44 

4.59 

42.25 

218.44 

4.72 

8.O 

38.00 

192.00 

454 

40.00 

20800 

4.69 

42.00 

224.00 

4.84 

44.00 

240.00 

4.97 

8.5 

39.75 

211.44 

4.77 

41.75 

228.44 

4.93 

43.75 

245.44 

5.08 

45.75 

262.44    5.22 

9.O 

41.50 

231.75 

5.00 

4350 

249.75 

5.17 

45.50 

267.75 

5.32 

47.50 

285.75i  5.46 

9.5 

43.25 

252.94 

5.23 

45.25  271.94 

5.40 

47.25 

290.94 

5.56 

49.25 

3u9.94 

5.70 

1O.O 

45.00 

275.00 

5.46 

47.00  295.00 

5.63 

49.00 

315.00 

5.79 

51.00 

335.00 

5.94 

10.5 

46.75 

297.94 

5.68 

48.75  318.94 

5.86 

5075 

339.94 

6.03 

52.75 

300.94 

6.18 

I 

11 

48.50 

821.75 

591 

50.50  313.75 

6.09 

52.50 

365.75 

6.26 

54.50 

387.75 

6.42 

18 

52.00 

372.00 

636 

5-4.0)  396.00 

6.55 

56.00 

420.00   6.72 

58.<>0 

444.00 

689 

13 

55.50  1425.75 

6.81 

57.50  451.75 

7.00 

59.50 

477.75   7.19 

61  50   503.751  7.35 

HYDRAULIC   AND  EXCAVATION   TABLES. 


85 


Ta/ble    20. — Area  in  square  feet,   A,   top   width  in  feet,    T,    ami 

hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

one  side  slope  2  to  1  and  one  side  slope  \]4  to  1— Con. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  width 

18  leet 

20  feet 

22  feet 

24  feet 

I 

-3 

S  o< 

3  £ 

& 

si 

1 

T 

A 

c  ., 

Oj     oj 

T 

A 

rt    *"* 

T 

A 

W 

T 

A 

"1 

l.O 
1.2 

21.50 
22.20 

19.75 

24.  12 

.90 
1.06 

23.50 
24.20 

21.75 
26.52 

.90 
1.07 

25.50 
26.  20 

23.  75 

28.  92 

.91 

1.08 

27.50 
28.20 

25.75 
31.32 

.92 
1.09 

1.4 

22.93 

28.63 

.21 

24.90 

31.43 

1.22 

26.90;  34.23 

1.24 

28.90 

37.  03 

1.25 

1.6 

23.  63 

33.28 

.36 

25.60 

36.48 

1.38 

27.60 

39.68 

1.39 

29.60 

42.88 

1.41 

1.8 

24.30 

38.07 

.51 

26.30 

41.67 

1.53 

28.30 

45.27 

1.55 

30.30 

48.87 

1.56 

2.0 

25.00 

43.00 

.65 

27.00 

47.00 

1.67 

29.00 

51.00 

1.70 

31.00 

55.00 

1.71 

2.2 

25.  70 

48.07 

.79 

27.70 

52.47 

1.82 

29.70   56.87 

1.84 

31.70 

61.27 

1.86 

2.4 

26.40 

53.28 

.92 

28.40 

58.08 

1.96 

30.40!  62.88 

1.98 

32.40 

67.68 

2.01 

2.6 

27.10 

58.63 

2.06 

29.10 

63.83 

2.09 

31.10;  69.03 

2.12 

33.  10 

74.23 

2.15 

2.8 

27.80 

64.12 

2.19 

29.80 

69.72 

2.23 

31.80i  75.32 

2.26 

33.80 

80.92 

2.29 

3.0 

28.50 

69.75 

2.31 

30.50 

75.75 

2.36 

32.50   81.75 

2.40 

34.50 

87.75 

2.43 

3.2 

29.20 

75.52 

2.44 

31.20 

81.92 

2.49 

33.20   88.32 

2.53 

35.20 

94.72, 

2.57 

3.4 

29.90 

81.43 

2.57 

31.90 

88.  23 

2.61 

33.90   95.03 

2.66 

35.90 

101.83 

2.70 

3.6 

30.60 

87.48   2.69 

32.  63 

94.68 

2.74 

34.60101.88 

2.79 

36.60 

109.  08 

2.83 

3.8 

31.30 

93.67   2.81 

33.30 

101.27 

2.86 

35.  30  108.  87 

I 

2.91 

37.30 

116.47 

2.% 

4.0 

32.00 

100.00  2.93 

34.00 

108.00 

2.99 

36.00116.00 

3.04 

38.00 

124.00 

3.09 

4.2 

32.70 

106.47   3.04 

34.70 

114.  87 

3.11 

36.  70!  123.  27 

3.16 

38.70 

131.  67 

3.21 

4.4 

33.40 

113.08   3.16 

35.40 

121.88 

3.23 

37.40130.68 

3.29 

39.40 

139.  48 

3.34 

4.6 

34.  10j  119.831  3.28 

36.10 

129.  03 

3.34 

38.10138.23 

3.41 

40.10 

147.43 

3.46 

4.8 

34.80126.72   3.39 

36.80 

136.32 

3.46 

38.80,145.92 

3.53 

40.80 

155.52 

3.58 

5.O 

35.50133.75   3.50 

37.50 

143.75 

3.58 

39.50153.75 

3.64 

41.50 

163.  75 

3.70 

5.2 

36.20140.92!  3.61 

38.20 

151.32 

3.69 

40.20161.72 

3.76 

42.20 

172.  12 

3.82 

5.4 

36.90148.23   3.72 

38.90 

159.  03 

3.80 

40.90169.83 

3.88 

42.90 

180.63 

3.94 

5.6 

37.60155.68   3.83 

39.  60 

166.88 

3.92 

41.60178.08 

3.99 

43.60 

189.  28 

4.06 

5.8 

38.30163.27 

3.94 

40.  30 

174.  87 

4.03 

42.30J186.47 

4.11 

44.30 

198.07 

4.18 

6.0 

39.0o!l71.00!  4.05 

41.00 

183.00 

.14 

43.00195.00 

4.22 

45.00 

207.00 

4.29 

6.2 

39.70178.87i  4.15 

41.70 

191.27 

.25 

43.70203.67 

4.33 

45.  701216.  07 

4.41 

6.4 

40.40186.88   4.26 

42.40199.68 

.35 

44.40,212.48,  4.44 

46.  40  225.  28 

4.52 

6.6 

41.10195.03   4.37 

43.  10  208.  23 

.46 

45.10;221.43|  4.55 

47.10234.63 

4.63 

6.8 

41.80i203.32 

4.47 

43.80216.92 

.57 

45.80 

230.52 

4.66 

47.  80  244.  12 

4.74 

7.0 

42.5o'211.75 

4.58 

44.  50  225.  75 

4.68 

46.50 

239.  75 

4.77 

48.  50  253.  75 

4.85 

7.5 

44.  251233.  44|  4.83 

46.252*8.44 

4.94 

48.25 

263.44 

5.04 

50.25278.44 

5.13 

8.0 

46.00'256.00   5.09 

48.00 

272.  00 

5.20 

50.00 

288.00 

5.30 

52.00304.00 

5.40 

8.5 

47.75,279.44   5.34 

49.  75 

296.44 

5.46 

51.75 

313.44 

5.56 

53.  75  330.  44 

5.67 

9.O 

49.50'303.75 

5.59 

51.50321.75 

5.71 

53.50 

339.  75 

5.82 

55.50 

357.  75 

5.93 

9.5 

51.25,328.94 

5.84 

53.25 

347.  94 

5.96 

55.25 

366.94 

6.08 

57.25 

385.94 

6.19 

1O.O 

53.00'355.00 

6.08 

55.00375.00 

6.21 

57.00395.00 

6.33 

59.00415.00 

6.45 

10.5 

54.75381.94 

6.32 

56.  75J402.  94 

6.45 

58.  75  423.  94 

6.58 

60.  75!  444.  94 

6.70 

11 

56.50 

409.75 

6.56 

58.501431.75 

6.70 

60.50 

453.  75 

6.83 

62.50J475.75 

6.95 

12 

60.03468.00 

7.04 

62.00492.00 

7.18 

64.00516.00 

7.32 

66.00540.00 

7.45 

13 

63.50529.75   7.51 

65.50555.75   7.66 

67.505S1.75 

7.81 

69.50607.75     7.94 

86 


HYDRAULIC    AND   EXCAVATION    TABLES. 


Table    20. — Area   in  square  feet,    A,    top   itidth   in  feel,    T,   and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

one  side  slope  2  to  1  and  one  side  slope  1  %  to  1— Con. 


Bottom  width 
26teet 

Bottom  width 
28  feet 

Bottom  width 
30  feet 

Bottom  width 
32  feet 

I 

T 

A 

g^ 

StJ 

T 

A 

area 
ct  per. 

T 

A 

i£ 

m   rj 

T 

A 

2j£ 

s« 

0 

£ 

'£ 

^ 

fp 

il 

II 

fc. 

h. 

1 

l.O 

29.50 

27.75 

.92 

31.50 

29.75 

.93 

33.50 

31.75 

.93 

35.50 

33.75 

.94 

1.3 

30.20 

33.72 

1.09 

32.20 

36.12 

1.10 

31.20 

38.  52 

1.10 

36.20 

40.92 

1.11 

1.4 

30.  90 

39.  S3 

.26 

32.  90 

42.63 

1.27 

34.  90 

45.43 

1.27 

36.90 

48.  23 

1.28 

1.6 

31.60 

46.08 

.42 

33.60 

49.28 

1.43 

35.  00 

52.48 

1.44 

37.60 

55.  6* 

1.45 

1.8 

32.30 

52.47 

.58 

34.30 

56.07 

1.59 

36.30 

59.67 

1.60 

38.30 

63.  27 

l.fil 

2.0 

33.00 

59.00 

.73 

35.00 

63.00 

1.75 

37.00 

67.00 

1.76 

39.00 

71.00 

1.77 

2.2 

33.70 

65.67 

.88 

35.70 

70.07 

1.90 

37.70 

74.47 

1.92 

39.  70 

78.87 

L93 

2.4 

34.40 

72.48 

2.03 

36.40 

77.28 

2.05 

38.40 

82.08 

2.07 

40.40 

8-3.  S> 

2.  OS 

2.6 

35.10 

79.43 

2.18 

37.10   84.63 

2.20 

39.10 

89.83 

2.  22 

41.10 

95.  (M 

2.24 

2.8 

35.80 

86.52 

2.32 

37.80   92.12 

2.34 

39.80 

97.72 

2.  36  841.  80 

103.32 

2.39 

3.O 

36.50 

93.75 

2.46 

38.50|  99.75 

2.49 

40.50105.75 

2.51 

42.50 

111.75 

2.53 

3.2 

37.20101.12 

2.60 

39.201107.52 

2.63 

41.20113.92 

2.65 

43.  20 

120.  32 

2.08 

3.4 

37.  90  108.  63 

2.73 

39.  901115.  43 

2.77 

41.90122.23 

2.79 

43.  901129.  03 

2.82 

3.6 

38.60116.28 

2.87 

40.60!  123.  48 

2.90 

42.60130.68 

2.93 

44.60:137.  Sit 

2.96 

3.8 

39.30124.07 

3.00 

41.30131.67 

3.04 

43.30 

139.  27 

3.07 

45.  30 

14S.  87 

3.  10 

4.0 

40.00132.00 

3.13 

42.00140.00 

3.17 

44.00 

148.00 

3.21 

46.00 

ttS.OO 

3.21 

4.2 

40.70140.07 

3.26 

42.70 

148.  47 

3.30 

44.70156.87 

3.34 

46.  70  165.  27 

3.  38 

4.4 

41.40148.28 

3.39 

43.  40 

157.  08 

3.43 

45.40165.88 

3.47 

47.  411  74.  68 

3.51 

4.6 

42.  10  156.  63 

3.51 

44.10 

165.  83 

3.56 

46.10175.03 

3.60 

48.10184.23 

3.64 

4.8 

42.80 

165.  12 

3.64 

44.80 

174.  72 

3.69 

46.80184.32 

3.73 

48.80193.92 

3.77 

5.0 

43.50 

173.  75 

3.76 

45.50 

m  75 

3.81 

47.  50193.  75 

3.86 

49.50203.75 

8.'  90 

5.2 

44.20182.52 

3.88 

46.20 

192.92 

3.94 

48.20203.32 

3.98 

50.  2  H213.  72 

4.03 

5.4 

44.90191.43 

4.00 

46.  90  202.  23 

4.06 

48.  90  213.  03 

4.11 

60.fcN223.83 

4.16 

5.6 

45.60200.48 

4.12 

47.60211.68 

4.18 

49.60222.88 

4.23 

51.60234.08 

4.29 

5.8 

46.30 

209.67 

4.24 

48.30 

221.27 

4.30 

50.30 

232.87 

4.36 

52.  30  244.  47 

4.  41 

6.0 

47.00 

219.00 

4.36 

49.00 

231.00 

4.42 

51.00 

243.00 

4.48 

53.00255.00 

4..v4 

6.2 

47.70228.47 

4.48 

49.  70  240.  87 

4.54 

51.70253.27 

4.60 

53.70j265.67 

6.4 

48.40238.08 

4.59 

50.  40  250.  8S 

4.68 

52.  4f>  263.  68 

4.72 

54.40276.48 

4.78 

6.6 

49.  10  247.  83 

4.71 

51.10261.03 

4.78 

53.  10  274.  23 

4.84 

55.102S/.43 

4.  PO 

6.8 

49.80 

257.  72 

4.82 

51.80271.32 

4.89 

53.80 

284.  92 

4.98 

55.80298.52 

5.02 

7.O 

50.50 

267.  75 

4.93 

52.50281.75 

5.01 

54.50 

295.  75 

5.07 

56.  50'  309.  75 

5.14 

7.5 

52.25 

293.44 

5.21 

54.25 

308.44 

5.29 

56.  25  323.  44 

5.36 

58.  25 

338.  44 

5.43 

8.0 

54.00 

320.00 

5.49 

56.00 

336.  00 

5.57 

58.00352.00 

5.65 

60.00 

368.  00 

5.72 

8.5 

55.75347.44 

5.76 

57.75 

364.44 

5.85 

59.  75  381.  44 

5.93 

61.75398.44 

6.01 

9.O 

57.  50  375.  75 

6.03 

59.  50 

393.  75 

6.12 

61.50411.75 

6.21  ! 

03.50429.75 

6.29 

9.5 

59.25 

404.94 

6.29 

6l.25J423.94 

6.39 

63.25,442.94 

6.48  ]  65.25461.94 

6.56 

1O.O 

61.00 

435.00 

6.55 

63.  00!  455.  00 

6.65 

65.  00  475.  00 

6.  75  1  67.  00  495.  00 

6.84 

10.5 

62.75 

465.  94 

6.81 

64.  75486.  94 

6.92 

66.  75  .507.  94 

1 

7.01  3  6S.  75  528.  94 

7.11 

11 

64.50 

497.  75 

7.07 

66.  501519.  75 

7.18 

68.505il.75 

7.28  !  70.50563.75 

7.38 

12 

68.  00  564.001  7.57 

70.  00  j  588.00 

7.63 

72.00612.00 

74.  Ort  636.  00 

7.90 

13 

71.  50  633.  7ol  8.07 

73.  501659.  75 

8.20 

75.  50  685.  75 

8.31  i  77.50711.75 

8.42 

HYDBAULIC   AND  EXCAVATION    TABLES. 


87 


Table  2iO.—Area  in  square  feet,  A,  top  width  in  feet,  T,  and 
hydraulic  radius  in  feet,  r,  of  trapezoidal  channels, 

one  side  slope  2  to  1  and  one  side  slope  1)£  to  1— Con. 


Bottom  width 

Bottom  width 

Bottom  width 

Bottom  widtl 

35  feet 

40  feet 

45  feet 

50  feet 

w 

u 

i 

i    . 

1 

T 

A 

§  I 

r 

A 

i  £ 

T 

•A     '  £3     "? 

T    !     A 

\ 

Q 

£ 

? 

ii 

I 

ii 
K 

ii 
k 

i 

l.O 

3^.50 

36.75 

.91 

43.50 

41.75 

.95 

48.50 

40.75 

.95 

53.6Q 

51.75 

.< 

1.3 

39.20 

44.52    1.12 

44.20     50.52 

1.13 

49.20 

5T..52    1.13 

54.20 

02.52 

1.1 

1.4 

39.90 

52.43    1.29 

44.90  j  59.43 

1.30 

49.90 

66.43  .  1  .31 

54.90 

73.48 

1  : 

1.6 

40.60 

6048'  1.46 

45.60 

68.48 

1.47 

50.60 

70.48  i  1.49 

55.60 

84.48 

1.1 

1.8 

41.30 

68.67,  1.62 

46.30 

77.67 

1.64 

51.30 

86.67  '  1  .66 

56.30 

95.07 

l.< 

3.O 

42.00 

77.00   1.79 

47.00 

87.00 

181 

52.00 

97.00 

1.83 

57.00  1  107.00 

1.J 

3.3 

42.70 

85.47 

1.95 

47.70 

96.47 

197 

52.70 

107.47 

1.9) 

57.70  118.  17 

2( 

3.4 

43.10 

94.08 

2.10 

48.40 

106.08 

2.13 

53.40 

118.08 

2.16 

5840  130.08 

2. 

3.6 

4410 

102.83 

2.26 

4910 

115.83 

2.29 

.54.10 

128.83 

2.32 

5910 

141.83 

2.1 

3.8 

44.80 

111.72 

2.41 

49.80  1125.72 

2.45 

51.80 

139.72 

2.48 

59.80 

153.72 

2. 

3.0 

45.50 

120.75 

2.f;6 

50.50 

135.75 

2.60 

55.50 

1.50.75 

2.64 

60.50 

105.75 

2.( 

3.3 

46.20  1-29.92 

2.71 

51.20 

145.92 

2.76 

56.20 

161.92!  2.80 

61.20 

177.  '.VI    2.1 

3.4 

46.90  '139  .23 

2.86 

51.90 

156.23 

2.91 

56.93 

173.23i  2.95 

61.90 

190  23    2.' 

3.6 

47.60 

1-1  8.  68 

3.00 

52.6) 

16668 

3.06 

57.60 

184.681  310 

62.60  2(>2.t;S    3. 

3.8 

48.30 

158.27 

3.14 

53.30 

177.27 

3.20 

58.30 

196.27    3.25 

63.30 

215.27 

3.' 

4.O 

49.00 

168.00 

3.28 

54.00 

188.00 

3.35 

59.00 

208.00    340 

64.00 

228.00 

3.' 

4.3 

49  .70  j  177.87 

3.42 

54.70 

198.87 

349 

59.70 

219.87 

3.55 

04.70  210.K7 

3.< 

4.4 

50.40  j  187  .88 

356 

55.40 

209.P8 

3.63 

60.40 

231.88 

3.70 

65.40 

253.88,  3  ' 

4.6 

51.101198.03 

3.70 

56.10 

221.03 

3.77 

61.10 

241.03 

3.84 

60.10 

267.03    3.' 

4.8 

51.80 

208.32 

3.83 

56.80 

232.32 

3.91 

61.80 

250.32  j  3.5)8 

66.80 

280.32 

4. 

5.0 

52.50 

218.75 

3ofi 

57.50 

243.75 

4.05 

62.50 

268.75!  4.12 

67.50 

293.75 

4 

5.3 

ft  5.20 

22^32 

4:09 

58.20 

255.32 

4.18 

63.20  281  32  j  4.26 

68.20 

307  32 

4. 

5.4 

53.90 

240.03 

4.22 

58.90 

267.03    4.32 

63.'JO  1294.18    4.40 

68.90 

321.03 

4. 

5.6 

.54.60 

250.88 

4.35 

59.60 

278.88    4.45 

64.60  3)6.88    4.49 

69.60 

334.88!  4. 

5.8 

55.30 

201.87 

4.48 

60.30 

290.87 

4.58 

65.30  [319.87 

4.67 

70.30 

348.87 

4. 

6.0 

56,00 

273.00 

4.61 

61.00 

303.00 

4.72 

66.00 

333.00 

4.81 

71.00 

303.00 

i. 

6.3 

56.70  !  284.27 

4.74 

61.70 

31527 

4.85 

66.70  340.27 

4.94 

71.70 

377.27|  5. 

6.4 

57.40  2  '5.0H 

4.86 

62.40 

327.68 

4.98 

67.40  359.68    5.08 

72.40 

391.68   5. 

6.6 

58.10  307.231  4.98 

63.10 

340  23 

5.10 

68.10  1373.23!  5.21 

73.10 

406.23    5. 

6.8 

58.80 

318.92    5.10 

63.80 

352.92 

5.23 

68.80 

386.92 

5.34 

73.80 

420.92 

:>. 

7.0 

59.50 

330.75 

5.23 

64.50 

365.75 

5.36 

69.50 

400.75 

5.47 

74.50 

435.75 

5. 

7.5 

61.25 

360.94 

5.53 

66.25 

398.44 

5.67 

71.25 

435.94 

5.79 

76.25 

473.44    5. 

8.0 

P3.00 

392.00 

5.82 

68.00 

432.00 

5.97 

7300 

472.00 

6.10 

78.00 

512.00 

6 

8.5 

64.75 

423.94 

6.11 

69.75 

466.44    6.28 

74.75 

508.94    G.41 

79.75 

551.4-1;  6. 

9.0 

66,50 

456.75 

6.40 

71.50 

501.75    6.57 

76.50 

546.  75  '  6.72 

81.50 

591.75 

6. 

9.5 

68.25  490.44 

6.68 

73.25 

537.94 

6.86 

78.25 

585.44,  7.02 

83.25 

632.94 

7. 

10.0 

70.00 

525.00 

6.96 

75.00 

575.00 

7.15 

80.00 

625.00;  7.32 

85.00 

675.00   7. 

10.5 

71.75  560.44!  7.24 

76.75 

612.94 

7.32 

81.75  065.44;  7.62 

86.75 

717.H4    7 

11 

73.50  596.75   7.51 

78.50 

051.75    7.72 

83.50  '706.75    7.90 

88.50 

761.75 

8. 

13 

77.00  672.00 

8.05 

82.00 

732.00    8.27 

87.00  792.00 

8.47 

92.00 

852.00    8. 

13 

80.50  750.75 

8.58 

85.50 

815.75.  8.82 

-S).75    9.03 

95.5!!   94.\75    <i. 

88 


HYDRAULIC    AND    EXCAVATION    TABLES. 


Table  21.  —Discharge  in  sec. -ft.  of  Cipolletli  and  suppressed,  thin- 
edged  rectangular -weirs ,  computed  from  (2=3.36"  LH1. 


Depth 

Length  of  weir  in  feet 

on 

crest 
(feet) 

100 

150 

200 

300 

400 

500 

GOO 

700 

809   900 

o.n 

0.3 

1 

1 

1 

1 

2 

2 

2 

3      3 

.02 

1.0 

1 

2 

3 

4 

5 

6 

7 

8      9 

.03 

1.8 

3 

4 

5 

7 

9 

11 

12 

14     16 

.01 

2.7 

4 

5 

8 

11 

13 

16 

19 

22     24 

.05 

3.8 

6 

8 

11 

15 

19 

23 

26 

30     34 

.06 

5.0 

7 

10 

15 

20 

25 

30    35 

40     45 

.07 

6.2 

9 

12 

19 

25 

31 

37    44 

50     ,% 

.08 

7.6 

11 

15 

23 

30 

38 

46    53 

61     M 

.09 

9.1 

14 

18 

27 

36 

45 

55    64 

73     82 

.10 

10.7 

16 

21 

32 

43 

53 

64    75 

85  ,    9(5 

.11 

12.3 

18 

25 

37 

49 

61 

74 

86 

98    111 

.12 

14.0 

21 

28 

42 

56 

70 

84 

98 

112 

126 

.13 

15.8 

24 

32 

47 

63 

79 

95 

110 

126 

142 

.14 

17.6 

26 

35 

53 

71 

88 

106 

123 

141  !   159 

.15 

19.6 

29 

39 

59 

78 

98 

117 

137 

156 

176 

.16 

21.6 

32 

43 

65 

86 

108 

129 

151 

172 

194 

.17 

23.6 

35 

47 

71 

94 

118 

142 

165 

189  j   2.12 

.18 

25.7 

39 

51 

77 

103 

129 

154 

180 

206    231 

.19 

27.9 

42 

56 

84 

112 

139 

167 

195 

223    251 

.20 

30.1 

45 

60 

90 

120 

151 

181 

211 

241    271 

.31 

32.4 

49 

65 

97 

130 

162 

194 

22T 

259 

292 

.32 

34.7 

52 

69 

104 

139 

174 

208 

243 

278 

313 

.23 

37.1 

56 

74 

111 

149 

186 

223 

260 

297 

334 

.24 

39.6 

59 

79 

119 

158 

198 

238 

277 

317 

356 

.35 

42.1 

63 

84 

126 

168 

210 

253 

295 

337 

379 

.36 

44.6 

67 

89 

134 

179 

223 

268 

312 

357 

402 

.37 

47.2 

71 

94 

142 

189 

236 

283 

331 

378 

425 

.28 

49.9 

75 

100 

150 

200 

249 

299 

3*9 

399 

449 

.29 

52.6 

79 

105 

158 

210 

263 

315 

368 

421 

473 

.30 

55.3 

83 

111 

166 

221 

277 

332 

387 

443 

498 

.31 

58.1 

87 

116 

174 

232 

291 

349 

407 

465 

523 

.32 

60.9 

91 

122 

183 

244 

305 

366 

427 

488 

548 

.33 

63.8 

96 

128 

191 

255 

319 

383 

447 

511 

574 

.34 

66.7 

100 

133 

200 

267 

334 

400 

467 

534 

601 

.35 

69.7 

105 

139 

209 

279 

349 

418 

488 

558 

627 

.36 

72.7 

109 

145 

218 

291 

364 

436 

509 

582 

654 

.37 

75.8 

114 

152 

227 

303 

379 

455 

530 

606 

682 

.38 

78.9 

118 

158 

237 

315 

394 

473 

552 

631  !   710 

.39 

82.0 

123 

164 

246 

328 

410 

492 

574 

656  1   738 

.40 

85.2 

128 

170 

256 

341 

426 

511 

596 

681 

767 

.41 

88.4 

133 

177 

265 

354 

442 

530 

619 

707 

795 

.42 

91.6 

137 

183 

275 

367 

458 

550 

641 

733 

825 

.43 

94.9 

142 

190 

285 

380 

475 

570 

665 

759 

854 

.44 

98.3 

147 

197 

295 

393 

491 

590 

688 

786 

884 

.45 

101.6 

152 

203 

305 

407 

508 

610 

711 

813 

915 

.46 

105.0 

158 

210 

315 

420 

525 

630 

735 

840 

945 

.47 

108.5 

163 

217 

325 

434 

542 

651 

759 

868 

976 

.48 

112.0 

168 

224 

336 

448 

560 

672 

784 

896 

1,008 

.49 

115.5 

173 

231 

346 

462 

577 

693 

808 

924 

1,039 

.50 

119.0 

179 

238 

357 

476 

595 

714 

833 

952 

1,071 

HYDRAULIC    AND    EXCAVATION    TABLES. 


89 


21. — Discharge  in  sec. -ft.  of  Cipolletti  and  suppressed,  thin- 
edged  red.  weirs,  computed  from  Q= 3-367  LIT1 — Continued. 


Depth 
on 
crest 
(feet) 

Length  of  weir  in  feet 

100 

150 

200 

300 

400 

500 

600 

700 

800 

900 

0.51 

122.6 

18i 

245 

368 

490 

613 

736 

858 

981 

1,104 

.52 

126.2 

ISO 

252 

379 

505 

631 

757 

884 

1,010 

1,136 

.53 

129.9 

195 

260 

390 

520 

650 

779 

909 

1,039 

1,169 

.54 

133.6 

200 

267 

401 

534 

668 

802 

935 

1,069 

1,202 

.55 

137.3 

206 

275 

412 

549 

687 

824 

961 

1,099 

1,236 

.56 

ui.i 

212 

282 

423 

564 

705 

847 

988 

1,129 

1.270 

.57 

144.9 

217 

290 

435 

580 

724 

869 

1,014 

1,159 

1,304 

.58 

148.7 

223 

297 

446 

595 

744 

892 

1,041 

1,190 

1,338 

.59 

152.6 

229 

305 

458 

610 

763 

915 

1,068 

1,221 

1,373 

.60 

156.5 

235 

313 

469 

626 

782 

939 

1,095 

1,252 

1,408 

.61 

160.4 

241 

321 

481 

642 

802 

962 

1,123 

1,283 

1,444 

.62 

164.4 

247 

329 

493 

657 

822 

986 

1,151 

1,315 

1.479 

.63 

168.3 

253 

337 

505 

673 

842 

1,010 

1,178 

1,347 

1.515 

.64 

172.4 

259 

345 

517 

689 

862 

1,034 

1,207 

1,379 

1,551 

.65 

176.4 

265 

353 

529 

706 

882 

1,059 

1,235 

1,411 

1,588 

.66 

ISO.  5 

271 

361 

542 

722 

903 

1,083 

1,264 

1,444 

1,625 

.67 

184.6 

277 

369 

554 

739 

923 

1,108 

1,292 

1,477 

1.662 

.68 

188.8 

283 

378 

566 

755 

944 

1,133 

1,321 

1,510 

1.699 

.69 

193.0 

289 

386 

579 

772 

963 

1,158 

1,351 

1,544 

1.737 

.70 

197.2 

296 

394 

592 

789 

986 

1,183 

1,380 

1,577 

1,775 

.71 

201.4 

302 

403 

604 

806 

1,007 

1,208 

1,410 

1,611 

1,813 

.72 

205.7 

309 

411 

617 

823 

1,028 

1,234 

1,440 

1,645 

1.851 

.73 

210.0 

315 

420 

630 

840 

.  1,050 

1,260 

1,470 

1,680 

1,890 

.74 

214.3 

321 

429 

643 

857 

1,072 

1,286 

1,500 

1,715 

1.929 

.75 

218.7 

328 

437 

656 

875 

1,093 

1,312 

1,531 

1,749 

1,968 

.76 

223.1 

334 

446 

669 

892 

1,115 

1,338 

1,561 

1.784 

2.008 

.77 

227.5 

341 

455 

682 

910 

1,137 

1,365 

1,592 

1,820 

2,047 

.78 

231.9 

348 

464 

696 

928 

1,160 

1,392 

1,623 

1,855 

2,087 

.79 

236.4 

356 

473 

709 

946 

1,182 

1,418 

1,655 

1,891 

2,128 

.80 

240.9 

361 

482 

723 

964 

1,205 

1,445 

1,686 

1,927 

2,168 

.81 

245.4 

3G8 

491 

736 

982 

1,227 

1,473 

1,718 

1,963 

2.209 

.83 

250.0 

375 

500 

750 

1,000 

1,250 

1,500 

1,750 

2,000 

2,250 

.83 

254.6 

382 

509 

764 

1,018 

1,273 

1,527 

1,782 

2,037 

2,291 

.84 

259.2 

389 

518 

778 

1,037 

1,296 

1,555 

1,814 

2,074 

2.333 

.85 

263.8 

396 

528 

792 

1,055 

1,319 

1,583 

1,847 

2,111 

2,374 

.86 

268.5 

403 

537 

806 

1,074 

1,343 

1,611 

1,880 

2,148 

2,417 

.87 

273.2 

410 

546 

820 

1,093 

1,366 

1,639 

1,912 

2,186 

2.459 

.88 

277.9 

417 

556 

834 

1,112 

1,390 

1,668 

1,945 

2,223 

2.501 

.89 

282.7 

424 

505 

848 

1,131 

1,413 

1,696 

1,979 

2,261 

2.544 

.90 

287.5 

431 

575 

862 

1,150 

1,437 

1,725 

2,012 

2,300 

2,587 

.91 

292.3 

438 

535 

877 

1,169 

1,461 

1,754 

2,046 

2,338 

2,630 

.93 

297.1 

446 

594 

891 

1,188 

1,485 

1,783 

2,080 

2.377 

2.674 

.93 

301.9 

453 

604 

906 

1,208 

1,510 

1,812 

2,114 

2,416 

2,717 

.94 

306.8 

460 

614 

920 

1,227 

1,534 

1,841 

2,148 

2,455 

2.761 

.95 

311.7 

468 

623 

935 

1,247 

1,559 

1,870 

2,182 

2,494 

2,806 

.96 

316.7 

475 

633 

950 

1,267 

1,583 

1,900 

2,217 

2,533 

2,850 

.97 

321.6 

482 

643 

965 

1,287 

1,608 

1,930 

2,251 

2,573 

2.895 

.98 

326.6 

490 

653 

980 

1,306 

1,633 

1,960 

2,286 

2,613 

2,940 

.99 

331.6 

497 

663 

995 

1,327 

1,658 

1,990 

2,321 

2,653 

2,985 

1.00 

336.7 

505 

673 

1,010 

1,347 

1,683 

2,020 

2,357 

2,693 

3,030 

90 


HYDRAULIC    AND    EXCAVATION    TABLES. 


Table  21. — Discharge  in  sec.-ft.  of  Cipolletti  and  suppressed,  thin- 
edged  rect.  weirs,  computed  from  0=3.367  LH^ — Continued. 


Depth 

Length  of  weir  in  feet 

on 

1 

crest 
(feet) 

100 

300 

300 

400 

500 

600 

700 

800 

900 

1.01 

341.7 

683 

1,025 

1,367 

1,709 

2,050 

2,392 

2,734 

3.07( 

1.02 

346.8 

694 

1,040 

1,387 

1,734 

2,081 

2,428 

2.775 

3,121 

1.03 

351.9 

704 

1,056 

1,408 

1,760 

2,112 

2,464 

2,815 

3,167 

1.04 

357.1 

714 

1,071 

,428 

1,785 

2,142 

2,499 

2,857 

3,214 

1.05 

362.2 

724 

1,087 

1,449 

1,811 

2,173 

2,536 

2,898 

3.26C 

1.06 

367.4 

735 

1,102 

1,470 

1,837 

2,205 

2,572 

2,939 

3,307 

1.07 

372.6 

745 

1,118 

,491 

1,863 

2,236 

2,608 

2,981 

3,354 

1.08 

377.9 

756 

1,134 

,511 

1,889 

2,267 

2,645 

3,023 

3,40] 

1.09 

383.1 

766 

1,149 

,532 

1,916 

2,299 

2,682 

3,065 

3,44* 

1.10 

388.4 

777 

1,165 

1,554 

1,942 

2,330 

2,719 

3,107 

3.49C 

1.11 

393.7 

787 

1,181 

,575 

1,969 

2,362 

2,756 

3,150 

3,542 

1.13 

399.0 

798 

1,197 

,596 

1,995 

2,394 

2,793 

3.192 

3,59] 

1.13 

404.4 

809 

1,213 

,618 

2,022 

2,426 

2,831 

3,235 

3,641 

1.14 

409.8 

820 

1,229 

,639 

2,049 

2,459 

2,869 

3,278 

3.68J 

1.15 

415.2 

830 

1,246 

,661 

2,076 

2,491 

2,906 

3,322 

3,737 

1.16 

420.6 

841 

1,262 

,682 

2,103 

2,524 

2,944 

3,365 

3.78C 

1.17 

426.1 

852 

1,278 

,704 

2,130 

2,556 

2,982 

3,409 

3,83£ 

1.18 

431.5 

863 

1,295 

,726 

2,158 

2,589 

3,021 

3,452 

3,884 

1.19 

437.0 

874 

1,311 

,748 

2,185 

2,622 

3,059 

3,496 

3.93J 

1.20 

442.6 

885 

1,328 

,770 

2,213 

2,655 

3,098 

3,540 

3.98S 

1.21 

448.1 

896 

1,344 

1,792 

2,240 

2,689 

3,137 

3,585 

4.035 

1.22 

453.7 

907 

1,361 

1,815 

2,268 

2,722 

3,176 

3,629 

4,08c 

1.23 

459.3 

919 

1,378 

1,837 

2,296 

2,756 

3,215 

3,674 

4,13c 

1.24 

464.9 

930 

1,395 

1,859 

2,324 

2,789 

3,254 

3,719 

4,184 

1.25 

470.5 

941 

1,412 

1,882 

2,353 

2,823 

3,294 

3,764 

4,23.: 

1.26 

476.2 

952 

1,428 

1,905 

2,381 

2,857 

3,353 

3,809 

4,28£ 

1.27 

481.8 

964 

1,446 

1,927 

2,409 

2,891 

3,373 

3,855 

4,337 

1.28 

487.5 

975 

1,463 

1,950 

2,438 

2,925 

3,413 

3,900 

4,388 

1.29 

493.3 

987 

1,480 

1,973 

2,466 

2,960 

3,453 

3,946 

4,43t 

1.30 

499.0 

998 

1,497 

1,996 

2,495 

2,994 

3,493 

3,992 

4,491 

1.31 

504.8 

1,010 

1,514 

2,019 

2,524 

3,029 

3,534 

4,038 

4,54? 

1.32 

510.6 

1,021 

1,532 

2,042 

2,553 

3,063 

3,574 

4,085 

4,59.r 

1.33 

516.4 

1,033 

1,549 

2,066 

2,582 

3,098 

3,615 

4,131 

4,64? 

1.34 

522.2 

1,044 

1,567 

2,089 

2,611 

3,133 

3,656 

4,178 

4.70C 

1.35 

528.1 

1,056 

1,584 

2,112 

2,640 

3,168 

3,697 

4,225 

4,752 

1.36 

534.0 

1,068 

1,602 

2,136 

2,670 

3,204 

3,738 

4,272 

4,80( 

1.37 

539.9 

1  ,OSO 

1,620 

2,159 

2,699 

3,239 

3,779 

4,319 

4,85£ 

1.38 

545.8 

1,092 

1,637 

2,183 

2,729 

3,275 

3,820 

4,366 

4,912 

1.39 

551.7 

1,103 

1,655 

2,207 

2,759 

3,310 

3,862 

4,414 

4,96f 

1.40 

557.7 

1,115 

1,673 

2,231 

2,788 

3,346 

3,904 

4,462 

5,01t 

1.41 

563.7 

1,127 

1,691 

2,255 

2,818 

3,382 

3,946 

4,509 

5,07? 

1.43 

569.7 

1,139 

1,709 

2,279 

2,848 

3,418 

3,988 

4,557 

5,127 

1.43 

575.7 

1,151 

1,727 

2,303 

2,879 

3,454 

4,030 

4,606 

5,181 

1.44 

581.8 

1,164 

1,745 

2,327 

2,909 

3,491 

4,072 

4,654 

5.23C 

1.45 

587.8 

1,176 

1,763 

2,351 

2,939 

3,527 

4,115 

4,703 

5.29C 

1.46 

593.9 

1,188 

1,782 

2,376 

2,970 

3,564 

4,157 

4,751 

5.34S 

1.47 

600.0 

1,200 

1,800 

2,400 

3,000 

3,600 

4,200 

4,800 

5,400 

1.48 

606.2 

1,212 

1,819 

2,425 

3,031 

3,637 

4,243 

4.849 

5,4.% 

1.49 

612.3 

1,225 

1,837 

2,449 

3,062 

3,674 

4.286 

4,899 

5,511 

1.50 

618.5 

1,237 

1,856 

2,474 

3,092 

3,711 

4,330 

4,948 

S.fiOt 

HYDRAULIC    AND    EXCAVATION    TABLES. 


91 


Table  21.— Discharge  in  sec.-ft.  of  Cipolletti  and  suppressed,  thin- 
edged  red,  -weirs,  computed  from  Q= 3.367  LIT1— Continued. 
Length  of  weir  in  feet 


Depth 

on 
crest 
(feet) 


100         290 

300 

400 

500         600 

700 

800 

900 

624.7       1,249 

1,874 

2,499 

3,123 

3,748 

4,373 

4,998 

5,622 

630.9      1,262 

1,893 

2,524 

3,155 

3,785 

4,416 

5,047 

5.678 

637.1   i    1,274 

1,911 

2,549 

3,186 

3,823 

4,460 

5,097 

5,734 

643.4 

1,287 

1,930 

2,574 

3,217 

3,860 

4,504 

5.147 

5,791 

649.7 

1,299 

1,949 

2,599 

3,248 

3,898 

4,548 

5,197 

5,847 

656.0 

1,312 

1,968 

2,624 

3,280 

3,936 

4,592 

5,248 

5,904 

662.3 

1,325 

1,987 

2.649 

3,311 

3,974 

4,636 

5,298 

5,961 

668.6 

1,337 

2,006 

2,675 

3,343 

4,012 

4,680 

5,349 

6,018 

675.0 

1,350      2,025 

2,700 

3,375 

4,050 

4,725 

5,400 

6,075 

681.4 

1,363 

2,044 

2,725 

3,407 

4,088 

4,770 

5,451 

6,132 

687.8 

1,376 

2,063 

2,751 

3,439 

4,127 

4,814 

5,502 

6,190 

694.2 

1,388 

2,083 

2,777 

3,471 

4,165 

4,859 

5,553 

6,248 

700.6 

1,401 

2,102 

2,802 

3,503 

4,204 

4,904 

5,605 

6,306 

707.1 

1,414 

2,121 

2,828 

3,535 

4,242 

4,950 

5,657 

6,364 

713.6 

1,427 

2,141 

2,854 

3,568 

4,281 

4,995 

5,708 

6,422 

720.0 

1,440 

2,160 

2,880 

3,600 

4.320 

5,040 

5,760 

6,480 

726.6 

1,453 

2,180 

2,906 

3,633 

4,359 

5,086 

5,813 

6.539 

733.1 

1,406 

2,199 

2.932 

3,666 

4,399 

5,132 

5,865 

6,598 

739.7 

1,479 

2,219 

2,959 

3,698 

4,438 

5,178 

5,917 

6,657 

746.2 

1,492 

2,239 

2,985 

3,731 

4,477 

5,224 

5,970 

6,716 

752.8 

1,506 

2,258 

3,011 

3,764 

4,517 

5,270 

6,023 

6,775 

759.4 

1,519 

2,278 

3,038 

3,797 

4,557 

5,316 

6,076 

6,835 

766.1 

1,532 

2,298 

3,064 

3,830 

4,596 

5,362 

6,129 

6,895 

772.7 

1,545 

2,318 

3,091 

3,864 

4,636 

5,409 

6,182 

6,954 

779.4 

1,559 

2,338 

3,118 

3,897 

4,676 

5,456 

6,235 

7,015 

786.1 

1,572 

2,358 

3,144 

3,930 

4,716 

5,503 

6,289 

7,075 

792.8 

1,586 

2,378 

3,171 

3,964 

4,757 

5,550 

6,342 

7,135 

799.5 

1,599 

2,399 

3,198 

3,998 

4,797 

5,597 

6,396 

7,196 

806.3 

1,613 

2,419 

3,225 

4.031 

4,838 

5,644 

6,450 

7,256 

813.0 

1,626 

2,439 

3,252 

4,065 

4,878 

5,691 

6,504 

7,317 

819.8 

1,640 

2,459 

3,279 

4,099 

4,919 

5,739 

6,559 

7,378 

826.6 

1,653 

2,480 

3,306 

4,133 

4,960 

5,786 

6,613 

7,440 

833.4 

1,667 

2,500 

3,334 

4,167 

5,001 

5,834 

6,668 

7,501 

840.3 

1.681 

2,521 

3,361 

4,201 

5,042 

5,882 

6.722 

7,563 

847.1 

1,694 

2,541 

3,389 

4,236 

5,083 

5,930 

6,777 

7,624 

854.0 

1,708 

2,562 

3,416 

4,270 

5,124 

5,978 

6,832 

7,686 

860.9 

1,722 

2,583 

3,444 

4,305 

5,166 

6,026 

6.887 

7,748 

867.8 

1,736 

2,603 

3,471 

4,339 

5.207 

6,075 

6,943 

7,810 

874.8 

1,750 

2,624 

3,499 

4,374 

5,249 

6,123 

6,998 

7.873 

881.7 

1,763 

2,645 

3,527 

4,409 

5,290 

6,172 

.7,054 

7,935 

888.7 

1,777 

2,686 

3,555 

4,443 

5,332 

6,221 

7,110 

7,998 

895.7 

1,791 

2,687 

3,583 

4,478 

5,374 

6,270 

7,165 

8,061 

902.7 

1,805 

2,708 

3,611 

4,513 

5,416 

6,319 

7,221 

8,124 

909.7 

1,819 

2,729 

3,639 

4,549 

5.458 

6,368 

7,278 

8,187 

916.8 

1,834 

2,750 

3,667 

4,584 

5,500 

6,417 

7,334= 

8,251 

923.8 

1,848 

2,771 

3,695 

4,619 

5,543 

6,467 

7,390 

8,314 

930.9 

1,862 

2,793 

3,724 

4,654 

5,585 

6,516 

7,447 

8,378 

938.0 

1,876 

2,814 

3,752 

4,690 

5.628 

6,566 

7,504 

8,442 

945.1 

1,890 

2,835 

3.780 

4.726 

5,671 

6.616 

7,561 

8.506 

952.2 

1,904 

2,857      3,809 

4,761 

5,713 

6,666 

7,618 

8,570 

HYDRAULIC    AND    EXCAVATION    TABLES. 


Table  21. — Discharge  in  sec. -ft.  of  Cipolletti  and  suppressed,  thin- 
edged  rect.  weirs,  computed  from  Q=3-36?  LH? — Continued. 


Depth 
on 

crest 
(feet) 

Length  of  weir  in  feet 

100 

200 

300   400 

500 

600 

700 

800 

900 

3.1 

1,024.5 

2,049 

3,074 

4.098 

5,123 

6,147 

7,172 

8,196 

9,221 

2.58 

1,098.6 

2,197 

3,296   4.394 

5,493 

6,592 

7,690 

8,789 

9,887 

3.3 

1,174.3 

2,349 

3,5231  4,697 

5,872 

7,046 

8,220 

9,395 

10,569 

2.4 

1,251.7 

2,504 

3,755 

5,007 

6,259 

7,510 

8,762 

10,014 

11,266 

3.5 

1,330.8 

2,662 

3,992 

5,323 

6,654 

7,985 

9,316 

10,646 

11,977 

2.6 

1,411.4 

2,823 

4.234 

5,646 

7,057 

8,469 

9,880 

11,291 

12,703 

2.7 

1,493.6 

2,987 

4,481 

5,975 

7,468 

8,962 

10,455 

11,949 

13,443 

2.S 

1,577.4 

3,155 

4,732 

6,310 

7,887 

9,464 

11,042 

12,619 

14,196 

2.9 

1,662.6 

3,325 

4,988 

6,651 

8.313 

9,976 

11,638 

13,301 

14,964 

3.0 

1,749.4 

3,499 

5,248 

6,997 

8,747 

10,496 

12,246 

13,995 

15,744 

3.1 

1,837.6 

3,675 

5,513 

7,350 

9,188 

11,025 

12,863 

14,700 

16,538 

3.2 

1,927.2 

3,854 

5,782 

7,709 

9,636 

11,563 

13,490 

15,418 

17,345 

3.3 

2,018.2 

4,036 

6,055 

8,073 

10,091 

12,109 

14.128 

16,146 

18,164 

3.4 

2,110.7 

4.221 

6,332 

8,443 

10,553 

12,664 

14,775 

16,885 

18,996 

3.5 

2,204.5 

4,409 

6,613 

8,818 

11,022 

13,227 

15,431 

17,636 

19,840 

3.8 

2,299.6 

4,599 

6,899 

9,198 

11,498 

13,798 

16,097 

18,397 

20,696 

3.7 

2,396.1 

4,792 

7,188 

9,584 

11.980 

14,377 

16,773 

19,169 

21,565 

3.8 

2,493.9 

4,988 

7,482   9..97S 

12,469 

14,963 

17,457 

19,951 

22,445 

3.9 

2,593.0 

5,186 

7,779 

10,372 

12,965 

15,558 

18,151 

20,744 

23,337 

4.0 

2,693.3 

5,387 

8,080 

10,773 

13,467 

16,160 

18,853 

21,547 

24,240 

4.1 

2,795.0 

5,590 

8,385 

11,180 

13,975 

16,770 

19,565 

22,360 

25,155 

4.3 

2.897.8 

5,796 

8,694 

11,591 

14.489 

17,387 

20,285 

23,183 

26,081 

4.3 

3,001.9 

6,004 

9,006 

12,008 

15,010 

18,012 

21,014 

24,016 

27,018 

4.4 

3.107.3 

6,215 

9,322 

12,429 

15,536 

18,644 

21,751 

24,858 

27,965 

4.5 

3,213.8 

6,428 

9,641 

12,855 

16,069 

19,283 

22,497 

25,710 

28,924 

4.6 

3,321.5 

6,643 

9,965 

13,286 

16,608 

19.929 

23,251 

26,572 

29,894 

4.7 

3,430.4 

6,861 

10,291 

13,722 

17,152 

20,583 

24,013 

27,443 

30,874 

4.8 

3,540.5 

7,081 

10.621 

14,162 

17,702 

21,243 

24,783 

28,324 

31,864 

4.9 

3,651.7 

7,303 

10,955 

14,607 

18,258 

21,910 

25,562 

29,214 

32,865 

5.0 

3,764.0 

7,528 

11,292 

15,056 

18,820 

22,584 

26,348 

30,112 

33,876 

5.5 

4.342.5 

8,685 

13,028 

17,370 

21,713 

26,055 

30,398 

34,740 

39,083 

6.0 

4,948.0 

9,896 

14,844 

19,792 

24,740 

29,688 

34,636 

39.584 

44,532 

6.5 

5,579.2 

11.158 

16,738 

22,317 

27,896 

33,475 

39,054 

44,633 

50,213 

7.0 

6.235.2 

12,470 

18,705 

24,941 

31,176 

37,411 

43,646 

49.881 

56,116 

7.5 

6,915.6 

13,830 

20,745 

27,660 

34,575 

41,490 

48,405 

55,320 

62,235 

8.0 

7,617.9 

15,236 

22,854 

30,472 

38,090 

45,707 

53.325 

60,943 

68,561 

8.5 

8,343.1 

16,686 

25,029 

33,372 

41,716 

50,059 

58,402 

66,745 

75.088 

9.0 

9,090.0 

18,180 

27,270 

36,360 

45,450 

54,540 

63,630 

72,720 

81.810 

9.5 

9,857.9 

19,716 

29,574 

39,432 

49,290 

59,148 

69,006 

78,803 

88,721 

10 

10,646.3 

21,293 

31,939 

42,585 

53,232 

63,878 

74,524 

85,171 

95,817 

11 

12,282.6 

24.565 

36.848 

49,130 

61,413 

73,695 

85,978 

98,260 

110,543 

13 

13,995.0  27,990 

41,985 

55,980 

69,975 

83,970 

97,965 

111.9.60 

125,955 

13 

15,780.331,561 

47,341 

63,121 

78,902 

94.682 

110,462 

126,242 

142,023 

14 

17,685.735,271 

52,907 

70,543 

88,178 

105,814 

123,450 

141,085  158,721 

15 

19,558.639,117 

58,676 

78,234 

97,793 

117,351 

136,910 

156,469 

176,027 

16 

21,546.7  43,093 

64,640 

86,187 

107,733 

129,280 

150,827 

172,373 

193,920 

17 

23,597.9  47,196 

70,794 

94,392 

117,990  141,587 

165,185 

188,783  212,381 

18 

25,710.4  51,421 

77.  131  '102,842  128,552  154,262 

179,973 

205,683  231,394 

19 
30 

27.882.4  55,76583,647!  Ill,  530  139.412  167.295il95.177 
30.112.4  60.225l90.337  120,450  150,562,180,674!210,7S7 

223,059  250,942 
240,899,271,011 

HYDRAULIC    AND   EXCAVATION    TABLES. 


Table  21  is  not  accurate  for  heads  of  water  on  the  weir  crest 
greater  than  one-third  its  length.  Where  velocity  of  approach 
exists,  before  taking  out  the  discharge  the  measured  head  on  the 
weir  crest  in  Table  21  should  be  increased  by  1.5  times  h,  the 
velocity  of  approach  head  computed  from  v2-^2g  where  v  is  the 
velocity  of  approach  in  feet  per  second  and  g  is^ravity. 

The  discharges  for  thin  edged  rectangular  weir£  with  end  con- 
tractions can  be  obtained  from  Table  21  by  multiplying  the  appro- 
priate tabular  discharges  therein  by  (I/ — 0.2  H)-r-I/  where  L/  is  the 
crest  length  and  H  is  the  water  depth  on  the  crest,  each  in  feet. 

The  discharges  for  thin  edged  suppressed  submerged  weirs  can 
be  obtained  from  Table  21  with  fair  accuracy  by  multiplying  the 
appropriate  value  of  the  depth  of  water  on  the  weir  crest  therein 
by  the  proper  values  of  the  coefficient  n  selected  from  the  tabula- 
tion below  before  taking  out  the  discharges.  In  this  tabulation 
D  equals  the  head  of  water  on  the  weir  crest  on  the  upstrearti  side 
thereof  and  d  equals  the  head  of  water  thereon  on  the  downstream 
side  thereof. 


Table  22. — HerscheVs  coefficient  n  for  submerged  weirs 


! 

:                  j 

d 

0.0 

0.01 

0.03 

0.03 

0.04 

0.05 

0.06 

OX>7 

O.OS 

0.0i> 

D 

0.0 

1.003 

1.004 

1.006 

1.006 

1.007 

1.007 

1.007 

li06 

1.006 

1.00% 

.1 

1.005 

l.Ot'3 

1.002 

1.000 

.998 

.996 

.994 

.99-2 

.9  9 

.*9S7 

.3 

.985 

.982 

.980 

.977 

.975 

#72 

.970 

.967 

l|C4 

aw 

.3 

.959 

.956 

.953 

.950 

.947 

.944 

.941 

.9J8 

.935 

.9o2 

.4 

.929 

.926 

.922 

.919 

.915 

.912 

.9  8 

.604  • 

.900 

.«% 

,5 

.892 

.888 

.884 

.8S'0 

.875 

.871 

.866 

.861 

.856 

.851 

.6 

.£46 

.841 

.836 

..C30 

.824 

.818 

.813 

.806 

.800 

.794 

.7 

.787 

.780 

.773 

.766 

.758 

.7.50 

.742 

.732 

.723 

.714 

.8 

.7(  3 

.692 

.681 

.669 

.656 

.644 

.631 

.618 

.604 

.690 

.0 

.574 

.557 

.539 

.520 

.49S 

.471 

.441 

.402 

.352 

.275 

94  HYDKACLJC    AND   EXCAVATION    TABLES. 

Table    23. — Discharge  per  foot  of  length  over  sharp-crested  vertical 
weirs  without  end  contractions. a 

[Computed  from  the  formula  Q=(o.405+'°°9S4)  (l^ 

(ft=ob«erved  h«»ad,  in  feet;  p=heig-ht  of  weir,  in  feet;  Z=length  of  crest, 
in  feet;  Q=discharge  iu  second- fee  .)] 


X 

3 

4 

6 

8  * 

10                20                30 

0.1 

0.13 

0.13 

0.13 

0.13 

0.13 

0.13 

0.12 

9.2 

.33 

.33 

.33 

.33 

.33 

.33 

.3' 

0.3 

.58 

.58 

.58 

.58 

.58 

.58 

.5* 

0.4 

.88 

.88 

.87 

.87                .87 

.87 

.87 

0.5 

1.23 

1.21 

1.21 

1.21 

1.21 

1.20 

1.2C 

0.6 

1.62 

1.59 

1.58 

1.58 

1.57 

1.57 

1.57 

0.7 

2.04 

1.99 

1.98 

1.98 

1.97 

1.97 

1.97 

0.8 

2.50 

2.43 

2.41 

2.41 

2.40 

2.40 

2.4(j 

0.9 

3.00 

2.90 

2.88 

2.SG 

2.86 

2.85 

2.85 

1.0 

3.53 

3.40 

3.36 

3.35 

3.34 

3.33 

3.33 

1.1 

4.10 

3.93 

3.88 

3.86 

3.85 

3.84 

s.sa 

1.3 

4.69 

4.48 

4.42 

4.40 

4.38 

4.36 

4.3t 

1.3 

5.32 

5.07 

4.99 

4.96 

4.94 

4.92 

4.91 

1.4 

5.99 

5.68 

5.58 

5.55 

5.52 

5.49 

5.4fc 

1.5 

6.69 

6.30 

6.20 

6.16 

6.13 

6.08 

6.07 

1.6 

7.40 

6.97 

6.84 

6.78 

6.75 

6.69 

6.68 

1.7 

8.15 

7.66 

7.50 

7.43 

7.39 

7.33 

7.31 

1.8 

8.93 

8.37 

8.18 

8.09 

8.05 

7.98 

7.9e 

1.9 

9.74 

9.11 

8.89 

8.79 

8.74 

8.65 

8.63 

2.9 

10.58 

9.87 

9.62 

9.51 

9.44 

9.34             9.32 

3.1 

11.44 

10.65 

10.37 

10.24 

10.17 

10.05 

10.02 

3.2 

12.33 

11.46 

11.14 

10.99 

10.91 

10.78 

10.75 

3.3 

13.25 

12.29 

11.93 

11.77 

11.67 

11.52 

11.48 

3.4 

14.20 

13.15 

12.75 

12.56 

12.45 

12.28 

12.24 

3.5 

15.18 

14.03 

13.59 

13.37 

13.25 

13.06 

13.02 

3.6 

16.17 

14.92 

14.44 

14.20 

14.07 

13.85 

13.80 

3.7 

17.19 

15.84 

15.31 

15.05 

14.90 

14.65 

14.60 

3.8 

18.23 

16.79 

16.21 

15.92 

15.76 

15.48 

15.42 

3.9 

19.29 

17.75 

17.12 

16.81 

16.63 

16.32 

16.25 

3.0 

20.38 

18.74 

18.06 

17.71 

17.52 

17.18 

17.10 

3.1 

21.50 

19.74 

19.01 

18.64 

18.42 

18.05 

17.9b 

3.3 

22.64 

20.77 

19.98 

19.58 

19.34 

18.93 

18.83 

3.3 

23.80 

21.82 

20.98 

20.54 

20.28 

19.83 

19.72 

3.4 

24.98 

22.89 

21.99 

21.52 

21.24 

20.75 

20.63 

3.5 

26.20 

23.98 

23.01 

22.51 

22.22 

21.69 

21.55 

3.6 

27.42 

25.09 

24.06 

23.52 

23.20 

22.62 

22.48 

3.7 

28.67 

26.23 

25.13 

24.55 

24.21 

23.58 

23.43 

3.8 

29.94 

27.38 

26.22 

25.60 

25.23 

24.56 

24.39 

3.9 

31.23 

28.55 

27.32 

26.66 

26.27 

25.54 

25.37 

4.0 

32.54 

29.74 

28.45 

27.74 

27.32 

26.55 

26.35 

4.1 

33.87 

30.96 

29.59 

28.84 

28.39 

27.56 

27.34 

4.3 

35.22 

32.18 

30.75 

29.96 

29.48 

28.59 

28.35 

4.3 

36.59 

33.43 

31.92 

31.09 

30.58 

29.63 

29.38 

4.4 

37.99 

34.70 

33.12 

32.24 

31.70 

30.68 

30.42 

a  This  table  should  not  be  used  where  the  weir  is  submerged,  nor  unless  the 
overfalling  sheet  is  aerated  on  the  downstream  face  of  the  weir.  If  a  vacuum 
form?  under  the  falling  sheet  the  discharge  may  be  5  per  cent  greater  than  given 
in  this  table.  This  table  is  not  accurate  for  values  of  h  greater  than  one-third  JL,. 


HYDEAULIC    AND   EXCAVATION    TABLES. 


95 


Table   23. — Discharge  per  foot  of  length  over  sharp-crested  vertical 
•weirs  without  end  contractions — Continued. 


X;  2 

4                  6                 8                10 

20                30 

4.5 

39.40 

35.98 

34.33 

33.40           32.83 

31.74 

31.47 

4.6 

40.83 

37.29 

35.56 

34.58 

33.98 

32.82 

32.53 

4.7 

42.28 

38.61 

36.80 

35.78 

35.14 

33.92 

33.61 

4.8 

43.75 

39.96 

38.07 

37.00 

36.32 

35.04 

34.70 

4.9 

45.23 

41.32 

39.35 

38.23 

37.52 

36.17 

35.80 

5.0 

46.73 

42.69 

40.65 

39.48 

38.74 

37.21 

36.91 

5.1 

48.25 

44.09 

41.96 

40.73 

39.97 

38.45 

38.03 

5.2 

49.79 

45.50 

43.29 

42.01 

41.20 

39.61 

39.17 

5.3 

51.36 

46.93 

44.64 

43.30 

42.45 

40.78 

40.31 

5.4 

52.94 

48.38 

46.00 

44.60 

43.71 

41.96 

41.47 

5.5 

54.54 

49.85 

47.38 

45.93 

45.00 

43.16 

42.64 

5.6 

56.15 

51.34 

48.79 

47.27 

46.31 

44.38 

43.83 

5.7 

57.78 

52.83 

50.19 

48.62 

47.62 

45.60 

45.02 

5.8 

59.42 

54.34 

51.62 

49.99 

48.94 

46.83 

46.22 

5.9 

61.09 

55.88 

53.07 

51.38 

50.29 

48.08 

47.44 

6.0 

62.77 

57.43 

54.53 

52.78 

51.64 

49.34 

48.67 

6.1 

64.46 

59.00 

56.00 

64.20 

53.02 

50.61 

49.91 

6.2 

66.18     !      60.58 

57.50 

55.63 

54.40 

51.90 

51.16 

6.3 

67.91 

62.18 

59.01 

57.07 

55.80 

53.20 

52.42 

6.4 

69.G5 

63.79 

60.53 

58.53 

57.22 

54.50 

53.70 

6.5 

71.42 

65.42 

62.07 

60.01 

58.65 

55.82 

54.98 

6.6 

73.19 

67.07 

63.63 

61.50 

60.09 

57.16 

56.27 

6.7 

74.99 

68.~4 

65.20 

63.00 

61.55 

58.50 

57.58 

6.8 

76.80 

70.42 

66.78 

64.53 

63.02 

59.96 

58.90 

6.9 

78.62 

72.11 

68.38 

66.06 

64.50    |      61.23 

60.22 

7.0 

80.46 

73.82 

70.00 

67.60 

66.00 

62.61 

61.56 

7.1 

82.32 

75.55 

71.63 

•6<M7 

67.52 

64.00 

62.91 

7.2 

84.18 

77.29 

73.28 

70.74 

69.04 

65.40 

64.27 

7.3 

86.07 

79.04 

74.94 

72.34 

70.58 

66.81 

65.64 

7.4 

87.97 

80.81 

76.61 

73.94 

72.14 

68.24 

67.02 

7.5 

89.89 

82.60 

78.30 

75.56 

73.70 

69.68 

68.41 

7.6 

91.82 

84.40 

80.01           77.19 

75.28 

71.13 

69.81 

7.7 

93.76  '         86.22 

81.73     !       78.84 

76.88 

72.59 

71.23 

7.8 

95.72     !      88.05 

83.46 

80.50 

78.48 

74.06 

72.65 

7.9 

97.70 

89.90 

85.21 

82.18 

80.11 

75.55 

74.09 

8.0 

99.68 

91.75 

86.97 

83.87 

81.74 

77.04 

75.53 

8.1 

101.69 

93.63 

88.75 

85.57 

83.39 

78.55 

76.98 

8.3 

103.70 

95.51           90.54 

87.29 

85.25 

80.06 

78.44 

8.3 

105.73 

97.42           92.34 

89.02 

86.72 

81.59 

79.92 

8.4 

107.78 

99.34 

94.16 

90.76 

88.41 

83.13 

81.40 

8.5 

109.84 

101.27 

96.00 

92.52 

90.11 

84.69 

82.90 

8.6 

111.91 

103.21           97.84 

94.29 

91.82 

86.25 

84.41 

8.7 

113.99 

105.17           99.70 

96.07 

93.55 

87.82 

85.92 

8.8 

116.09 

107.14          101.57 

97.87 

95.28 

89.40 

87.44 

8.9 

118.20 

109.13 

103.46 

99.  G8 

97.04 

91.00 

88.98 

9.0 

120.33 

111.13 

105.36 

101.50 

98.80 

92.61 

90.52 

9.1 

122.47 

113.15 

107.28 

103.34 

100.58 

94.23 

92.08 

9.2 

124.02 

115.18 

109.21 

105.19 

102.37 

95.86 

93.65 

9.3 

126.79 

117.22 

111.15 

107.06 

104.17 

97.49 

95.22 

9.4 

128.97 

119.27 

113.10 

108.93 

105.99 

99.14 

96.80 

9.5 

131.16 

121.34 

115.07 

110.82 

107.82 

100.80 

98.40 

9.6 

133.36 

123.42 

117.05 

112.72 

109.65 

102.48 

100.00 

9.7 

135.58 

125.51 

119.04 

114.64 

111.50 

104.16 

101.62 

9.8 

137.82 

127.63 

121.05 

116.57 

113.37 

105.85 

103.25 

8.9 

140.06 

129.74 

123.07 

118.51 

115.25 

107.56 

104.88 

10.0 

142.31 

131.87 

125.10 

120.46 

117.14 

109.27 

106.52 

96 


HYDRAULIC   AND   EXCAVATION    TABLES. 


24. — Multipliers  for  broad-crested  weirs  of  rectangular  cros* 
section  (Type  a,  jig.  2) 

[£=height  of  weir;  c=width  of  crest;  ft=observed  head;  all  in  feet.] 


* 

c 

46 
2.6 

4.6 
6.6 

11.25 

.48 

11.25 
.93 

11.25 
1.65 

11.25 
3.17 

11.25 
5.88 

11.25 
8.98 

11.25  ! 
12.24 

11.25 
16.30 

h 
o.s 

.821 

.792 

.806 

.792 

.799 

.801 

.786 

.790 

1.9 

.765 

.708 

.997 

.899 

.808 

.795 

.791 

.794 

.815 

.790 

1.5 

.789 

.709 

1.00 

.982 

.878 

.796 

.796 

.793 

.814 

.792 

2.0 

.814 

.710 

1.00 

1.00 

.906 

.815 

.797 

.792 

.797 

.793 

2.5 

.835 

.711 

1.00 

1.00 

.985 

.844 

.797 

.790 

.796 

.793 

3.0 

.857 

,711 

1.00 

1.00 

1.00 

.870 

.797 

.788 

.794 

.791 

3.5 

.878 

.712 

1.00 

1.00 

1.00 

.90 

.812 

.787 

.794 

.791 

4.0 

.899 

.714 

1.00 

1.00 

1.00 

.93 

.834 

.786 

.792 

.789 

5.0 

.940 

.716 

1.00 

1.00 

1.00 

.97 

(a) 

.78 

.79 

.78 

6.0 

.986 

.718 

1.00 

1.00 

1.00 

.98 

(a) 

.78 

.78 

.78 

7.0 

100 

1  00 

1  00 

(a) 

(a) 

77 

.78 

.77 

8.0 

1.00 

1.00 

1.00 

(a) 

(a) 

.77 

.77 

.77 

9.0 

1  00 

1  00 

1  00 

(a) 

(a) 

77 

77 

77 

10.0 

1.00 

1.00 

1.00 

(a) 

(o) 

.77 

.77 

.77 

a  Value  doubtful. 


m 


FIG.  2. — Types  of  weirs. 


HYDRAULIC   AND   EXCAVATION    TABLES. 


97 


Table  25. — Multipliers  for  -weirs  of  trapezoidal  cross  section. 

= height  of  weir,  in  feet;  <;= width  of  crest,  infect;  s-  upstream  slope;  ^down- 
stream slope;  /»=observed  head,  in  feet.) 


Type  b,  fig.  2 

Typ?  c.  UK.  2 

p 

4.9 

4.9 

4.9 

4.9 

4.9 

4.9 

4.9 

4.65 

11.25 

c 

.33 

.66 

.66 

.66 

.66 

.33 

.66 

7.00 

6.00 

s 

2:1 

2:1 

3:1 

4:1 

5:1 

2:1 

2:1 

4.67:1 

6:1 

s' 

0 

0 

0 

0 

0 

5:1 

2:1 

h 

1.0 

1.137 

1.048 

1.066 

1.039 

1.009 

1.095 

1.071 

1.042 

1.060 

1.5 

1.131 

1.068 

1.066 

1.039 

1.009 

1.071 

1.066 

1.033 

1.069 

2.0 

1.120 

1.080 

1.061 

1.033 

1.005 

1.044 

1.053 

1.024 

1.054 

2.5 

1.106 

1.085 

1.052 

1.026 

.997 

1.024 

1.047 

1.012  . 

1.012 

3.0 

1.094 

1.088 

1.047 

1.020 

.991 

1.009 

1.047 

.995 

.985 

3.5 

1.085 

1.087 

1.043 

1.017 

.988 

1.003 

1.050 

.983 

.979 

4.0 

1.072 

1.084 

1.038 

1.012 

.984 

1.014 

1.052 

.977 

.976 

4.5 

1.064 

1.081 

1.035 

1.009 

.980 

1.023 

1.055 

.974 

.973 

5.0 

.97 

.97 

6.0 

.97 

.96 

7.0 

.97 

.96 

8.0 

.96 

.95 

9.0 

.96 

95 

10.0 

96 

95 

I                               l 

Tal>le  26. — Multipliers  for  compound  weirs. 
[£=height  of  weir,  in  feet;  fc=observed  head,  in  feet.] 


P 

4.57 

4.56 

4.53 

5.28 

11.25 

11.25 

11.25 

11.25 

11.25 

11.25 

Type, 
fig.  2. 

J 

e 

/ 

g 

h 

t 

j 

k 

1 

m 

h 
0.5 

.941 

.924 

.933 

962 

971 

947 

1.0 
1.5 
2.0 
2.5 

3.0 
3.5 
4.0 
5.0 
6.0 

.842 
.866 
.888 
.906 

.927 
.945 
.965 
1.00 

.836 
.834 
.831 
.826 

.822 
.817 
.812 
.80 

.929 
.950 
.953 
.947 

.942 
.936 
.931 
.92 

.976 
.979 

.988 
1.000 

1.016 
1.032 
1.044 
1.05 

1.039 
1.087 
1.109 
1.118 

1.120 
1.127 
1.123 
1.11 
1.11 

1.033 
1.093 
1.133 
1.153 

1.163 
1.169 
1.165 
1.16 
1.15 

.988 
1.018 
1.033 
1.045 

1.054 
1.060 
1.060 
1.05 
1.04 

1.045 
1.066 
1.063 
1.020 

.997 
.994 
.991 
.98 
.98 

1.033 
1.042 
1.035 
1.033 

1.045 
1.0£4 
1.057 
1.05 
1.04 

i.ooa 

1.036 
1.063 
1.085 

1.096 
1.108 
1.110 
1.10 
1.10 

7.0 

I 

1  10 

1.14 

1  04 

97 

1  04 

1  09 

8.0 
9.0 
10.0 

1.10 
1.09 
1.09 

1.14 
1.14 
1.13 

1.04 
1.03 
1.03 

.97 
.97 
.97 

1.03 
1.03 
1.03 

1.09 
1.08 
1.08 

0202'— 17 7 


98 


HYDRAULIC   AND  EXCAVATION    TABLES. 


Table  27. — Discharge  of  standard  rectangular  submerged  orifices  in 
cubic  feet  per  second,  computed  from  the  formula 

A. 


Head//, 
feet 

Cross-sectional  area  A  of  orifice,  square  feet 

0.25 

0.5 

O.75 

1.0 

1.25 

1.5           1.75          2.O 

0.01 

0.122 

0.245 

0.367 

0.489 

0.611 

0.734 

0.856 

0.978 

.02 

0.173 

0.346 

0.518 

0.691 

0.864 

1.037 

1.210 

1.382 

.03 

0.212 

0.424 

0.635 

0.847 

1.059 

1.271 

1.483 

1.694 

.04 

0.245 

0.489 

0.734 

0.978 

1.223 

1.468 

1.712 

1.957 

.05 

0.273 

0.347 

0.820 

1.093 

1.367 

1.640 

1.913 

2.186 

.06 

0.300 

0.599 

0.899 

1.198 

1.497 

1.797 

2.097 

2.396 

.07 

0.324 

0.647 

0.971 

1.294 

1.617 

1.941 

2.265 

2.588 

.08 

0.346 

0.691 

1.037 

1.383 

1.729        2.074 

2.  420 

2.766 

.09 

0.  367 

0.734 

1.101 

1.468 

1.835        2.201 

2.638 

2.935 

.10 

0.387 

0.773 

1.160 

1.557 

1.933 

2.320 

2.707 

3.094 

1 

.11 

0.406 

0.811 

1.217 

1.622 

2.027 

2.433 

2.839 

3.244 

.12 

0.424 

0.847 

1.271 

1.694 

2.118 

2.542 

2.965 

3,389 

.13 

0.441 

0.882 

1.328 

1.764 

2.205 

2,645 

3.086 

3.527 

.14 

0.458 

0.915 

1.373 

1.830 

2,287 

2.745 

3.203 

3.660 

•Id 

0.474 

0.947 

1.421 

1.895 

2.369 

2.842 

3.316 

3.790 

.16 

0.489 

a  978 

1.467 

1.956 

2.445 

2.934 

3.423 

3.912 

.17 

0.504 

.008 

1.512 

2.016 

2.520 

3.024 

3.528 

4.032 

.IS 

0.  519 

.037 

1.556- 

2.075 

2.593 

3.112 

3.631 

4.150 

.19 

0.533 

.066 

1.599 

2.132 

2.665 

3.198 

3.731 

4.264 

.20 

0.547 

.094 

1.641 

2.188 

2.735 

3.282 

3.829 

4.376 

.21 

0.561 

.120 

1.681 

2.241 

2.801 

3-361 

3.921 

4.482 

.22 

0.574 

.148 

1.722 

2!  296 

2.870 

3.464 

4.018 

4.592 

.23 

0.587 

.172 

1.759 

2.345 

2.931 

3.517 

4.103 

4.690 

.24 

o.eoo 

.198 

1.797 

2.396 

2.995 

3.599 

4.193 

4.792 

.25 

0.612 

.223 

1.834 

2.446 

3.057 

3.668 

4.280 

4.891 

.26 

0.624 

.247 

1.871 

2.494 

3.117 

3.741 

4.365 

4.988 

.27 

0.636 

.270 

1.906 

2.541 

3.176 

3.811 

4.446 

5.082 

.28 

0.646 

1.294 

1.942 

2.589 

3.236 

3.883 

4.530 

5.178 

.29 

0.659 

1.319 

1.978 

2.638 

3.297 

3.956 

4,616 

5.276 

.30 

0.670 

1.339 

2.009 

2.678 

3.347 

4-017 

4.687 

5.356 

JU 

0.681 

.363 

2.045 

2.726 

3.407 

.089 

4.771 

5.452 

.32 

0.692 

.382 

2.073 

2.764 

3.455 

.146 

4.837 

5.528 

.33 

0.708 

.405 

2.107 

2.810 

3.513 

.215 

4.917 

5.620 

.34 

0.713 

.426 

2.139 

2,852 

3.565 

.278 

4.991 

5.704 

.35 

0.724 

.446 

2.  169  - 

2.892 

3.615 

.338 

5.061 

5.784 

.36 

0.734 

.467 

2.201 

2.934 

3.667 

4.401 

5.135 

5.868 

.37 

0.745 

.488 

2.232 

2.976 

3.720 

4.464 

5.208 

5.952 

.38 

0.754 

1.508 

2.262 

3.016 

3.770 

4.524 

5.278 

6.032 

.39 

0.764 

1.527 

2.291 

3.  aw 

3.818 

4.582 

5.345 

6.109 

4.40 

0.774 

1.547 

2.321 

3.094 

3.867 

4.641 

5.415 

6.188 

HYDRAULIC    AND   EXCAVATION    TABLES. 


99 


Table    27. — Discharge   of  standard  rectangular  submerged  orifices 
in  cubic  feet  per  second,  computed  from  the  formula 

A — Continued. 


Head//, 
feet 

Cross-sectional  area  A  of  orifice,  square  feet 

0.25 

0.5      ]     0.75 

1.0 

1.25 

1.5 

1.75 

2.0 

0.4  1 

a  783 

.507 

2.350 

3.133 

3.917 

4.700 

5.483 

6.266 

.42 

0.792 

.585 

2.  377 

3.170 

3.962 

4,754 

5.547 

6.339 

.43 

0.802 

.604 

2.406 

3.208 

4.010 

4.  812 

5.614 

6.41f 

.44 

0.811 

.622 

2.433 

3.244 

.055 

4.866 

5.677 

6.488 

.  ;••» 

0.820 

.640 

2.461 

3.281 

.101 

4.921 

5.  741 

6.562 

.4tt 

0.829 

.'659 

2.489 

3.318 

.147 

4.977 

5.807 

6.636 

.47 

0.839 

.678 

2.517 

3.356 

.195 

5.035 

5.874 

6.713 

.48 

0.847 

.695 

2.542 

3.389 

.237 

5.084 

5.931 

6.778 

.49 

asse 

.712 

2.568 

3.424 

.280 

5.136 

5.992 

6.848 

.50 

0.865 

.729 

2.  591 

3-458 

.323 

5.188 

8.052 

6.917 

.51 

a  873 

.746 

2.620 

3.493 

.366 

5.239 

6.112 

6.986 

.52 

a  882 

.763 

2.645 

3.527 

.409 

5.290 

6.172 

7.054 

.53 

0.890 

.780 

2.670 

3.560 

.451 

5.341 

6.231 

7.121 

.54 

0.898 

.797 

2.695 

3.593 

.491 

5.390 

6.288- 

7.186 

.55 

a  907 

.813 

2.719 

3.626 

.533 

5.439 

6.345 

7.252 

.56 

0.915 

.830 

2.745 

3.660 

.575 

5.490 

6.405 

7.320 

.57 

0.923 

.846 

2.769 

3.692 

.615 

5.538 

6.461 

7.384 

.58 

0,931 

.862 

2.794 

3.725 

.656 

5.587 

6.518 

7.450 

.59 

0.939 

.879 

2.818 

3-757 

.697 

5.636 

6.575 

7.514 

.60 

0.947 

.895 

2.842 

3.790 

4.737 

5.684 

6.632 

7.579 

.61 

0.955 

1.910 

2.865 

3.820 

4.775 

5.730 

6.685 

7.640 

.62 

0.963 

1.925 

2.887 

3.850 

4.812 

5.775 

6.737 

7.700 

.63 

0.971 

1.941 

2.911 

3.882 

4.853 

5.823 

6.793 

7.764 

.64 

0.978 

1.956 

2.934 

3.912 

4.890 

5.868 

6.846 

7.824 

.65 

0.986 

1.972 

2.958 

3.944 

4.930 

5.916 

6.902 

7.888 

.86 

0.993 

1.987 

2.980 

3.974 

4.967 

5.960 

6.954 

7.947 

.67 

1.001 

2.002 

3.003 

4.004 

5.005 

6.006 

7.007 

8.00S 

.68 

1.008 

2.016 

3.024 

4.032 

5.040 

6.048 

7.066 

8.064 

.69 

1.016 

2.032 

3.048 

4.064 

5.080 

6.096 

7.112 

8.128 

.70 

1.023 

2.046 

3.069 

4.092 

5.115 

6.138 

7.161 

8.184 

.71 

1.031 

2.062 

3.093 

4.124 

5.155 

6.186 

7.217 

8.248 

.72 

1.038 

2.076 

3.114 

4.152 

5.190 

6.228 

7.266 

8.304 

.73 

1.045 

2.090 

3.135 

4.180 

6.225 

6.270 

7.315 

8.360 

.74 

1.052 

2.104 

3.158 

4.210 

5.260 

6.311 

7.369 

8.421 

.75 

1.059 

2.118 

3.178 

4.237 

5.296 

6.355 

7.413 

8.475 

.76 

1.066 

2.132 

3.198 

.264 

5.330 

6.396 

7.462 

8.528 

.77 

1.072 

2.145 

3.217 

.290 

5.362 

6.434 

7.507 

8.579 

.78 

1.080 

2.160 

3.240 

.320 

5.400 

6.480 

7.560 

8.640 

.79 

1.087 

2.174 

3.261 

.348 

5.435 

6.522 

7.609 

8.696 

0.80 

1.094 

2.188 

3.282 

.376 

5.470 

6.564 

7.658 

8.752 

100 


HYDRAULIC   AND   EXCAVATION    TABLES. 


Table  28. — Coefficients  C  to  be  applied  to  a  discharge  given  by  Table 
27  to  give  the  discharge  of  the  same  orifice  suppressed,  computed  front 
the  formula  C  —  I  +  0.15  r. 

d— height  of  orifice,  in  feet. 


1  =  leng  th  of  o  rifice  ,  in  feet  . 
r—  ratio  of  suppressed  perimeter  to  total  perimeter. 

Size  of  orifi( 
I.  feet 

'C 

<4, 
square  feet 

Bottom  suppressed 

Bottom  and  sides 
suppressed 

d.  feet 

r 

C 

r 

C 

0.25 

1.0 
2.0 
3.0 

0.25 
.50 
.75 

0.40 
.44 
.46 

.06 
.07 
.07 

0.60 
.56 
.54 

.00 
.08 
.08 

0.5 

1.0 
1.5 
2.0 
2.5 
3.0 

.50 
.75 

1.00 
1.25 
1.50 

.33 
.37 
.40 
.42 
.43 

.05 
.06 
1.06 
1.06 
1.06 

.67 
.63 
.60 

.58 
.57 

.10 

.09 
.09 
.09 
.09 

0.75 

1.33 
1.67 
2.00 
2.33 
2.67 

1.00 
1.25 
1.50 
1.75 
2.00 

.32 
.34 
.36 
.38 
0.39 

1.05 
1.05 
1.05 
1.06 
1.06 

.68 
.66 
.64 
.62 
0.61 

.10 
.10 
.10 
.09 
.09 

EXAMPLE:  To  find  the  discharge  of  a  standard  submerged  rectan- 
gular orifice  0.5  by  2.5  feet  with  bottom  and  side  suppressions  under 
a  head  of  o.  18  feet. 

For  an  area  of  1.25  square  feet  (=0.5X2.5)  and  a  head  of  0.18 
feet,  Table  27  gives  a  discharge  of  2 . 593  second-feet.  For  a  height,  d, 
of  0.5  feet  and  a  length,  I,  of  2.5  feet,  with  bottom  and  sides  sup- 
pressed, Table  28  gives  a  coefficient  of  1.09.  Then  2. 593X1. 09 =2. 826 
second-feet,  the  discharge  desired. 


HYDRAULIC   A.MV    SXCAVATIOX    TABLES. 


101 


29. — Flow  oj  u'ator,  ii\. second  fect,^and  velocity  in  feet  per 
second  in  wood,  stave  pipe  in  good  condition  having  ordinarily 
smooth  alignment  and-  profile  based  on  the  formula 

7.68  V  1-8  H==friction  head  per  1 ,000  feet. 

~  d  1.17 •  V=velocity  in  feet  per  second. 

d=diameter  of  pipe  in  inches. 


H 


Friction  head,  in  feet  per  i.ooo  feet  length  of  pipe 

Diam- 
eter 

XM 

Diam- 
eter in 

Area, 
square 

0.2 

O.3 

0.4 

0.5 

0.6 

in 

feet 

feet 

Q 

V 

Q 

V 

a 

V 

Q 

V 

a 

V 

6 

0.5OO 

0.196 

0.08 

0.41 

0.10 

0.51 

0.12 

0.61 

0.14 

0.71 

0.15 

0.76 

8 

0.667 

0.349 

0.18 

0.52 

0.22 

0.63 

0.26 

0.75 

0.30 

0.86 

0.33 

0.95 

10 

0.833 

O.545 

0.32 

0.59 

0.40 

0.74 

0.47 

0.86 

0.53 

0.97 

0.59 

1.08 

12 

l.OOO 

0.785 

0.52 

0.66 

0.65 

0.83 

0.76 

0.97 

0.87 

1.11 

0.96 

1.22 

14 

1.167 

1.069 

0.78 

0.73 

0.98 

0.92 

1.15 

.08 

1.30 

1.22 

1.44 

1.35 

16 

1.333 

1.396 

1.12 

0.80 

1.40 

1.00 

1.64 

.17 

1.86 

.33 

2.05 

1.47 

18 

1.500 

1.767 

1.53 

0.87 

1.91 

1.08 

2.24 

.27 

2.54 

.44 

2.81 

1.59 

2O 

1.667 

2.182 

2.02 

0.93 

2.53 

1.16 

2.96 

.36 

3.35 

.54 

3.71 

1.70 

22 

1.833 

2.640 

2.60 

0.98 

3.25 

1.23 

3.81 

.44 

4.32 

.64 

4.78 

1.81 

24 

2.000 

3.142 

3.27 

1.04 

4.09 

1.30 

4.80 

.53 

5.44 

.73 

6.02 

1.92 

2G 

2.167 

3.687 

4.04 

1.10 

5.06 

1.37 

5.94 

.61 

6.72 

.82 

7.44 

2.02 

28 

2.333 

4.276 

4.92 

1.15 

6.16 

1.44 

7.23 

.69 

8.18 

.91 

9.05 

2.12 

30. 

2.500 

4.909 

5.91 

1.20 

7.40 

1.51 

8.68 

.77 

9.82 

2.00 

10.9 

2.22 

32 

2.G67 

5.585 

7.01 

1.25 

8.78 

1.57 

10.3 

.84 

11.7 

2.09 

12.9 

2.31 

34 

2.833 

6.305 

8.23 

1.30 

10.3 

1.63 

12.1 

.92 

13.7 

2.17 

15.1 

2.40 

36 

3.OOO 

7.O69 

9.57 

1.35 

12.0 

1.70 

14.1 

.99 

15.9 

2.25 

17.6 

2.49 

38 

3.167 

7.876 

11.0 

1.40 

13.8 

1.75 

16.2 

2.06 

18.4 

2.34 

20.3 

2.58 

4O 

3.333 

8.727 

12.7 

1.46 

15.9 

1.82 

18.6 

2.13 

21.1 

2.42 

23.3 

2.67 

42 

3.500 

9.621 

14.4 

1.50 

18.0 

1.87 

21.2 

2.20 

24.0 

2.49 

26.5 

2.75 

44 

3.667 

10.56 

16.3 

1.54 

20.4 

1.93 

23.9 

2.26 

27.1 

2.57 

30.0 

2.84 

46 

3.833 

11.54 

18.3 

1.59 

23.0 

1.99 

26.9 

2.33 

30.5 

2.64 

33.7 

2.92 

48 

4.000 

12.57 

20.5 

1.63 

25.7 

2.05 

30.2 

2.40 

34.1 

2.71 

37.8 

3.01 

50 

4.167 

13.64 

22.9 

1.68 

28.6 

2.10 

33.6 

2.46 

38.0 

2.79 

42.1 

3.09 

52 

4.333 

14.75 

25.4 

1.72 

31.8 

2.16 

37.3 

2.53 

42.2 

2.86 

46.8 

3.17 

54 

4.5OO 

15.90 

28.0 

1.76 

35.1 

2.21 

41.2 

2.59 

46.6 

2.93 

51.6 

3.24 

56 

4.667 

17.10 

30.9 

1.81 

38.7 

2.26 

45.4 

2.65 

51.3 

3.00 

56.8 

3.32 

58 

4.883 

18.35 

33.9 

1.85 

42.4 

2.31 

49.8 

2.71 

66.3 

3.07 

62.3 

3.40 

60 

5.000 

19.64 

37.1 

1.89 

46.4 

2.36 

64.5 

2.78 

61.6 

3.14 

68.2 

3.47 

66 

5.5 

23.76 

47.7 

2.01 

59.8 

2.52 

70.1 

2.95 

79.4 

3.34 

87.8 

3.70 

72 

6.0 

28.27 

60.1 

2.13 

75.3 

2.66 

88.3 

3.12 

99.9 

3.53 

111 

3.93 

78 

6.5 

33.18 

74.3 

2.24 

93.0 

2.80 

109 

3.29 

124 

3.74 

137 

4.13 

84 

7.0 

38.48 

90.4 

2.35 

113 

2.94 

133 

3.46 

150 

3.90 

166 

4.31 

9O 

7.5 

44.18 

109 

2.47 

136 

3.08 

159 

3.60 

181 

4.10 

200 

4.53 

96 

8.0 

50.26 

129 

2.57 

161 

3.20 

189 

3.76 

214 

4.26 

237 

4.71 

102 

8.5 

56.74 

151 

2.66 

189 

3.33 

222 

3.91 

252 

4.44 

278 

4.90 

108 

9.0 

63.82 

176 

2.77 

220 

3.46 

259 

4.07 

293 

4.61 

324 

5.09 

114 

9.5 

70.88 

203 

2.86 

254 

3.58 

298 

4.21 

338 

4.77 

374 

5.28 

120 

1O.O 

78.54 

233 

2.97 

291 

3.71 

342 

4.35 

387 

4.93 

428 

5.45 

102 


HY1>BAT;7J4C   AND.  EXCAVATION    TABLES. 


Table  29. — Slow  'O/.. -water  in  °econd-het,  and  -velocity  in  feet   per 
second  in  wood.  Stave  pipe  in  good  condition  having  ordinarily 
smooth  alignment  and  profile  based  on  the  formula 
rr    7'6&  V  IA~     r^     *••  H=friction  head  per  i,ooofeet. 

d  '-17     -~~Lo11  V=velocity  in  feet  per  second. 

d=diameter  of  pipe  in  inches. 


Diaiu 

Friction  head,  in  feet  jxa-  1.000  feet  length  of  pipe 

eter. 
in 

iuches 

Q.7 

O.8 

0.9 

1.0 

1*9 

1.4 

a 

V 

a 

V 

Q 

V 

a 

V 

Q 

V 

Q 

V 

6 

0.17 

0.87 

0.18 

0.92 

0.19 

0.97 

0.20 

1.02 

0.22 

1.12 

0.24 

1.22 

,8 

0.36 

1.03 

0.38 

1.09 

0.41 

1.17 

0.43 

1.23 

0.48 

1.38 

a  52 

1.49 

10 

0.64 

1.17 

0.69 

1.27 

0.74 

1.36 

0.78 

1.43 

0.87 

1.60 

a  95 

1.74 

12 

1.04 

1.32 

1.12 

1.43 

1.20 

1.53 

1.27 

1.62 

1.41 

1.79 

1.53 

1.95 

14 

1.57 

L47 

1.69 

1.58 

1.81 

1.69 

1.91 

1.79 

2.12 

1.98 

2.31 

2.16 

16 

2.24 

1.60 

2.41 

1.73 

2.57 

1.84 

2.73 

1.96 

3.02 

2.16 

3.29 

2.36 

18 

3.06 

1.73 

3.29 

1.86 

3.51 

1.09 

3.73 

2.11 

4.12 

2.33 

4.49 

2.54 

20 

4.01 

L85 

4.35 

1.99 

4.65 

2.13 

4.93 

2.26 

5.45 

2.50 

5.94 

2.72 

22 

5.30 

1.97 

5.60 

2.12 

5.9S 

2.27 

6.34 

2.40 

7.02 

2.66 

7.64 

2,89 

24 

6.56 

2.08 

7.06 

2.25 

7.53 

2.40 

7.99 

2.54 

8.84 

2.81 

9.63 

3.06 

26 

8.10 

2.20 

8.72 

2.36 

9.31 

2.53 

9.87 

2.68 

10.9 

2.96 

11.9 

3.23 

28 

«.at 

2.31 

10.6 

2.48 

11.3 

2.64 

12.0 

2.81 

13.3 

3.11 

14.5 

3.39 

30 

11.8 

2.40 

12.7 

2.59 

13.6 

2.77 

14.4 

2.93 

16.0 

3.26 

17.4 

3.54 

32 

14.0 

2.51 

15.1 

2.70 

16.1 

2.88 

17.1 

3.06 

18.9 

3.38 

20.6 

3.69 

34 

16.5 

2.62 

17.8 

2.82 

19.0 

3.01 

20.1 

3.19 

22.2  i  :5.52 

24.2 

3.84 

36 

19.2 

2.72 

20.7 

2.93 

22.1 

3.13 

23.4 

3.31 

25.9  I  3.66 

28.2 

3.99 

38 

22.1 

2.81 

23.9 

3.03 

25.5 

3.24 

27.0 

3.43 

29.9     3.80 

32.5 

4.13 

40 

25.4 

2.91 

27.3 

3.18 

29.2 

3.35 

30.9 

3.54 

34.2 

3.92 

37.3 

4.27 

42 

28.9 

3.00 

31.1 

3.23 

33.2 

3.45 

35.2 

3.66 

38.9 

4.04 

42.4 

4.41 

44 

32.7 

3.10 

35.2 

3.33 

37.6 

3.56 

39.8 

3.77 

44.0 

4.17 

48.0 

4.55 

46 

36.7 

3.18 

39.6 

3.43 

42.2 

3.66 

44.8 

3.88 

49.6 

4.30 

54.0 

4.68 

48 

41.1 

3.27 

44.3 

3.52 

47.3 

3.76 

50.1 

3.99 

55.5 

4.42 

60.4 

4.81 

50 

45.8 

3.36 

49.4 

3.62 

52.7 

3.87 

55.9 

4.10 

61.8 

4.53 

67.3 

4.94 

52 

50.9 

3.45 

54.8 

3.72 

58.5 

3.97 

62.0 

4.20 

68.6 

4.65 

74.7 

5.07 

54 

36.2 

3.53 

60.5 

3.80 

64.6 

4.06 

68.5 

4.31 

75.8 

4.77 

82.6 

5.19 

56 

61.9 

3.Q2 

66.6 

3.89 

71.1 

4.16 

75.4 

4.41 

83.5 

4.88 

90.9 

5.32 

58 

67.9 

3.70 

73.1 

3.98 

78.1 

4.26 

82.8 

4.51 

91.6 

4.99 

09.8 

5.44 

£0 

74.3 

3.78 

80.0 

4.07 

85.4 

4.  $5 

90.6 

4.61 

100 

5.09 

109 

6.55 

66 

95.6 

4.  02 

103 

4.34 

110 

4.63 

117 

4.92 

129 

5.43 

141 

5.93 

72 

120 

4.24 

130 

4.60 

138 

4.  88 

147 

5.20 

162 

5.73 

177 

6.26 

78 

149 

4.49 

160 

4.82 

171 

5.15 

182 

5.48 

201 

6.06 

219 

6.60 

84 

1%      ' 

4.70 

195 

5.07 

208 

5.41 

221 

5.74 

244 

6.34 

266 

6.91 

90 

218 

4.93 

234 

5.30 

250 

5.66 

265 

6.00 

293 

6.63 

320 

7.24 

96 

258 

5.13 

278 

5.53 

297 

5.91 

315 

6.27 

343 

6.92 

379 

7.54 

1O2 

303 

5,34 

326 

5.75 

349 

6.15 

370 

6.52 

409 

7.21 

445 

7.84 

108 

353 

5.55 

380 

5.97 

406 

6.38 

430 

6.76 

476 

7.48 

518 

8.14 

114 

407 

5.74 

438 

6.18 

468 

6.60 

496 

7.00 

549 

7.75 

598 

8.44 

120 

466 

5.93 

502 

6.39 

536 

6.82 

568 

7.23 

629 

8.01 

685 

8.72 

HYDRAULIC    AND   EXCAVATION    TABLES. 


103 


Table  i29« — Flow  of  u<&ter  in  second  feet  and  velocity  in  feet  per 
second  in  wood  Stave  pipe  in  good  condition  having  ordinarily 
smooth  alignment  and  profile  based  on  the  formula 

7.68  V  »•«      „       .  H=friction  head  per  l.ooofeet. 

#=— JUT--—  Continued.  v  ^^hctty  in  feet  per  second. 

d=diameter  of  pipe  in  inches. 


Ittrti 

on  he 

id  in  fe 

et  per 

i,oool« 

etfen 

?th  of  p 

ipe 

IJt 

( 

1> 

t 

-M 

> 

8J 

1 

:,, 

» 

'•' 

> 

Q 

V 

Q 

V 

Q 

V 

a 

V 

Q 

V 

a 

V 

0.2« 

1.32 

0.28 

1.43 

0.30 

1.53 

0.34 

1.73 

0.37 

1.88 

0.44 

2.24 

0.56 

1.60 

0.60 

1.72 

0.64 

1.83 

0.72 

2.06 

0.80 

2.29 

0.94 

2.69 

1.02 

1.87 

1.09 

2.00 

1.15 

2.11 

1.31 

2.40 

1.44 

2.64 

1.69 

3.10 

1.65 

2.10 

1.78 

2.24 

1.8? 

2.38 

2.12 

2.70 

2.34 

2.98 

2.75 

8.50 

2.49 

2.33 

2.65 

2.48 

2.81 

2.63 

3.18 

2.97 

3.52 

3.29 

4.13 

3.  »; 

3.54 

2.54 

3.78 

2.71 

4.01 

2.87 

4.54 

3.25 

5.02 

3.60 

5.89 

4.  2:i 

4.84 

2.  74 

5.16 

2.92 

5.48 

3.10 

6.20 

3.51 

6.86 

3.88 

8.04 

4.  55 

6.40 

2.93 

6.83 

3.13 

7.24 

3.32 

8.19 

3.75 

9.07 

4.16 

10.6 

4.8C 

8.23 

3.12 

8.79 

3.33 

9.32 

3.53 

10.5 

3.98 

11.7 

4.43 

13.7 

5.1fc 

10.4 

8.31 

11.1 

3.53 

11.7 

3.72 

13.3 

4.23 

14.7 

4.68 

17.2 

5.47 

12.8 

3.47 

13.7 

8.71 

14.5 

8.93 

16.4 

4.45 

18.2 

4.94 

21.3 

5.78 

15.6 

3.65 

16.7 

3.90 

17.7 

4.14 

20.0 

4.68 

22.1 

5.17 

25.9 

6.06 

18.7 

3.81 

20.0 

4.07 

21.2 

4.32 

24.0 

4.89 

26.5 

5.40 

31.1 

6.34 

22.2! 

3.98 

23.7 

4.24 

25.2 

4.51 

28.5 

5.10 

31.5 

5.64 

37.0 

6.62 

26.1 

4.14 

27.0 

4.42 

29.5 

4.68 

33.4 

5.30 

37.0 

6.87 

43,4 

6.88 

30.4 

4.30 

32.4 

4.58 

34.4 

4.87 

38.9 

5.50 

43.0 

6.08 

50.5 

7.14 

35.0 

4.44 

37.4 

4.75 

39.7 

5.04 

44.9 

5.70 

49.7 

6.31 

58.3 

7.40 

40.1 

4.60 

42.9 

4.92 

45.4 

5.20 

51.4 

5.89 

56.9 

6.52 

66.8 

7.65 

45.  7  ' 

4.75 

48.8 

6.07 

61.7 

5.37 

68.5 

6.08 

64>« 

6.73 

76.0 

7.90 

51.7 

4.90 

55.2' 

5.23 

58.5 

5.  54 

66.2 

6.27 

73.3 

6.94 

85.9 

8.13 

58.1 

5.03 

62.1 

5.38 

65.8 

5.70 

74.5 

6.46 

82.4 

7.14 

96.7 

8.38 

65.1 

5.18 

69.5 

5.53 

73.7 

5.86 

83,4 

6.64 

92.2 

7.34 

108 

8.60 

72.5 

5.32 

77.4 

5.58 

82.1 

fi.02 

82.9 

6.81 

103 

7.55 

121 

8.87 

80.4 

6.46 

85.9 

5.82 

91.1 

6.18 

103 

6.98 

114 

7.73 

134 

9.09 

88.9 

5.59 

94.9 

5.97 

101 

8.35 

114 

7.17 

126 

7.92 

148 

9.30 

97.9 

5.72 

105 

6.14 

111 

6.49 

125 

7.31 

139 

8.13 

163 

9.53 

107 

5.83 

115 

6.27 

122 

6.65 

138 

7.52 

152 

8.28 

179 

9.75 

118 

6.01 

125 

6,37 

133 

6.77 

151 

7.69 

167 

8.50 

195 

9.93 

151 

6.36 

162 

6.82 

171 

7.20 

194 

8.17 

215 

9.05 

252 

10.6 

191 

6.75 

203 

7.18 

216 

7.64 

244 

8.63 

270 

9.55 

317 

11.2 

236 

7.11 

252 

7.59 

267 

8.05 

302 

9.10 

334 

10.1 

392 

11.  v 

287 

7.46 

306 

7.95 

325 

8.44 

367 

9.54 

406 

10.6 

477 

12.4 

344 

7.79 

368 

8.33 

390 

8.83 

441 

9.98 

488 

11.0 

408 

8,12 

436 

8.67 

462 

9.19 

523 

10.4 

579 

11.5 

.  .  .  .  . 

480 

8.46 

512 

9.02 

543 

9.57 

€14 

10.x 

«80 

12.0 

558 

8.77 

5% 

9.37 

632 

9.  !)3 

715 

11.2 

644 

9,09 

688 

9.71 

729 

10.3 

825 

11.6 

738 

9.40 

788 

10.0 

835 

10.6 

945 

12.0 

104 


HYDRAULIC   AXD   EXCAVATION    TABLES. 


Table  29. — Flow  of  water  in  second-feet  and  velocity  in  feet  per 
second  in  WOOd  stave  pip©  in  good  condition  having  ordinarily 
smooth  alignment  and  profile  based  on  the  formula 

'  *-8  H=friction  head  per  1,000  feet. 

5—  .—Continued. 


H— 


V =velocity  in  feet  per  second. 
d=diameter  of  pipe  in  inches. 


Diam- 
eter, 
in 
inches 

Friction  head,  in  teet  per  1,000  feet  length  of  pipe 

5.0 

6.0 

7.0 

8.0 

9.0 

10.0 

- 

Q 

V 

Q     \   V 

Q 

V 

Q 

V 

Q 

V 

a 

V 

3.72 

4.47 

5.17 
5.82 
6.43 
7.01 
7.58 

8.11 
8.64 
9.13 
9.60 
10.1 

10.6 
11.0 
11.4 
11.9 

12.3 

6 

8 

10 
12 
14 
16 

18 

20 
22 
24 
26 

28 

30 
32 
34 
36 
38 

40 
42 
48 
54 
60 

66 

0.50 
1.06 

1.92 
3.11 
4.68 
6.66 
9.10 

12.0 
15.5 
19.5 
24.1 
29.4 

35.2 
41.8 
49.1 
57.1 
65.9 

75.6 
86.0 
122 
167 
221 

285 

2.55 
3.04 
3.52 
3.96 
4.38 
4.77 
5.15 

5.50 
5.87 
6.21 
6.54 

6.88 

7.17 
7.49 
7.79 
8.08 
8.37 

8.66 
8.94 
9.71 
10.5 
11.3 

12.0 

0.55 
1.17 

2.12 
3.44 
5.18 
7.37 
10.1 

13.3 
17.1 
21.6 
26.7 
32.5 

39.0 
46.3 
54.3 
63.2 
73.0 

83.6 
95.1 
136 
185 
245 

2.80 
3.35 

3.89 
4.38 
4.85 
5.28 
5.72 

6.10 
6.48 
6.88 
7.24 

7.60 

7.95 
8.29 
8.61 
8.94 
9.27 

9.58 
9.89 
10.8 
11.6 
12.5 

0.60 
1.28 

2.31 
3.75 
5.64 
8.03 
11.0 

14.5 
18.7 
23.5 
29.1 
35.4 

42.5 
50.4 
59.2 
68.9 
79.5 

91.1 
104 
148 
202 

3.06 
3.67 

4.24 
4.77 
5.28 
5.75 
6.22 

6.65 

7.08 
7.48 
7.89 
8.28 

8.66 
9.02 
9.39 
9.75 
10.1 

10.4 
10.8 
11.8 
12.7 

0.65 
1.38 

2.49 
4.04 
6.07 
8.65 
11.8 

15.6 
20.1 
25.3 
31.3 
38.1 

45.8 
54.3 
63.8 
74.2 
85.6 

98.1 
112 
159 

3.26 
3.95 

4.57 
5.14 
5.68 
6.19 
6.68 

7.15 

7.61 
8.05 
8.49 
8.91 

9.33 
9.72 
10.1 
10.  5 
10.9 

11.2 
11.6 
12.6 

0.69 
1.47 

2.66 
4.31 
6.48 
9.23 
12.6 

16.7 
21.5 
27.0 
33.4 
40.7 

48.8 
58.0 
68.1 
79.2 
91.4 

105 
119 

3.51 
4.21 

4.88 
5.49 
6.06 
6.61 
7.13 

7.65 
8.14 
8.59 
9.06 
9.52 

9.94 
10.4 
10.8 
11.2 
11.6 

12.0 
12.4 

0.73 
1.56 

2.82 
4.57 
6.87 
9.79 
13.4 

17.7 

22.8 
28.7 
3o.4 
43.1 

51.8 
61.4 
72.2 
84.0 
96.9 

i 

Diam- 

Friction head,  in  feet  per  1,000  feet  length  of  pipe 

eter, 
in 
Inches 

12.5 

15.0 

17.5 

20.O 

25.O 

3O.O 

a 

V 

a 

V 

a 

V 

Q 

V 

Q        V 

Q 

V 

6.82 

8.22 

9.50 
10.7 
11.8 
12.9 

6 

8 

10 
12 
14 
16 
18 

20 
22 
24 
26 
28 

30 
32 

0.82 
1.77 

3.19 

5.17 
7.78 
11.1 
15.1 

20.0 

25.8 
32.5 
40.1 

48.8 

58.6 
69.5 

4.18 
5.07 

5.85 
6.58 
7.28 
7.95 
8.55 

9.17 
9.77 
10.3 
10.9 
11.4 

11.9 
12.4 

0.91 
1.95 

3.53 
5.72 
8.61 
12.3 
16.8 
22.1 
28.5 
35.9 
44.4 
54.0 

4.63 
5.59 

6.47 
7.28 
8.05 
8.81 
9.51 

10.1 
10.8 
11.4 
12.0 
12.6 

0.99 
2.13 
3.84 
6.23 
9.38 
13.4 
18.2 

24.1 
31.1 

39.1 

5.04 
6.10 

7.04 
7.93 
8.77 
9.60 
10.3 

11.0 
11.8 
12.4 

1.07 
2.29 

4.14 
6.71 
10.1 
14.4 
19.7 

26.0 
33.4 

5.45 
6.56 

7.59 
8.54 
9.45 
10.3 
11.1 

11.9 
12.7 

1.21    6.16 
2.59;  7.42 

4.69!  8.60 
7.60   9.68 
11.4    10.7 
16.3  11.7 
22.2   12.6 

1.34 

2.87 

5.18 
8.40 
12.6 
18.0 



.. 

HYDRAULIC   AND  EXCAVATION   TABLES. 


105 


Table  30. — Values  of  Kutter's  "  n"  as  experimentally  determined  for 
existing  wood  Stave  pipe  lines  under  various  -velocities  of  flow. 


Diam- 
eter, 
in 
inches 

Kind  of 
pipe* 

Velocity,  in  feet  per  second 

1 

2 

3 

4 

5 

6 

7 

8 

4 
5 

6 
6 
6 
6 

8 
8 
8 
8 
8 

10 
12 
14 
14 
14 
14 

18 

18 

18 
18 

22 
24 
24 
24 

31 
31 
36 
36 

40 
44.5 

48 
49 

54 
56 
56 

72.5 
72.5 
78 
144 
162 

JFX 
JFX 

JFX 
JF 
JFX 
JF 

JF 
JF 
JF 
JF 
JFX 

JFX 
JF 
JF 
JF 
JFX 
CR 

CF 
JFX 
CR 
JF 

JF 
JPX 
CR 
CR 

CFX 

CFX 
CF 
CFX 

CF 
CF 
CR 
CF 

CF 
CF 
CF 

CF 

CF 
CF 
CF 

CF 

.0114 
.0108 

.0102 
.0105 

.0104 
.0105 

.0101 

.0100 

.0097 



.0102 

.0100 
.0110 

.0116 

.0111 
.0111 

.0107 

.0095 

.0093 

.0090 

.0087 

.0102 

.0115 

.0110 

.0113 

.0112 

.6128 
.0112 
.0108 

.0110 
.0108 

.0106 

.0107 

I  

.0107 

.0101 

.0109 
.0109 

.0103 

.0122 

.0108 
.0131 

.0123 

.0127 



i 

.0114 

.0103 
.0134 

::::"" 

.0114 

.0132 

.0128 

.6147 

.0140 



.0118 

.0131 

.0129 

.0104 
.0102 

.0106 

.0113 

.0132 
.0110 
.0113 

.0136 
.0130 
.0139 

.0126 
.0106 
.0110 

.0133 
.0131 

.0122 

".'oils' 

.0150 

".'oies' 

.0106 
".'6132' 

".'oiie' 

".'oiie' 

".'6120' 
.0116 

".'6124' 

"  .6124 

*J=  jointed;  C=  continuous;  F=  Douglas  fir;  R=  redwood;  P=  white  pine;  X= 
practically  straight  alignment;  where  not  so  marked  alignment  contains  considerable 
percentage  of  curvature,  usually  both  horizontal  and  vertical. 


106 


HYDBAULIC   AND   EXCAVATION    TABLES, 


Table  31» — Flow  of  water  in  second-feet  and  velocity  in  feet  per 
second  in  lo-year-old  riveted.  Steel  pipe  based  on  the  Hazen- 
Williams formula,  coefficient  C=ioo. 

°-f>:!  j  c-54  o.ooi  -°-04 


Diam- 
eter, 
an 
inches 

s=.000.1 

S-.OOO2 

s=J0003 

s=.0004 

s=.0005 

S-.0006 

Q 

V 

Q 

V 

Q 

V 

Q     i    V 

Q 

V 

Q 

V 

6 

0.05 

0.25 

0.07 

0.36 

0.09 

0.46 

0.10 

0.51 

0.12 

0.61 

0.13 

0.60 

8 

0.10 

0.29 

0,15 

0.43 

aid 

0.54 

0.22 

0.63 

0.25 

0.72 

0.27 

0.77 

10 

0.19 

0.35 

0.27 

0.49 

as4 

0.62 

0.39 

0.72 

0.44 

0.81 

0.49 

0.90 

12 

0.30 

0.38 

0.43 

0.55 

0.54 

0.69 

0.63 

0.80 

0.71 

0.90 

0.79 

1.01 

14 

0.45 

0.42 

0.65 

0.61 

0.81 

0.76 

0.95 

0.89 

1.07 

.00 

1.18 

1.10 

16 

0.64 

0.46 

0.93 

ae? 

1.15 

0.82 

1.35 

0.97 

1.52 

.09 

1.68 

1.20 

18 

0.87 

0.49 

1.26 

0.71 

1.57 

0.89 

1.84 

1.04 

2.07 

.17 

2.29 

1.30 

20 

1.15 

0.53 

1.67 

0.77 

2,07 

0.95 

2.42 

1.11 

2.73 

.25 

8.02 

1.38 

22 

1.47 

0.56 

2.14 

0.81 

2.67 

1.01 

3.11 

1.18 

3.  51      .33 

3.88 

1.47 

24 

1.85 

0.59 

2.69 

0.86 

3.35 

1.07 

3.91 

1.24 

4.  42     .  41 

4.87 

1.  55 

26 

2.29 

0.62 

3.32 

0.90 

4.14 

1.12 

4.83    1.31 

5.45!     -48 

6.02 

1.6H 

28 

2.78 

0.65 

4.04 

0.94 

5.03 

1.18 

5.87 

1.37 

6.62 

.55 

7.81 

1.71 

30 

3.33 

0.68 

4.84 

0.99 

6.03 

1.23 

7.04 

1.43 

7.94 

.62 

8.76 

1.78 

32 

3.95 

0.71 

5.74 

1.03 

7.14 

1.28 

8.34 

1.49 

9.41 

.68 

10.4 

1.86 

34 

4.63 

0.73 

6.73 

1.07 

8.38 

1.33 

9.78 

1.55 

11.0 

.74 

12.2 

1.93 

36 

5.38 

0.76 

7.82 

1.11 

9,73 

1.38 

11.4 

.61 

12.8 

.81 

14.2 

2.01 

38 

6.20 

0.79 

9.01 

1.14 

11.2 

1.42 

13.1 

.66 

14.8 

.88 

16.3 

2.07 

40 

7.10 

0.81 

10.3 

1.18 

12.8 

1.47 

15.0 

.72 

16.9 

1.94 

18.7 

2.14 

42 

8.07 

0.84 

11.7 

1.22 

14.6 

1.52 

17.1 

.78 

19.2 

2.00 

21.2 

2.2(1 

44 

9.12 

0.86 

13.3 

1.26 

16.5 

1.56 

19.3 

.83 

21.7 

2.06 

24.0 

2.27 

46 

10.2 

0.88 

14.9 

1.29 

18.5 

1.60 

21.7 

.88 

24.4 

2.11 

27.0 

2.  :;  4 

48 

11.5 

0.91 

16.7 

1.33 

20.7 

1.65 

24.2 

.93 

27.3 

2.17 

30.2 

2.40 

50 

12.8 

0.94 

18.6 

1.36 

23.1 

1.69 

27.0 

1.98 

30.4 

2.23 

33.  6 

2.46 

62 

14.1 

0.96 

20.6 

1.40 

25.6 

1.74 

29.9 

2.03 

33.7 

2.29 

37.2 

2.  52 

54 

15.6 

0.98 

22.7 

1.43 

28.3 

1.78 

33.0 

2.08 

37.3 

2.34 

41.1 

2.58 

56 

17.2 

1.01 

25.0 

1.46 

31.1 

1.82 

36.3 

2.12 

41.0 

2.40 

45.  2 

2.64 

58 

18.9 

1.03 

27.4 

1.49 

34,1 

1.86 

39.9 

2.17 

45.0 

2.45 

49.6 

2.70 

60 

20.6 

1.05 

30.0 

1.53 

37.3 

1.90 

43.6 

2.22 

40,1 

2.50 

54.2 

2.76 

66 

26.5 

1.11 

38.5 

1.62 

47.9 

2.02 

56.0 

2.36 

63.2 

2.66 

69.7 

2.% 

72 

33.3 

1.18 

48.4 

1.71 

60.3 

2.13 

70.4 

2.49 

79.4 

2.81 

87.6 

3.  10 

78 

41.1 

1.24 

59.7 

1.80 

74.4 

2.24 

86.9 

2.62 

98.0 

2.95 

108 

3.20 

84 

49.9 

1.30 

72.6 

1.89 

90.4 

2.35 

106 

2.75 

119 

$.09 

131 

8.40 

90 

69.9 

1.36 

87.0 

1.97 

108 

2.44 

127 

2.87 

143 

$.24 

158 

3.5* 

96 

70.9 

1.41 

103 

2.05 

128 

2.55 

150 

2.98 

169 

$.36 

187 

3.72 

102 

83.2 

1.47 

121 

2.13 

151 

2.66 

176 

3.10 

198 

$.49 

219 

3.8C 

108 

96.7 

1.52 

141 

2.22 

175 

2.75 

204 

3.21 

231 

$.63 

254 

3.  $9 

114 

111 

1.57 

162 

2,29 

202 

2.85 

236 

3.33 

266 

$.75 

293 

4.  L! 

120 

128 

1.68 

186         2.37 

231 

2.94 

270 

3.44 

304 

$.87 

336 

4.2* 

NOTE. — For  new  cast-iron  pipe,  straight  and  smooth,  multiply  tabular  quanttes 
by  1.30;  lor  new  riveted  steel  or  lo-year-old  cast  iron,  i.io;  first-class  masonry  or 
concrete  conduits,  1.20;  vitrified  pipe,  i.io;  brick  sewers,  i.oo. 


HYDRAULIC   AND   EXCAVATION    TABLES. 


107 


Tal>le  31. — Flow  of  water  in  second-feet  and,  velocity  in  feet  per 
second  in  lo-year-old  riveted.  Steel  pipe  based  on  ike  Hazen- 
Williams  formula,  coefficient  C=ioo — Continued. 

V=C  r  °-63  s  °-54  0.007 


Diam- 
eter 
in 
inches 

s=.0007 

s=.OOO8 

S=.OOO9 

s-.ooio 

s     .0012 

s=.0014 

Q 

V 

Q 

V 

a 

V 

a 

V 

Q 

V 

Q 

V 

6 

0.14 

0.71 

0.15 

0.76 

0.16 

0.81 

0.17 

0.87 

0.18 

0.92 

0.20 

1.02 

8 

0.29 

0.84 

0.32 

0.92 

0.34 

0.97 

0.36 

1.03 

0.39 

1.12 

0.43 

1.23 

10 

0.53 

0.97 

0.57 

1.04 

0.61 

1.12 

0.64 

.17 

0.71 

1.30 

0.77 

1.41 

12 

0.86 

1.09 

0.92 

1.17 

0.98 

1.25 

1.04 

.32 

1.14 

1.45 

1.24 

1.58 

14 

1.28 

1.20 

1.38 

1.29 

1.47 

1.37 

1.56 

.46 

1.72 

1.61 

1.87 

1.75 

16 

1.82 

1.30 

1.98 

1.40 

2.09 

1.50 

2.21 

.58 

2.44 

1.75 

2.65 

1.90 

18 

2.48 

1.40 

2.67 

1.51 

2.85 

1.61 

3.01 

.70 

3.32 

1.88 

3.61 

2.04 

2O 

3.28 

1.50 

3.52 

1.61 

3.75 

1.72 

3.97 

1.82 

4.39 

2.01 

4.77 

2.19 

22 

4.21 

1.60 

4.53 

1.72 

4.82 

1.88 

5.11 

1.93 

5.63 

2.13 

6.12 

2.32 

24 

5.29 

1.68 

5.69 

1.81 

6.06 

1.93 

6.42 

2.04 

7.08   2.25 

7.70 

2.45 

26 

6.54 

1.77 

7.03 

1.91 

7.49 

2.03 

7.93 

2.15 

8.75   2.37 

9.50 

2.58 

28 

7.94 

1.86 

8.54 

2.00 

9.10 

2.13 

9.63 

2.26 

10.6 

2.48 

11.5 

2.69 

30 

9.52 

1.94 

10.2 

2.08 

10.9 

2.22 

11.5 

2.34 

12.7 

2.59 

13.8 

2.81 

32 

11.3 

2.02 

12.1 

2.17 

12.9 

2.31 

13.7 

2.45 

15.1 

2.70 

16.4 

2  94 

34 

13.2 

2.09 

14.2 

2.25 

15.2 

2.41 

16.0 

2.54 

17.7 

2.81 

19.2 

3.05 

36 

15.4 

2.18 

16.5 

2.33 

17.6 

2.49 

18.6 

2.63 

20.6 

2.91 

22.4 

3.17 

38 

17.7 

2.25 

19.1 

2.42 

20.3 

2.58 

21.5 

2.73 

23.7 

3.01 

25.8 

3.28 

40 

20.3 

2.33 

21.8 

2.50 

23.2 

2.66 

24.6 

2.82 

27.1 

3.11 

29.5 

3.38 

42 

23.1 

2.40 

24.8 

2.58 

26.4 

2.74 

28.0 

2.91 

30.9 

3.21 

33.5 

3.48 

44 

26.1 

2.47 

28.0 

2.65 

29.9 

2.83 

31.6 

2.99 

34.9 

3.30 

37.9 

3.59 

46 

29.3 

2.54 

31.5 

2.73 

33.6 

2.91 

35.5 

3.08 

39.2 

3.40 

42.6 

3.69 

48 

32.8 

2.61 

35.2 

2.80 

37.5 

2.98 

39.7 

3.16 

43.8 

3.49 

47.7 

3.79 

50 

36.5 

2.68 

39.2 

2.88 

41.8 

3.07 

44.2 

3.24 

48.8 

3.68 

53.1 

3.89 

52 

40.5 

2.75 

43.5 

2.95 

46.3 

3.14 

49.0 

3.32 

54.1 

3.67 

58.8 

3.99 

54 

44.7 

2.81 

48.0 

3.02 

51.2 

3.22 

54.2 

3.41 

59.8 

3.76 

65.0 

4.09 

56 

49.2 

2.88 

52.8 

3.09 

56.3 

3.29 

59.6 

3.48 

65.8 

3.85 

71.5 

4.18 

58 

53.9 

2.94 

57.9 

3.16 

61.8 

3.37 

65.4 

3.56 

72.1 

3.93 

78.4 

4.27 

6O 

58.9 

3.00 

63.3 

3.22 

67.5 

3.44 

71.5 

3.64 

78.9 

4.02 

85.7 

4.37 

66 

75.7 

3.19 

81.4 

3.43 

86.7 

3.65 

91.8 

3.86 

101 

4.25 

110 

4.63 

72 

95.2 

3.37 

102 

3.61 

109 

3.86 

115 

4.07 

127 

4.49 

138 

4.88 

78 

118 

3.56 

126 

3.80 

135 

4.07 

142 

4.28 

157 

4.73 

171 

5.15 

84 

143 

3.71 

153 

3.98 

164 

4.26 

178 

4.50 

191 

4.96 

208 

5.40 

9O 

171 

3.87 

184 

4.17 

1M 

4.44 

208 

4.71 

229 

5.18 

249 

5.64 

96 

203 

4.04 

218 

4.34 

232 

4.62 

246 

4.89 

271 

5.39 

295 

5.87 

1O2 

238 

4.19 

256 

4.51 

273 

4.81 

289 

5.09 

318 

5.60 

346 

6.10 

108 

277 

4.35 

297 

4.67 

317 

4.98 

335 

5.27 

370 

5.82 

402 

6.32 

114 

319 

4.50 

343 

4.84 

365 

5.15 

387 

5.46 

427 

6.02 

464        6.55 

120 

365 

4.65 

392 

4.99 

418 

5.32 

442 

5.63 

488 

6.21 

631      I  6.76 

NOTE.— For  new  cast-iron  pipe,  straight  and  smooth,  multiply  tabular  quantities 
by  1.30;  for  new  riveted  steel  or  lo-year-old  cast-iron,  x.io;  first-class  masonry  or 
concrete  conduits,  1.20;  vitrified  pipe,  i.zo;  brick  sewers,  i.oo. 


108 


HYDKAULIC   AND   EXCAVATION    TABLES. 


Table  31. — Flow  of  -water  in  second-feet  and  velocity  in  feet  per 
second  in  ten-year-old  riveted  steel  pipe  based  on  the  Hazen- 
Williams formula,  coefficient  C=ioo — Continued. 

V=C  r  °-63  s  °-54  o.ooi  -°-04 


Diam- 
eter, 
in 
inches 

s  =  .001G 

s=.0018 

s=.OO2O 

s=.OO25 

s=.0030 

s=.OO4O 

a 

V 

Q 

V 

ft 

V 

Q 

V 

Q 

V 

Q 

V 

6 

0.22 

1.12 

0.23 

1.17 

0.24 

1.22 

0.27 

1.38 

0.30 

1.53 

0.35 

1.78 

8 

0.46 

1.32 

0.49 

1.40 

0.52 

1.49 

0.59 

1.69 

0.65   1.86 

0.75 

2.15 

10 

0.83 

1.52 

0.88 

1.61 

0.93 

1.71 

1.05 

1.93 

1.16   2.13 

1.36 

2.49 

12 

1.34 

1.71 

1.42 

1.81 

1.51 

1.92 

1.70 

2.16 

1.88   2.39 

2.19 

2.79 

14 

2.00 

1.87 

2.14 

2.00 

2.26 

2.11 

2.55 

2.39 

2.82 

2.64 

3.29 

3.  OX 

16 

2.85 

2.04 

3.03 

2.17 

3.21 

2.30 

3.62 

2.59 

4.00 

2.86 

4.67 

3.  :ir» 

18 

3.88 

2.20 

4.14 

2.34 

4.38 

2.48 

4.94 

2.80 

5.45 

3.08 

6.37 

3.60 

2O 

5.12 

2.35 

5.46 

2.50 

5.78 

2.65 

6.52 

2.99 

7.19 

3.30 

8.40 

3.85 

22 

6.58 

2.49 

7.01 

2.66 

7.42 

2.81 

8.38 

3.17 

9.24 

3.50 

10.8 

4.09 

24 

8.27 

2.63 

8.82 

2.81 

9.33 

2.97 

10.5 

3.34 

11.6 

3.69 

13.6 

4.33 

26 

10.2 

2.77 

10.9 

2.96 

11.5 

3.12 

13.0 

3.53 

14.3 

3.88 

16.8 

4.56 

28 

12.4 

2.90 

13.2 

3.09 

14.0 

3.27 

15.8 

3.69 

17.4 

4.07 

20.4 

4.77 

30 

14.9 

3.03 

15.9 

3.24 

16.8 

3.42 

18.9 

3.85 

20.9 

4.26 

24.4 

4.97 

32 

17.6 

3.15 

18.8 

3.37 

19.9 

3.56 

.22.4 

4.01 

24.8 

4.44 

28.9 

5.17 

34 

20.7 

3.28 

22.0 

3.49 

33.3 

3.70 

26.3 

4.17 

29.0 

4.60 

33.9 

5.38 

36 

24.0 

3.40 

25.6 

3.62 

27.1 

3.83 

30.6 

4.33 

33.7 

4.77 

39.4 

5.58 

38 

27.7 

3.52 

29.5 

3.75 

31.3 

3.97 

35.3 

4.48 

38.9 

4.94 

45.4 

5.76 

40 

31.7 

3.63 

33.8 

3.87 

35.8 

4.iO 

40.4 

4.63 

44.5 

5.10 

52.0 

5.96 

42 

36.1 

3.75 

38.4 

a.  99 

40.7 

4.23 

45.9 

4.77 

50.6 

5.26 

59.1 

6.14 

44 

40.7 

3.85 

43.4 

4.11 

46.0 

4.36 

51.8 

4.91 

57.2 

5.42 

66.8 

6.33 

46 

45.8 

3.97 

48.8 

4.23 

61.7 

4.48 

58.3 

5.05 

64.3 

6.57 

75.1 

6.51 

48 

51.2 

4.07 

54.6 

4.34 

57.8 

4.60 

65.2 

5.19 

71.9 

5.79, 

84.0 

6.68 

5O 

57.0 

4.18 

60.8 

4.46 

64.3 

4.72 

72.6 

5.32 

80.1 

6.8V 

93.5 

6.86 

52 

63.2 

4.29 

67.4 

4.57 

v  1.     ., 

4.84 

80.4 

5.45 

88.8 

6.02 

104 

7.05 

54 

69.8 

4.39 

74.4 

4.68 

78.8 

4.9o 

88.8 

5.58 

98.0 

6.16 

115 

7.23 

56 

76.8 

4.49 

81.9 

4.79 

86.  / 

5.07 

97.8 

6.72 

108 

6.31 

126 

7.37 

58 

84.3 

4.59 

89.8 

4.89 

95.  u 

5.18 

107 

5.83 

118 

6.43 

138 

7.52 

60 

92.1 

4.69 

98.2 

5.00 

104 

5.30 

117 

5.96 

129 

6.57 

151 

7.69 

66 

118 

4.97 

126 

6.30 

134 

5.64 

151 

6.35 

16G 

6.L9 

194 

8.17 

72 

149 

5.27 

159 

6.62 

168 

5.94 

189 

6.69 

209 

7.39 

244 

8.63 

78 

184 

5.54 

196 

5.91 

207 

6.24 

234 

7.05 

258 

7.77 

301 

9.07 

84 

223 

6.80 

238 

6.18 

252 

6.55 

284 

7.38 

313 

8.13 

366 

9.51 

90 

268 

6.07 

285 

6.45 

302 

6.83 

340 

7.70 

376 

8.51 

439 

9.94 

96 

317 

6.31 

338 

6.72 

358 

7.12 

403 

8.02 

445 

8.85 

520 

10.3 

102 

372 

6.56 

396 

6.98 

419 

7.38 

473 

8.34 

522 

9.20 

610 

10.7 

108 

432 

6.79 

461 

7.25 

488 

7.67 

550 

8.64 

607 

9.54 

709 

11.1 

114 

498 

7.03 

531 

7.491  5b2 

7.93 

634 

8.94 

700 

9.88 

817 

11.5 

120 

570 

7.26 

608 

7.745  643 

8.19 

726 

9.24 

801 

10.2 

935 

11.9 

NOTE.— For  new  cast-iron  pipe,  straight  and  smooth,  multiply  tabular  quantities 
by  1.30;  for  new  riveted  steel  or  lo-year-old  cast  iron,  i.io;  first-class  masonry  or 
concrete  conduits,  1,20;  vitrified  pipe,  i.io;  brick  sewers,  i.oo. 


HYDRAULIC   AND   EXCAVATION    TABLES. 


109 


31. — Flow  of  water  in  second-feet  and  velocity  in  feet  per 
second  in  lO-year-old  riveted  Steel  pipe,  based  on  the  Hazen- 
Williams formula,  coefficient  C=ioo — Continued. 

V=C  r  0.63  ^.54  0.007-0.04 


Diam- 
eter, 

s-.OOo 

S=.OO6 

-s=.007 

S-.OO8 

s  .OO9 

s=  .010 

in 

1 

inches 

Q 

V 

Q 

V 

Q 

V 

Q 

V 

Q  \  V 

Q 

V 

6 

0.40 

2.04 

0.44 

2.24 

0.49 

2.44 

0.51 

2.60 

0.55'  2.80 

0.58 

2.95 

8 

0.85 

2.44 

0.94 

2.69 

1.02 

2.92 

1.10 

3.15 

1.17 

3.35 

1.24 

3.55 

10 

1.53 

2.81 

1.69 

3.10 

1.84 

3.37 

1.97 

3.61 

2.10 

3.85 

2.23 

4.09 

12 

2.47 

3.15 

2.73 

3.48 

2.97 

3.78 

3.19 

4.06 

3.40 

4.33 

3.60  4.58 

14 

3.71 

3.47 

4.09 

3.83 

4.45 

4.16 

4.78 

4.47 

5.10 

4.77 

5.39  5.04 

16 

5.27 

3.77 

5.81 

4.16 

6.32 

4.  .53 

6.79 

4.86 

7.23 

5.18 

7.66  5.49 

18 

7.18 

4.06 

7.93 

4.49 

8.62 

4.88 

9.26 

5.24 

9.87 

5.58 

10.4 

5.89 

'JO 

9.48 

4.34 

10.5 

4.81 

11.4 

5.23 

12.2 

5.59 

13.0 

5.96 

13.8 

6.33 

22 

12.2 

4.62 

18.3 

5.08 

14.6 

5.53 

15.7 

5.95 

16.7 

6.33 

17.7 

6.71 

24 

15.3 

4.87 

16.9 

5.38 

18.4 

5.86 

19.7 

6.27 

21.0 

6.69 

22.3 

7.10 

26 

18.9 

5.13 

20.9 

5.67 

22.7 

6.16 

24.4 

6.62 

26.0 

7.05 

27.5 

7.46 

28 

23.0 

6.38 

25.3 

5.92 

27.5 

6.43 

29.6 

6.92 

31.5 

7.37 

33.4 

7.81 

30 

27.5 

5.60 

30.4 

6.19 

33.0 

6.72 

35.5 

7.23 

37.8 

7.70 

40.0 

8.15 

32 

32.6 

5.84 

36.0 

6.45 

39.1 

7.00 

42.0 

7.52 

44.8 

8.02 

47.4 

8.49 

34 

38.3 

6.07 

42.2 

6.69 

45.9 

7.28 

49.3 

7.82 

52.6 

8.34 

55.6 

8.82 

36 

44.5 

6.30 

49.1 

6.95 

53.3 

7.54 

57.3 

8.11 

61.1 

8.64 

64.7 

9.15 

38 

51.3 

6.51 

56.6 

7.19 

61.5 

7.81 

66.1 

8.39 

70.4 

8.94 

74.5 

9.46 

4O 

58.7 

6.73 

64.7 

7.41 

70.4 

8.07 

75.6 

8.66 

80.6 

9.24 

85.3 

9.77 

42 

66.7 

6.93 

73.6 

7.65 

80.0 

8.32 

86.0 

8.94 

91.6 

9.52 

97.0 

10.1 

44 

75.4 

7.14 

83.2 

7.88 

90.4 

8.56 

97.2 

9.20 

104 

9.85 

110 

10.4 

46 

84.7 

7.34 

93.5 

8.10 

102 

8.84 

109 

9.45 

116 

10.1 

123 

10.7 

48 

94.8 

7.54 

105 

8.36 

114 

9.07 

122 

9.71 

130 

10.3 

138 

11.0 

50 

106 

7.77 

116 

8.51 

127 

9.31 

136 

9.97 

145 

10.6 

153 

11.2 

52 

117 

7.93 

129 

8.75 

140 

9.49 

151 

10.2 

161 

10.9 

170 

11.5 

54 

129 

8.11 

143 

8.99 

155 

9.75 

166 

10.4 

177 

11.1 

188 

11.  S 

56 

142 

8.30 

157 

9.18 

170 

9.94 

183   10.  7 

195 

11.4 

207 

12.1 

58 

156 

8.50 

172 

9.37 

187 

10.2 

201 

11.0 

214 

11.7 

227 

12.4 

60 

170 

8.66 

188 

9.58 

204 

10.4 

220 

11.2 

234 

11.9 

248 

12.6 

66 

219 

9.22 

242 

10.2 

263 

11.1 

282 

11.9 

301 

12.7 

ITS 

13.4 

72 

275 

9.73 

304 

10.7 

330   11.7 

3.55   12.  6 

378 

13.4 

400 

14.2 

78 

340 

10.2 

375 

11.3 

407   12.  3 

438 

13.2 

467 

14.1 

494 

14.9 

84 

413 

10.7 

456 

11.8 

495 

12.9 

532 

13.8 

567 

14.7 

600 

15.6 

9O 

495 

11.2 

546   112.4 

594 

13.4 

638 

14.4 

680 

15.4 

720 

16.3 

96 

587 

11.7 

-647— 

12:9" 

704 

14.0 

756 

15.0 

806 

16.0 

853 

17.0 

102 

688 

12.1 

759 

13.4 

825 

14.5 

887 

15.6 

945 

16.7 

1000 

17.6 

108 

800 

12.6 

882 

13.9 

959 

15.1 

1031 

16.2 

1098 

17.3 

1163 

18.3 

114 

922 

13.0 

1017 

14.3 

1105 

15.6 

1188 

16.8 

1266 

17.9 

1340 

18.9 

12O 

1055 

13.4 

1164 

14.8 

1265 

16.1 

1360 

17.3  11449 

18.4 

1534 

19.5 

NOTE.— For  new  cast-iron  pipe,  straight  and  smooth,  multiply  tabular  quantities 
by  1.30;  for  new  riveted  steel  or  loyear  old  cast-iron,  i.io;  first-class  masonry  or  con- 
crete conduits,  1.20;  vitrified  pipe,  i.io;  brick  sewers,  i.oo. 

Values  below  horizontal  lines  should  be  used  with  caution,  as  experimental  data 
are  almost  entirely  lacking  for  high  velocities  in  pipes  of  this  size. 


110 


HYDRAULIC   AND  EXCAVATION   TABLES. 


Tal>le  31. — Flo-w  of  -water  in  second-feet  and  velocity  in  feet  per 
second  in  lO-year-old  riveted  Steel  pipe,  based  on  the  Hazen- 
Williams formula,  coefficient  C=loo — Continued. 

V= 


Diam- 
eter, 

M-.0135 

s=  .015 

s-  .01  75 

9=J020 

s=j025 

s-  X>3O 

in 
indies 

Q 

V 

Q 

V 

Q 

V 

Q 

V 

Q 

V 

Q 

V 

6 

8 

10 
13 

14 
16 

18 

2O 

a» 

24 

»6 

£8 

30 
32 
34 
36 
38 

40 
42 
44 

46 

48 

SO 
53 

54 
56 

58 

60 
66 
73 

78 

84 
90 
96 
100 
108 

0.66 
1.49 

2.51 
4.06 
6.08 
8.64 
11.8 

15.5 
20.0 
25.1 
31.0 
37.7 

45.2 
33.5 
6X8 
72.9 
84.1 

96.2 
109 
124 
139 
155 

MBMBV^MM 

173 
192 
212 
233 
256 

280 
35» 
451 
557 

677 
812 
962 
1128 
1311 

3.36 
4.01 

4,60 
5,17 
5.69 
6,19 
6.68 

7.11 
7.58 
7.99 
8.41 
8.82 

9.21 
9.58 
9.98 
10.3 
10.7 

11.0 
11.3 
11.7 
12.0 
12.3 

—  ^—  . 

12,7 
13.0 
13.3 
13.6 
13.9 

14.3 
15.1 

16.0 
16.8 

17.6 
18.4 
19.  1 
19.9 
20.6 

0.72 
1.5* 

2.77 
4.48 
6.71 
9.53 
13.0 

17.2 
22.0 
27.7 
34.2 
41.6 

49.8 
59.0 
69.3 
80.5 
92.8 

106 
121 

3.67 
4.41 

5.08 
5.70 
6.28 
6.83 
7.36 

7.88 
8.33 
8.82 
9.28 
9.73 

10.1 
10.6 
11.0 
11.4 
11.8 

12.2 
12.6 

0.79 
1.67 

3.01 
4.86 
7.30 
10.4 
14.1 

18.6 
24.0 
30.1 
37.2 
45.2 

54.2 
64.2 
75.3 
87.5 

TOT- 

115 
131 
148 
1«7 
186 

208 
230 
254 
280 
307 

335 
431 

541 
66S 

4.02 
4.79 

5.52 
6.19 
6.83 
7.45 
7.98 

8.53 
9.09 
9.58 
10.1 
10.6 

11.0 
11.5 
11.9 
12.4 

1278" 

13.2 
13.6 
14.0 

14.5 
14.8 

15.2 
15.6 
16.0 
16.4 
16.7 

17.1 
18.1 
19.1 
20.1 

0.84 
1.80 

3.24 
5.23 
7.84 
11.1 
15.2 

20.0 
25.7 
32.4 
40.0 
48.5 

58.2 
69.0 

4.28 
5.16 

5.94 
6.66 
7.33 

7.95 
8.60 

9.17 
9.74 
10.3 
10.8 

0.95 
2.03 

3.65 
5.90 
8.85 
12.6 
17.1 

22.6 
29.0 
36.5 
45.1 

4.84 
5.82 

6.69 
7.51 
8.28 
9.03 
9.68 

10,4 
11.0 
11.6 

12.2 

1.05 
2.24 

4.03 
6.51 
9.76 
13.9 
18.9 

24.9 
32.0 
40.3 

nrr 

60.4 

72.4 
85.8 
101 
117 
135 

154 
176 
198 
223 
249 

278 

5.35 
6.42 

7.39 
8.29 
9.13 
9.96 
10.7 

11.4 
12.1 
12.8 

TO- 

14.1 

14.7 
15.4 
16.0 
16.6 
17.1 

17.7 
18.3 
18.8 
19.3 
19.8 

20.4 

11.3 

11.9 

12.4 

54.8 

65.7 
77.8 
91.2 
106 
122 

140 
159 
180 
202 

226 

252 
279 
308 
339 
372 

406 

12.8 

13.4 
13.9 
14.5 
15.0 
15.5 

16.0 
16.5 
17.0 
17.5 
18.0 

18.5 
18.9 
19.4 
19.8 
20.3 

20.7 

80.  9 
94.0 
108 

124 
141 
159 
179 
200 

223 

247 
273 
300 
330 

360 
463 

582 

12.8 
13.3 
13.7 

M.2 
14.7 
15.1 
15.5 
15.9 

16.4 
16.8 
17.2 
17.5 
18.0 

18.3 
19.5 
20.6 

136 

153 
172 

191 
212 
234 
257 
282 

308 
396 
498 
615 

747 

896 

i2.9 
13-3 
13.7 

14,0 
14.4 
14.7 

15.0 
15.4 

15.7 

16.7 
17.6 
18.5 

19.4 
20.3 








NotE.— For  aew  cast-iron  pipe,  straight  and  smooth,  multiply  tabular  qoantities 
by  1.30;  for  new  riveted  steel  or  lo-year-old  cast  iron,  i.io;  first-class  masonry  or 
concrete  conduits,  1.20;  vitrified  pipe,  i.io;  brick  sewers,  i.oo. 

Values  below  horizontal  lines  should  be  used  with  caution,  as  experimental  data 
are  almost  entirely  lacking  for  high  velocities  in  pipes  of  this  size. 


HYDBAULIC    AND   EXCAVATION    TABLES. 


Ill 


Table     32. — Weight  of  cast-iron  pipe  in  pounds  per  running  foot. 

{The  weight  of  cast  iron  is  assumed  to  be  450  pounds  per  cubic  foot,  or  0.2604  pound 
per  cubic  inch.  For  spigot  and  faucet  joints  add  to  the  weight  of  each  section  of 
pipe  of  any  size  the  weight  of  8  inches  in  length  of  the  plain  pipe  as  given  in  the 
table.  For  lead  pipe  multiply  by  1.6;  copper,  multiply  by  1.2;  brass,  add 
one-seventh;  wrought  iron,  add  one-fifteenth.) 


Inner 
diame- 
ter of 
bo  re  in 
inches^ 

Thickness  of  iron  in  inches 

M 

>a 

% 

H 

V* 

1 

ft 

1* 

I** 

tt 

1 

5.07 

7.38 

9.99 

12.9 

16.2 

19.7 

23.5 

27.7 

32.1 

36.9 

V4 

6.00' 

8.61 

11.5 

14.8 

18.3 

22.2 

26.3 

30.8 

35.5 

40.6 

1H 

6.92 

9.84 

13.1 

16.6 

20.5 

24.6 

29.1 

33.8 

38.9 

44.3 

l^| 

7.84 

11.1 

14.6 

18.5 

22.6 

27.1 

31.8 

36.9 

42.3 

48.0 

2 

8.76 

12.3 

16.2 

20.3 

24.8 

29.5 

34.6 

40.0 

45.7 

51.7 

2^ 

9.69 

13.5 

17.7 

22.2 

26.9 

32.0 

37.4 

43.1 

49.0 

55.4 

t£ 

10.6 

14.8 

19.2 

24.0 

29.1 

34.5 

40.1 

46.1 

52.4 

59.1 

2% 

11.5 

16.0 

20.8 

25.9 

31.2 

36.9 

42.9 

49.2 

55.8 

62.7 

3 

12.5 

17.2 

22.3 

27.7 

33.4 

39.4 

45.7 

52.3 

59.2 

66.4 

«H 

14.3 

19.7 

25.4 

31.4 

37.7 

44.3 

51.2 

58.4 

65.9 

73.8 

4 

16.1 

22.2 

28.5 

35.1 

42.0 

49.2 

56.7 

64.6 

72.7 

81.2 

*tf 

18.0 

24.6 

31.5 

38.8 

46.3 

54.1 

62.3 

70.7 

79.5 

88.6 

5 

19.8 

27.1 

34.6 

42.5 

50.6 

59.1 

67.8 

76.9 

87.2 

96.0 

5M 

21.7 

29.5 

37.7 

46.1 

54.9 

64.0 

73.3 

83.0 

94.0 

103 

6 

25.4 

32.0 

40,8 

49.8 

59.2 

68.9 

78.9 

89  2 

99,8 

111 

7 

27.3 

36.9 

46.9 

57.2 

67.8 

78.7 

89.4 

102 

113 

126 

9 

30.9 

41.8 

53.1 

64.6 

76.4 

88.6 

101 

114 

127 

140 

9 

34.6 

46.8 

59.2 

72.0 

85.1 

98.4 

112 

126 

140 

155 

10 

38.3 

51.7 

65.3 

79.4 

93.6 

108 

123 

138 

154 

170 

11 

42.0 

56.6 

71.5 

86.7 

102 

118 

134 

151 

168 

185 

12 

45.7 

61.5 

77.7 

94.1 

111 

128 

145 

163 

181 

199 

13 

49.4 

66.4 

83.8 

102 

120 

138 

156 

175 

195 

214 

14 

53.1 

71.4 

89.4 

109 

128 

148 

168 

188 

208 

229 

15 

56.7 

76.3 

96.1 

116 

137 

158 

179 

200 

222. 

244 

16 

60.4 

81Ji 

102 

124 

145 

167 

190 

212 

235 

258 

17 

64.1 

86.1 

108 

131 

154 

177 

201 

225 

249 

273 

18 

67.8 

91.0 

115 

139 

163 

187 

212 

237 

262 

288 

19 

71.5 

96.0 

121 

146 

171 

197 

223 

249 

276. 

303 

26 

75.2 

101 

127 

153 

180 

207 

234 

261 

289. 

317 

21 

78.9 

100 

133 

161 

188 

217 

245 

274 

303 

332 

22 

82.6 

111 

139 

168 

196 

227 

256 

286 

316 

347 

23 

86.3 

116 

145 

175 

206 

236 

267 

298 

330 

362 

24 

89.9 

121 

152 

183 

214 

246 

278 

311 

343 

375 

25 

93.6 

126 

158 

190 

223 

256 

289 

323 

357 

391 

26 

97.3 

131 

164 

198 

231 

266 

300 

335 

370 

406 

27 

101 

135 

170 

205 

240 

276 

311 

348 

384 

421 

28 

105 

140 

176 

212 

249 

286 

323 

360 

397 

436 

29 

109 

145 

182 

220 

257 

295 

334 

372 

411 

450 

30 

112 

150 

188 

227 

266 

305 

345 

384 

424 

465 

31 

116 

155 

195 

234 

275 

315 

356 

397 

438 

480 

32 

120 

160 

201 

242 

283 

325 

367 

409 

451 

495 

33 

123 

165 

207 

249 

292 

335 

378 

421 

465 

509 

34 

127 

170 

213 

257 

300 

345 

389 

434 

479 

524 

34 

131 

175 

219 

264 

309 

354 

400 

446 

492 

539 

36 

134 

180 

225 

271 

318 

364 

411 

458 

506 

554 

42 

156 

210 

262 

313 

370 

423 

478 

532 

588. 

644 

48 

178 

239 

298 

359 

422 

482 

544 

605 

669 

733 

54 

199 

267 

335 

403 

472 

541 

610 

679 

750 

817 

60 

222 

297 

372 

447 

522 

599 

675 

752 

828 

906 

112 


HYDRAULIC   AND  EXCAVATION   TABLES. 


; 

Tal)l©  33. — Theoretical  velocity  of  water  in  feet  per  second  for  various 

heads. 


Head, 
in  feet 

0.000 

0.001 

O.OO2 

O.OO3 

O.OO4 

O.OO5 

0.006 

0.007 

0.008 

O.OOJ« 

0.00 

0.254 

0.358 

0.439 

0.507 

0.567 

0.621 

0.671 

0.717 

0.761 

.01 

"6.'  802 

0.841 

0.878 

0.914 

0.949 

0.982 

1.014 

1.046 

1.076 

1.105 

.03 

1.134 

.162 

1.190 

1.216 

1.242 

1.268 

1.293 

1.318 

1.342 

1.36U 

.03 

1.388 

.412 

1.435 

1.457 

1.479 

1.500 

1.522 

1.543 

1.563 

1.584 

;    -°4 

1.604 

.624 

1.644 

1.663 

1.682 

1.701 

1.720 

1.739 

1.757 

1.775 

.05 

1.793 

.811 

1.829 

1.846 

1.864 

1.881 

1.898 

1.915 

1.931 

1.94S 

.06 

1.964 

.981 

1.997 

2.013 

2.028 

2.045 

2.070 

2.076 

2.091 

2.107 

.07 

2.122 

2.137 

2.152 

2.167 

2.182 

2.196 

2.211 

2.225 

2.240 

2.254 

.08 

2.268 

2.283 

2.297 

2.310 

2.324 

2.338 

2.352 

2.366 

2.379 

2.39:1 

.09 

t 

2.406 

2.419 

2.433 

2.446 

2.459 

2.472 

2.485 

2.498 

2.511 

2.  523 

!         .10 

2.536 

2.549 

2.561 

2.574 

2.586 

2.599 

2.611 

2.623 

2.636 

2.  64s 

.11 

2.660 

2.672 

2.684 

2.696 

2.708 

2.720 

2.732 

2.743 

2.755 

2.  767 

.13 

2.778 

2.790 

2.801 

2.813 

2.824 

2.835 

2.847 

2.858 

2.869 

2.880 

;        .13 

2.892 

2.903 

2.914 

2.925 

2.936 

2.947 

2.958 

2.968 

2.979 

2.99U 

\        •" 

3.001 

3.011 

3.022 

3.033 

3.043 

3.054 

3.064 

3.075 

3.085 

3.096 

.15 

3.106 

3.116 

3.127 

3.137 

3.147 

3.157 

3.168 

3.178 

3.188 

3.198 

.16 

3.208 

3.218 

3.228 

3.238 

3.248 

3.258 

3.267 

3.277 

3.287 

3.297 

.17 

3.307 

3.316 

3.326 

3.336 

3.345 

3.355 

3.365 

3.374 

3.384 

3.  3ft< 

.18 

3.402 

3.412 

3.421 

3.431 

3.440 

3.450 

3.459 

3.468 

3.477 

3.4St> 

.19 

3.496 

3.505 

3.514 

3.523 

3.532 

3.541 

3.551 

3.560 

3.569 

3.578 

Head 
in  feet 

0.00 

O.O1 

0.03 

0.03 

0.04 

0.05 

0.06 

0.07 

0.08 

O.09 

0.3 

3.586 

3.675 

3.762 

3.846 

3.929 

4.010 

4.089 

4.167 

4.244 

4.319 

0.3 

4.393 

4.465 

4.536 

4.628 

4.676 

4.745 

4.812 

4.878 

4.944 

5.  00* 

0.4 

5.072 

5.135 

5.197 

5.259 

5.320 

5.380 

5.439 

5.498 

5.556 

6.61-1 

0.5 

5.671 

5.727 

5.783 

5.838 

5.893 

5.947 

6.001     6.054 

6.107 

6.160 

0.6 

6.212 

6.263 

6.315 

6.365 

6.416 

6.465 

6.525 

6.564 

6.613 

ti.662 

0.7 

6.710 

6.757 

6.805 

6.852 

6.899 

6.946 

6.992 

7.038 

7.083 

7.  12s 

0.8 

7.  173 

7.218 

7.262 

7.306 

7.350 

7.394 

7.438     7.481 

7.523 

7.561. 

0.9 

7.608 

7.650 

7.692 

7.734 

7.776 

7.817 

7.858 

7.898 

7.939 

7.  979 

1.0 

8.020 

8.060 

8.099 

8.139 

8.179 

8.218 

8.257 

8.296 

8.335 

8.373 

1.1 

8.412 

8.450 

8.487 

8.525 

8.563 

8.600 

8.638 

8.675 

8.712 

8.  749 

1.2 

8.785 

8.822 

8.858 

8.894 

8.930 

8.967 

9.002 

9.038 

9.073 

9.  ION 

1.3 

9.144 

9.179 

9.214 

9.249 

9.284 

9.318 

9.353 

9.387 

9.421 

9.  45/V 

1.4 

9.489 

9.523 

9.557 

9.590 

9.624 

9.657 

9.690 

9.724 

9.757 

9.  790 

1.5 

9.822 

9.855 

9.888 

9.920 

9.953 

9.985 

10.017 

10.049 

10.081 

10.  113 

1.6 

10.145 

10.  176 

10.  208 

10.239 

10.  271 

10.302 

10.333 

10.364 

10.395 

10.  42  r> 

1.7 

10.457 

10.487 

10.518 

10.549 

10.579 

10.  611 

10.640 

10.670 

10.712 

10.730 

1.8 

10.760 

10.790 

10.  820 

10.849   10.879 

10.908 

10.  938 

10.  967 

10.996 

1  1.020 

1.9 

11.055 

11.084 

11.113 

11.142   11.171 

11.199 

11.228 

11.257 

11.285 

11.  31  1 

2.O 

11.342 

11.370 

11.399 

11.427   11.455 

11.483 

11.511 

11.539 

11.567 

11.594 

3.1 

11.622 

11.650 

11.  677 

11.705]  11.732 

11.750 

11.  787 

11.  814 

11.841 

11.  80S 

2.3 

11.  896 

11.923 

11.949 

11.9761  12.003 

12.030 

12.057 

12.083 

12.  110 

12.137 

2.3 

12.163 

12.189 

12.  216 

12.242   12.268 

12.  294 

12.  321 

12.  347 

12.  373 

12.399 

2.4 

12.424    12.450 

12.  476 

12.502   12.528 

12.  553 

12.  579 

12.604 

12.630   12.6->) 

2.5 

12.681 

12.Y06]  12.731 

12.757;  12.782 

12.  807 

12.832 

12.857 

12.882   12.907 

HYDRAULIC   AND  EXCAVATION   TABLES. 


113 


Table  33.  — Theoretical  velocity  of  ivater  in  feet  per  second  for  various 
heads — Continued . 

g=32.16. 


Head 
in  feet 

0.0 

0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

0 

0.0 

2.5 

3.6 

4.4 

5.1 

5.7 

6.2 

6.7 

7.2 

7.6 

1 

8.0 

8.4 

8.8 

9.1 

9.5 

9.8 

10.1 

10.5 

10.8 

11.1 

i 

11.3 

11.6 

11.9 

12.2 

12.4 

12.7 

12.9 

13.2 

13.4 

13.7 

3 

13.9 

14.1 

14.3 

14.6 

14.8 

15.0 

15.2 

15.4 

15.6 

15.8 

4 

16.0 

16.2 

16.4 

16.6 

16.8 

17.0 

17.2 

17.4 

17.6 

17.8 

5 

17.9 

18.1 

18.3 

18.5 

18.6 

18.8 

19.0 

19.2 

19.3 

19.5 

6 

19.6 

19.8 

20.0 

20.1 

20.3 

20.5 

20.6 

20.8 

20.9 

21.1 

7 

21.2 

21.4 

21.5 

21.7 

21.8 

22.0 

22.1 

22.3 

22.4 

22.5 

8 

22.7 

22.8 

23.0 

23.1 

23.3 

23.4 

23.5 

23.7 

23.8 

23.9 

9 

24.1 

24.2 

24.3 

24.5 

24.6 

24.7 

24.8 

25.0 

25.1 

25.2 

10 

25.4 

25.5 

25.6 

25.7 

25.9 

26.0 

26.1 

26.2 

26.4 

26.5 

11 

26.6 

26.7 

26.8 

27.0 

27.1 

27.2 

27.3 

27.4 

27.5 

27.7 

12 

27.8 

27.9 

28.0 

28.1 

28.2 

28.4 

28.5 

28.6 

28.7 

28.8 

13 

28.9 

29.0 

29.1 

29.2 

29.4 

29.5 

29.6 

29.7 

29.8 

29.9 

14 

30.0 

30.1 

30.2 

30.3 

30.4 

30.5 

30.6 

30.7 

30.9 

31.0 

15 

31.1 

31.2 

31.3 

31.4 

31.5 

31.6 

31.7 

31.8 

31.9 

32.0 

16 

32.1 

32.2 

32.3 

32.4 

32.5 

32.6 

32.7 

32.8 

32.9 

33.0 

17 

33.1 

33.2 

33.3 

33.4 

33.5 

33.5 

33.6 

33.7 

33.8 

33.9 

18 

34.0 

34.1 

34.2 

34.3 

34.4 

34.5 

34.6 

34.7 

34.8 

34.9 

19 

35.0 

35.0 

35.1 

35.2 

35.3 

35.4 

35.5 

35.6 

35.7 

35.8 

20 

35.9 

36.0 

36.0 

36.1 

36.2 

36.3 

36.4 

36.5 

36.6 

36.7 

21 

36.8 

36.8 

36.9 

37.0 

37.1 

37.2 

37.3 

37.4 

37.4 

37.5 

22 

37.6 

37.7 

37.8 

37.9 

38.0 

38.0 

38.1 

38.2 

38.3 

38.4 

23 

38.5 

38.5 

38.6 

38.7 

38.8 

38.9 

39.0 

39.0 

39.1 

39.2 

24 

39.3 

39.4 

39.5 

39.5 

39.6 

39.7 

39.8 

39.9 

39.9 

40.0 

25 

40.1 

40.2 

40.3 

40.3 

40.4 

40.5 

40.6 

40.7 

40.7 

40.8 

26 

40.9 

41.0 

41.1 

41.1 

41.2 

41.3 

41.4 

41.4 

41.5 

41.6 

27 

41.7 

41.8 

41.8 

41.9 

42.0 

42.1 

42.1 

42.2 

42.3 

42.4 

28 

42.4 

42.5 

42.6 

42.7 

42.7 

42.8 

42.9 

43.0 

43.1 

43.2 

29 

43.2 

43.3 

43.3 

43.4 

43.5 

43.6 

43.6 

43.7 

43.8 

43.9 

30 

43.9 

44.0 

44.1 

44.2 

44.2 

44.3 

44.4 

44.4 

44.5 

44.6 

31 

44.7 

.44.7 

44.8 

44.9 

44.9 

45.0 

45.1 

45.2 

45.2 

45.3 

32 

45.4 

45.4 

45.5 

45.6 

45.6 

45.7 

45.8 

45.9 

45.9 

46.0 

33 

46.1 

46.1 

46.2 

46.3 

46.3 

46.4 

46.5 

46.6 

46.6 

46.7 

34 

46.8 

46.8 

46.9 

47.0 

47.0 

47.1 

47.2 

47.2 

47.3 

47.4 

35 

47.4 

47.5 

47.6 

47.6 

47.7 

47.8 

47.9 

47.9 

48.0 

48.1 

36 

48.1 

48.2 

48.3 

48.3 

48.4 

48.5 

48.5 

48.6 

48.6 

48.7 

37 

48.8 

48.8 

48.9 

49.0 

49.1 

49.1 

49.2 

49.2 

49.3 

49.4 

38 

49.4 

49.5 

49.6 

49.6 

49.7 

49.8 

49.8 

49.9 

50.0 

50.0 

39 

50.1 

50.1 

50.2 

50.3 

50.3 

50.4 

50.5 

50.5 

50.6 

50.7 

40 

50.7 

50.8 

50.8 

50.9 

51.0 

51.0 

51.1 

51.2 

51.2 

51.3 

41 

51.4 

51.4 

51.5 

51.5 

51.6 

51.7 

51.7 

51.8 

51.9 

51.9 

42 

52.0 

52.0 

52.1 

52.2 

52.2 

52.3 

52.3 

52.4 

52.5 

52.5 

43 

52.6 

52.7 

52.7 

52.8 

52.8 

52.9 

53.0 

53.0 

53.1 

53.1 

44 

53.2 

53.3 

53.3 

53.4 

53.4 

53.5 

53.6 

53.6 

63.7 

53.7 

45 

53.8 

53.9 

53.9 

54.0 

54.0 

54.1 

54.2 

54.2 

54.3 

54..? 

46 

54.4 

54.5 

54.5 

54.6 

54.6 

54.7 

54.7 

54.8 

54.9 

54.9 

47 

55.0 

55.0 

55.1 

55.2 

55.2 

55.3 

55.3 

55.4 

55.5 

O.5..J- 

48 

55.6 

55.6 

55.7 

55.7 

55.8 

55.9 

55.9 

56.0 

56.0 

56.1 

49 

56.1 

56.2 

56.3 

56.3 

56.4 

56.4 

56.5 

56.5 

56.6 

50.  1 

6202°— 17 


114 


HYDRAULIC   AND   EXCAVATION    TABLES. 


Table    34.— Amount  of  material  in  cubic  yards  per  100  linear  feet 
of  level  cut, 

aide  slopes  1  to  1. 


Depth 

let-cut'      *° 

.1 

.3           .3 

.4 

.5 

.6 

.7 

.8           .9 

in  feet 

! 

fo.o 
3.7 

0.0 
4.5 

0.1 
5.3 

0.3 
6.3 

0.6 
7.3 

0.9 
8.3 

1.3 
9.5 

1.8 
10.7 

2.4          3.0 
12.0       13.4 

t         15 

16 

18 

20 

21 

23 

25 

27 

29 

31 

'•-  i 

33 

36 

38 

40 

43 

45 

48 

51 

54 

56 

4 

69 

62 

65 

68 

72 

75 

78 

82 

85 

89 

i 

93 

96 

100 

104 

108 

112 

116 

120 

125 

129 

• 

133 

138 

142 

147 

152 

156 

161 

166 

171 

176 

7 

181 

187 

192 

197 

203 

208 

214 

220 

225 

231 

8 

237 

243 

249 

255 

261 

268 

274 

280 

287 

293 

t 

300 

307 

313 

320 

327 

334 

341 

349 

356 

363 

10 

370 

378 

385 

393 

401 

408 

416 

424 

432 

440 

11 

448 

456 

465 

473 

481 

490 

498 

507 

516 

524 

18 

533 

542 

551 

560 

569 

579 

588 

597 

607 

616 

18 

626 

636 

645 

655 

665 

675 

685 

695 

705 

716 

14 

726 

736 

747 

757 

768 

779. 

789 

800 

811 

822 

15 

833 

844 

856 

867 

878 

890 

901 

913 

925 

936 

if 

948 

960 

972 

984 

996 

1,008 

1,021 

1,033 

1,045 

1.058 

17 

1,070 

1.083 

1,096 

1,108 

1,121 

1,134 

1,147 

1,160 

1,173    11,187 

18 

1,200 

1.213 

1,227 

1,240 

1.254 

1,268 

1.281 

1,295 

1,309 

1,323 

1» 

1,337 

1,351 

1,365 

1,380 

1,394 

1,408 

1,423 

1,437 

1,452 

1,467 

20 

1,481 

1,498 

1,511 

1,526 

1,541 

1,556 

1,572 

1,587 

1,602 

1.618 

31 

1.633 

1,649 

1,665 

1.680 

1,696 

1,712 

1,728 

1.744 

1,760 

1.776 

23 

1,793 

1,809 

1,825 

1,842 

1,858 

1,875 

1,892 

1,908 

1,925 

1,942 

33 

1,959 

1,976 

1,993 

2,011 

2,028 

2,045 

2,063 

2,080 

2.098 

2,116 

24 

2,133 

2,151 

2,169 

2,187 

2,205 

2,223 

2,241 

2,260 

2^278 

2,296 

25 

2,315 

2,333 

2,352 

2,371 

2,389 

2,408 

2.427 

2.446 

2,465 

2,484 

35 

2,504 

2,523 

2,543 

2,563 

2,581 

2.601 

2,621 

2,640     2,660 

2,680 

37 

2,700 

2.720 

2,740 

2,760 

2,781 

2.801 

2.821 

2.842 

2.862 

2,883 

38 

2,904 

2,924 

2,945 

2,966 

2,987 

3.008 

3,029 

3.051 

3.072 

3,093 

29 

3,115 

3,136 

3,153 

3,180 

3,201 

3,223 

3,245 

3,267 

3,289 

3,311 

30 

3,333 

3,356 

3,378 

3,400 

3.423 

3.445 

3.468 

3,491 

3,513 

3,536 

31 

3,559 

3.582 

3,605 

3,628 

3.652 

3.675 

3.698 

3,722 

3,745    '3.769 

32 

3,793 

3.816 

3.840 

3,864 

3.888 

3.912 

3.936 

3,960    [3.985    14,009 

33 

4,033 

4,058 

4.082 

4,107 

4,132 

4,156 

4,181 

4,206 

4,231    14.256 

34 

4,281 

4,307 

4,332 

4,357 

4,383 

4,408 

4,434 

4,460 

4,485 

4,511 

35 

4,537 

4.563 

4,589 

4.615 

4,641 

4.668 

4.694 

4,720 

4,747 

4.773 

36  !4.800 

4.827 

4,853 

4.880 

4,907 

4,934 

4,961 

4,988 

5,016 

5,043 

37  !  5,070 

5,098 

5,125 

5,153 

5,181 

5,208 

5,236 

5,264 

5.292    15,320 

38    5,348 

5,376 

5,405 

5.433 

5.461 

5,490 

5,518 

5.547 

5.5"6    15,604 

39 

5,633 

5,662 

5,691 

5,720 

5,749 

5,779 

5,808 

5,837 

5,867 

5,896 

40 

5,926 

5.956 

5,985 

6.015 

6,045 

6.075 

6.105 

6,135 

6,165 

6.196 

41    6,226 

6,256 

6,287 

6.317 

6,348 

6,379 

6,409 

6.440 

6,471 

6,502 

43  !  6,533 

6.564 

6,596 

6.627 

6,658 

6,690 

6.721 

6.763 

6,785 

6,816 

43  16,848 

6,880 

6,912 

6,944 

6,976 

7,008 

7.041 

7,073 

7,105 

7,138 

44  !7,170 

7,203 

7,236 

7,268 

7,301 

7,334 

7,367 

7,400 

7,433 

7,467 

HYDRAULIC    AND  EXCAVATION    TABLES. 


115 


Table   34. — Amount  of  material  in  cubic  yards  per  100  linear  feet 
of  level  cut, 

side  .slopes  1  to  1  —  Continued. 


Depth 

of  cen- 
ter cut 

.0 

.1 

.2 

.3 

.4 

.5 

.6 

.7 

.8 

.9 

in  feet 

45 

7,500 

7,533 

7,567 

7,600 

7,634 

7,668 

7.701 

7,735 

7,769 

7,803 

46 

7,837 

7,871 

7.905 

7,940 

7,974 

8.008 

8,043 

8,077 

8,112 

8,147 

47 

8,181 

8,216 

8,251 

8,286 

8,321 

8,356 

8,392 

8,427 

8,462 

8,498 

48 

8,533 

8,569 

8,605 

8,640 

8.676 

8,712 

8,748 

8,784 

8,820 

8,856 

49 

8,893 

8,929 

8,965 

9,002 

9,038 

9,075 

9,112 

9,148 

9,185 

9,222 

50 

9,259 

9,296 

9,333 

0,371 

9,408 

9,445 

9,483 

9,520 

9,558 

9,596 

51 

9,633 

9,671 

9.709 

9,747 

9,785 

9,823 

9,861 

9,900 

9,938 

9,976 

62 

10,015 

10.053 

10,092 

10,131 

10,169 

10,208 

10,247 

10,286 

10.325 

10,364 

53 

10,404 

10,443 

10,482 

10,522 

10,561 

10,601 

10,641 

10.680 

10,720 

10.760 

54 

10,800 

10,840 

10,880 

10,920 

10,961 

11,001 

11,041 

11,082 

11,122 

11,163 

55 

11,204 

11.244 

11,285 

11,326 

11,367 

11,408 

11,449 

11,491 

11,532 

11,573 

56 

11,615 

11,656 

11.698 

11,740 

11.781 

11,823 

11.865 

11.907 

11,949 

11,991 

57 

12.033 

12.076 

12,118 

12,160 

12,203 

12,245 

12,288 

12,331 

12,373 

12,416 

58 

12,459 

12.502 

12.545 

12,588 

12,632 

12,675 

12,718 

12.762 

12.805 

12,849 

59 

12.893 

12,936 

12,980 

13,024 

13,068 

13,112 

13,156 

13,200 

13,245 

13.289 

60 

13,333 

Table     35.— Amount  of  material  in  cubic  yards  per  10O  linear  feet 
of  level  cut, 

side  slopes  1%  to  1. 


Depth  of 

center 
cut  in 

.0 

.1 

J 

.* 

.4 

.5 

.6 

.7 

.8 

.9 

feet 

0 

0.0 

0.0 

0.2 

0.5 

0.9 

1.4 

2.0 

2.7 

3.6 

4.5 

1 

5.6 

6.7 

8.0 

9.4 

10.9 

12.5 

14.2 

16.1 

18.0 

20.1 

2 

22 

24 

27 

29 

32 

35 

38 

41 

44 

47 

3 

50 

53 

57 

60 

64 

68 

72 

76 

80 

84 

4 

89 

93 

98 

103 

108 

112 

118 

123 

128 

133 

5 

139 

144 

150 

156 

162 

168 

174 

180 

187 

193 

6 

200 

207 

214 

222 

228 

235 

242 

249 

257 

264 

7 

272 

280 

288 

296 

304 

312 

321 

329 

338 

347 

8 

356 

364 

374 

383 

392 

401 

411 

420 

43O 

440 

9 

450 

460 

470 

480 

491 

501 

512 

522 

533 

544 

10 

556 

567 

577 

589 

601 

612 

624 

636 

648 

660 

11 

672 

684 

697 

709 

722 

735 

748 

760 

774 

787 

12 

800 

813 

827 

840 

854 

868 

882 

896 

910 

924 

13 

939 

953 

968 

983 

998 

1,012 

1,028 

1.043 

1,058 

1,073 

14  1,089 

1,104 

1,120 

1,136 

1,152 

1,168 

1,184 

1,200 

1,217 

1,233 

116  HYDRAULIC   AND   EXCAVATION    TABLES. 

Table     35.— Amount  of  material  in  cubic  yards  per  100  linear  feet 
of  level  cut, 

side  slopes  \l/2  to    1 — Continued. 


Depth 
of  cen- 
ter cut 
in  feet 

.0 

.1 

.2 

.3 

.4 

.5 

.6 

.7 

.8 

.9 

15 

1,250 

1,267 

1,284 

1,300 

1,318 

1,335 

1,352 

1,369 

1,387 

1,404 

16 

1,422 

1,440 

1,458 

1,476 

1,494 

1,512 

1,531 

1,549 

1,568 

1.5  87 

17 

1,606 

1,624 

1,644 

1,663 

1,682 

1,701 

1,721 

1,740 

1,760 

1,780 

18 

1,800 

1,820 

1,840 

1,860 

1,881 

1,901 

1,922 

1,943 

1,964 

1,984 

19 

2,006 

2,027 

2,048 

2,069 

2,091 

2,112 

2,134 

2,156 

2,178 

2,200 

20 

2,222 

2,244 

2,267 

2,289 

2,311 

2,335 

2,358 

2,380 

2,404 

2,427 

21 

2,450 

2,473 

2,497 

2,520 

2,544 

2,568 

2,592 

2,616 

2,640 

2,064 

22 

2,689 

2.713 

2,738 

2,763 

2,788 

2,812 

2.838 

2,863 

2,888 

2.913 

23 

2,939 

2,964 

2,990 

3,016 

3,042 

3,068 

3,094 

3,120 

3,147 

3,173 

24 

3,200 

3,227 

3,254 

3,280 

3,308 

3,335 

3,362 

3,389 

3,417 

3,4-14 

25 

3,472 

3,500 

3,528 

3,556 

3,584 

3,612 

3,641 

3,669 

3,698 

3,727 

26 

3,756 

3,784 

3,814 

3,843 

3,872 

3,901 

3,931 

3,960 

3,990 

4,020 

27 

4,050 

4,080 

4,110 

4,140 

4,171 

4,201 

4,232 

4,263 

4,294 

4,324 

28 

4,356 

4,387 

4,418 

4,449 

4,481 

4,512 

4,544 

4,576 

4,608 

4,640 

29 

4,672 

4,704 

4,737 

4,769 

4,802 

4,835 

4,868 

4,900 

4,934 

4,967 

30 

5,000 

5,033 

5,067 

5,100 

5,134 

5,168 

5,202 

5,236 

5,270 

5,304 

31 

5,339 

5,373 

5,408 

5,443 

5,478 

5,512 

5,548 

5,583 

5,618 

5,653 

32 

5,689 

5,724 

5,760 

5,796 

5,832 

5,868 

5,904 

5,940 

5,977 

6,013 

33 

6,050 

6,087 

6,124 

6,160 

6,198 

6,235 

6,272 

6,309 

6,347 

6,?S4 

34 

6,422 

6,460 

6,498 

6,536 

6,574 

6,612 

6,651 

6,689 

6,728 

6,767 

35 

6,806 

6,844 

6,884 

6,923 

6,962 

7,001 

7,041 

7,080 

7,120 

7.160 

36 

7,200 

7,240 

7,280 

7,320 

7,361 

7,401 

7,442 

7,483 

7,524 

7,564 

37 

7,606 

7,647 

7,688 

7,729 

7,771 

7,812 

7,854 

7,896 

7,938 

7,980 

38 

8,022 

8,064 

8,107 

8,149 

8,192 

8,235 

8,278 

8,320 

8,364 

8,107 

39 

8,450 

8,493 

8,537 

8,580 

8,624 

8,668 

8,712 

8,756 

8,800 

8,844 

40 

8.889 

8,933 

8,978 

9,023 

9,068 

9,112 

9,158 

9,203 

9,248 

9,293 

41 

9339 

9384 

9.430 

9,476 

9,522 

9,568 

9,614 

9,660 

9,707 

9,753 

42 

9.800 

98*7 

9894 

9.940 

9.988 

10.035 

10,082 

10,129 

10,177 

10,224 

43 

10,272 

10320 

10368 

10.416 

10.464 

10,512 

10.561 

10,609 

10,658 

10,707 

44 

10,756 

10,804 

10,854 

10,903 

10,952 

11,001 

11,051 

11,100 

11,150 

11,200 

45 

11,250 

11,300 

11.350 

11,400 

11,451 

11,501 

11,552 

11,603 

11,654 

11,704 

46 

11,756 

11,807 

11,858 

11909 

11.961 

12,012 

12,064 

12,116 

12,168 

12,220 

47 

12.272 

12,324 

12.377 

12.429 

12,482 

12,535 

12,588 

12,640 

12,694 

12,747 

48 

12,800 

12.853 

12,907 

12960 

13,014 

13,068 

13,122 

13,176 

13,230 

13,284 

49 

13,339 

13,393 

13,448 

13,503 

13,558 

13,612 

13,668 

13,723 

13,778 

13,833 

50 

13,889 

13.944 

14.000 

14,056 

14,112 

14,168 

14,224 

14,280 

14,337 

14,392 

51 

14,450 

14.507 

14564 

14.620 

14,678 

14,735 

14,792 

14,849 

14,987 

14,964 

52 

15,022 

15,080 

15  138 

15.196 

15,254 

15,312 

15,371 

15,430 

15,489 

15,548 

53 

15,606 

15,664 

15724 

15.783 

15,842 

15,901 

15,961 

16,020 

16,080 

16,140 

54 

16,200 

16,260 

16,320 

16,380 

16,441 

16,501 

16,562 

16,623 

16,684 

16,744 

55 

16.806 

16,867 

16,928 

16.989 

17,051 

17,112 

17,174 

17,236 

17,298 

17,360 

56 

17.422 

17,484 

17,547 

17,609 

17,672 

17,735 

17,798 

17,860 

17.024. 

17,987 

57 

18.050 

18,113 

18,177 

18,240 

18,304 

18,368 

18,432 

18,496 

18,560 

18.624 

58 

18.689   18.753 

18,818 

18,883 

18,948 

19,012 

19,078 

19,143   19,208 

19,273 

59 

19,339 

19,404 

19,470 

19,536 

19,602 

19,668 

19,734 

19,800  i  19,867 

19.933 

60 

20,000 

HYDRAULIC    AND   EXCAVATION    TABLES. 


117 


Table    36. — Amount  of  material  in  cubic  yards  per  100  linear  feet 
of  level  cut, 

side  slopes  2  to  1. 


Depth 
of  cen- 
ter cut 
in  feet 

.0 

.1 

.2 

.3 

.4 

.5 

.6 

.7 

.8 

.9 

0 

0.0 

0.1 

0.3 

0.7 

1.2 

1.9 

2.7 

3.6 

4.7 

6.0 

1 

7.4 

9.0 

10.7 

12.5 

14.5 

16.7 

19.0 

21.4 

24.0 

26.7 

2 

30 

33 

36 

39 

43 

46 

50 

54 

58 

62 

3 

67 

71 

76 

81 

86 

91 

96 

101 

107 

113 

4 

119 

125 

131 

137 

143 

150 

157 

164 

171 

178 

5 

185 

193 

200 

208 

216 

224 

232 

241 

249 

258 

6 

267 

276 

285 

294 

303 

313 

323 

333 

343 

353 

7 

363 

373 

384 

395 

406 

417 

428 

439 

451 

462 

8 

474 

486 

498 

510 

523 

535 

548 

561 

574 

587 

9 

600 

613 

627 

641 

655 

669 

683 

697 

711 

726 

10 

741 

756 

771 

786 

801 

817 

832 

848 

864 

880 

11 

896 

913 

929 

946 

963 

980 

997 

1,014 

1,031 

1,049 

12 

1,067 

1,084 

1,103 

1,121 

1,139 

1,157 

1,176 

1,195 

1,214 

1,233 

13 

1,252 

1,271 

1,291 

1,310 

1,330 

1,350 

1,370 

1,390 

1,411 

1,431 

14 

1,452 

1,473 

1,494 

1,515 

1,536 

1,557 

1,579 

1,601 

1,623 

1,645 

15 

1,667 

1,689 

1,711 

1,734 

1,757 

1.780 

1,803 

1,826 

1,849 

1,873 

16 

1,896 

1,920 

1,944 

1,968 

1,992 

2,017 

2,041 

•  2,066 

2,091 

2,116 

17 

2,141 

2,166 

2,191 

2,217 

2,243 

2,269 

2,295 

2,321 

2,347 

2,373 

18 

2,400 

2,427 

2,454 

2,481 

2,508 

2,535 

2,563 

2,590 

2.618 

2,646 

19 

2,674 

2,702 

2,731 

2,759 

2,788 

2,817 

2,846 

2,875 

2,904 

2,938 

20 

2,963 

2,993 

3,023 

3,053 

3,083 

3,113 

3,143 

3,174 

3,205 

3,236 

21 

3,267 

3,298 

3,329 

3,361 

3,392 

3,424 

3,456 

3,488 

3,520 

3,553 

22 

3,585 

3,618 

3,651 

3,684 

3,717 

3,750 

3,783 

3,817 

3,851 

3,885 

23 

3,919 

3,953 

3,987 

4,021 

4,056 

4,091 

4,126 

4,161 

4,106 

4,231 

3* 

4,267 

4,302 

4,338 

4,374 

4,410 

4,446 

4,483 

4,519 

4,556 

4,593 

25 

4,630 

4,667 

4,704 

4,741 

4,779 

4,817 

4,855 

4,893 

4,931 

4,969 

26 

5,007 

5,046 

5,085 

5,124 

5,163 

5,202 

5,241 

5,281 

5,320 

5,360 

27 

5,400 

5,440 

5.480 

5,521 

5,561 

5,602 

5,643 

5,684 

5.725 

5,766 

28 

5,807 

5,849 

5.891 

5,933 

5,975 

6,017 

6,059 

6,101 

6,144 

6,187 

29 

6,230 

6,273 

6,316 

6,359 

6,403 

6,446 

6,490 

6,534 

6,578 

6,622 

30 

6,667 

6,711 

6,756 

6,801 

6,846 

6,891 

6,936 

6.981 

7,027 

7,073 

31 

7,119 

7.165 

7,211 

7,257 

7,303 

7,350 

7,397 

7,444 

7,491 

7,538 

33 

7.585 

7.633 

7.680 

7,728 

7,776 

7,824 

7,872 

7,921 

7,969 

8,018 

33 

8,067 

8,116 

8,165 

8,214 

8,263 

8,313 

8,363 

8,413 

8,463 

8,513 

34 

8,563 

8,613 

8,664 

8,715 

8,766 

8,817 

8,868 

8,919 

8,971 

9,022 

35 

9,074 

9,126 

9,178 

9,230 

9,283 

9,335 

9,388 

9,441 

9,494 

9,547 

36 

9,600 

9,653 

9.707 

9,761 

9,815 

9,869 

9,923 

9,977 

10031 

10086 

37 

10,141 

10.196 

10.251 

10.306 

10,361 

10,417 

10,472 

10,528 

10.584   10.640 

38 

10,696 

10,753 

10.809 

10,866 

10,923 

10,980 

11,037 

11,094 

11,151  ill,209 

39 

11,267 

11,325 

11,383 

11,441 

11,499 

11,557 

11,616 

11,675 

11,734 

11,793 

40 

11,852 

11,911 

11,971 

12,030 

12,090 

12,150 

12,210 

12.270 

12.331 

12,391 

41 

12,452 

12,513 

12,574 

12,635 

12,696 

12,757 

12,819 

12881 

12.943   13,005 

42 

13,067 

13,129 

13.191 

13,254 

13,317 

13,380 

13,443  113,506 

13,569  ;  13,633 

43 

13,696 

13,760 

13,824 

13,888 

13,952 

14,017 

14,081    14,146 

14,211  i  14,276 

44 

14,341 

14,406 

14,471 

14,537 

14,603 

14,669 

14,735  114,801 

14,867  '14,933 

118 


HYDRAULIC   AND   EXCAVATION    TABLES. 


Table    36. — Amount  of  material  in  cubic  yards  per  100  linear  feet 
of  level  cut, 

side  slopes  2  to  1  —  Continued. 


Depth 
of  cen- 
ter cut 
in  feet 

.0 

.1 

.3 

.3 

.4 

.5 

.6 

.7 

.8 

.9 

45 

15,000 

15,067 

15,134 

15,201 

15,268 

15,335 

15,403 

15,470 

15.538 

15,606 

46 

15,674 

15,742 

15,811 

15,879 

15,918 

16,017 

16,086 

16,155 

16,224 

16,293 

47 

16,363 

16,433 

16,503 

16,573 

16,643 

16,713 

16.783 

16,854 

16,925 

16,996 

48 

17,067 

17,138 

17,209 

17,281 

17,352 

17,424 

17,496 

17,568 

17,640 

17,713 

49 

17,785 

17,858 

17,931 

18,004 

18,077 

18,150 

18,223 

18,297 

18,371 

18,445 

50 

18,519 

18,593 

18,667 

18,741 

18.816 

18,891 

18,966 

19,041 

1<U16 

19,191 

51 

19,267 

19,342 

19,418 

19,494 

19,570 

19,646 

19,723 

19,799 

19,876 

19,953 

53 

20,030 

20,107 

20,184 

20,261 

20,339 

20,417 

20,495 

20,573 

20,651 

20,729 

53 

20,807 

20,886 

20,965 

21,044 

21.123 

21,202 

21,281 

21,361 

21,440 

21,520 

54 

21,600 

21,680 

21,760 

21,841 

21.921 

22,002 

22,083 

22,164 

22,245 

22,326 

55 

22,407 

22,489 

22,571 

22,653 

22,735 

22,817 

22,899 

22.981 

23.064 

23,147 

56 

23,230 

23,313 

23,396 

23,479 

23,563 

23,646 

23,730 

23,814 

23,898 

23,982 

57 

24,067 

24,151 

24,236 

24,321 

24,406 

24,491 

24,576 

24,661 

24,747 

24.833 

58 

24,919 

25,005 

25,091 

25,177 

25,263 

25,350 

25,447 

25,524 

25,611 

25.698 

59 

25,785 

25,873 

25,960 

26,048 

26,136 

26,224 

26,312 

26,401 

26,489 

26,578 

60 

26,667 

Table    37.— Amount  of  material  in  cubic  yards  per  100  linear  feet 
of  level  cut, 

side  slopes  3  to  1. 


Depth  of 

center 
cut  in 

.0 

.1 

.3 

.3 

.4 

.5 

.6 

.7 

.8 

.9 

feet 

• 

0.0 

0.1 

0.4 

1.0 

1.8 

2.8 

4.0 

5.4 

7.1 

9.0 

1 

11.1 

13.4 

16.0 

18.8 

21.8 

25.0 

28.4 

32.2 

36.1 

40.1 

2 

44 

49 

54 

59 

64 

69 

75 

81 

87 

93 

3 

100 

106 

114 

121 

128 

136 

144 

152 

160 

168 

4 

178 

187 

196 

205 

215 

225 

235 

245 

256 

267 

5 

278 

289 

300 

312 

324 

336 

348 

361 

373 

387 

e 

400 

413 

427 

441 

455 

469 

484 

499 

514 

529 

7 

544 

560 

576 

592 

608 

625 

642 

659 

676 

693 

8 

711 

729 

747 

765 

784 

803 

822 

811 

860  !  880 

9 

900 

920 

940 

961 

982 

1,003 

1,024 

1,045 

1,067 

1,089 

10 

1.111 

1,133 

1,156 

1,179 

1,202 

1,225 

1,248 

1,272 

1,296 

1,320 

11 

1,344 

1,369 

1,394 

1,419 

1,444 

1,469 

1,495 

1,521 

1,547 

1,573 

13 

1,600 

1,627 

1,6.54 

1,681 

1,708 

1.736 

1,764 

1,792 

1,820 

1,849 

13 

1,878 

1,907 

1,936 

1,965 

1,995 

2,025 

2,055 

2,085 

2,116 

2,147 

14 

2,178 

2,209 

2,240 

2,272 

2,304 

2,336  12,368 

2,401  12,434  2,467 

HYDRAULIC    AND   EXCAVATION    TABLES. 


119 


Table    37. — Amount  of  material  in  cubic  yards  per  100  linear  feet 
of  level  cut, 

side  slopes  3  to  1  —  Continued. 


Depth 

of  cen- 

.0 

.1 

.* 

.3 

.4 

.5 

.6 

.7 

.8 

.9 

ter  cut 

in  feet 

15 

2,500 

2,533 

2,567 

2,601 

2,635 

2,669 

2,704 

2,739 

2,774 

2,809 

16 

2,844 

2,880 

2,916 

2,952 

2,988 

3,025 

3.062 

3,099 

3,136 

3,173 

17 

3.211 

3,249 

3.287 

3,325 

3,364 

3,403 

3,442 

8,481 

3.520 

3,560 

18 

3,600 

3,640 

3,680 

3,721 

3,762 

3,803 

3,844 

3,885 

3.927 

3,969 

19 

4,011 

4,053 

4,096 

4,139 

4,182 

4,225 

4,268 

4,312 

4,356 

4,400 

20 

4,444 

4,489 

4,534 

4,579 

4,624 

4,669 

4,715 

4,761 

4,807 

4,853 

21 

4,900 

4,947 

4,994 

6,041 

5,088 

6,137 

5,184 

6,232 

5,280 

5,329 

22 

6,378 

5,427 

6.476 

6,525 

5,575 

5,625 

5,675 

6,725 

5,776 

5,827 

23 

6.878 

6,929 

6,980 

6,032 

6,084 

6,136 

6,188 

6,2*0 

6,264 

6,346 

24 

6,400 

6,453 

6,507 

6,561 

6,615 

6,669 

6,724 

6,779 

6,634 

6,889 

25 

6,944 

7,000 

7,056 

7,112 

7,168 

7,225 

7,282 

7,339 

7396 

7,453 

28 

7,511 

7,569 

7,627 

7,685 

7,744 

7,803 

7,862 

7,921 

7980 

8,040 

27 

8,100 

8,160 

8,220 

8,281 

8,342 

8,403 

8,464 

8,525 

8587 

8,64't 

23 

8.711 

8,773 

8,836 

8,899 

8,962 

9,025 

9,088 

9,152 

9,216 

9,280 

29 

9,344 

9,409 

9,474 

9,539 

9,604 

9,669 

9,735 

9,801 

9,867 

9,993 

30 

10.000 

10,067 

10,134 

10,201 

10,268 

10,336 

10,404 

10,472 

10,540 

10,609 

31 

10,678 

10,747 

10,816 

10,885 

10,955 

11,026 

11,095 

11,165 

11,236 

11,307 

32 

11,378 

11,449 

11,520 

11,592 

11,664 

11,736 

11,808 

11,881 

11,954 

12,027 

33 

12,100 

12,173 

12,247 

12,321 

12,395 

12,469 

12,544 

12,619 

12.694 

12,769 

31 

12,844 

12,920 

12,996 

13,072 

13,148 

13,225 

13,302 

13,379 

13,456 

13,533 

35 

13,611 

13,689 

13,767 

13,845 

13,924 

14,003 

14,082 

14,161 

14,240 

14,320 

36 

14,400 

14,480 

14,560 

14,641 

14,722 

14,803 

14,884 

14,965 

15,047 

15,129 

37 

15,211 

15,293 

15,376 

15,459 

15,542 

15,625 

15,708 

15,792 

15,876 

15,9(i(» 

33 

16,044 

16,129 

16,214 

16,299 

16,384 

16,469 

16,555 

16,641 

16,727 

16,813 

39 

16,900 

16,987 

17,074 

17,161 

17,248 

17,336 

17,424 

17,512 

17,600 

17,681> 

40 

17,778 

17,867 

17,956 

18,045 

18,135 

18,225 

18,315 

18,405 

18.496 

18,587 

41 

18,678 

18,769 

18,860 

18,952 

19,044 

19,136 

19,228 

19,321   19.414 

19,507 

42 

19,600 

19,693 

19,787 

19,881 

19.975 

20,069 

20,164 

20,259  !20,354 

20,44!) 

43 

20,544 

20,640 

20,736 

20,832 

20,928 

21,025 

21,122 

21,219  i21,316 

21,413 

44 

21,511 

21,609 

21,707 

21,805 

21,904 

22,003 

22,102 

22,201 

22,300 

22,400 

45 

22.500 

22,600 

22,700 

22,801 

22,902 

23,003 

23,104 

23,205 

23,307 

23,409 

46 

23,511 

23.613 

23,716 

23,819 

23,922 

24,025 

24,128 

24,232 

24,336 

24,440 

47 

24,544 

24.649 

24,754 

24,859 

24,964 

25,069 

25,175 

2.5,281 

25,387 

25,49;; 

43 

25,600 

25,707 

25,814 

25,921 

26,029 

26,136 

26,244 

26,352 

26,460 

26,569 

49 

26,678 

26,787 

26,896 

27,005 

27,115 

27,226 

27,335 

27,445 

27,556 

27,667 

50 

27,778 

27,889 

28,000 

28,112 

28,224 

28,336 

28,448 

28,561 

28,674 

28,787 

51 

28,900  29,013 

29,127 

29.241 

29,355 

29,469 

29,584 

29,699 

29,814 

29,92*) 

52 

30,044  ,30,160 

30,276 

30.  »92 

30,508 

30.625 

30,742 

30,859 

30,976 

31,003 

53 

31,211  >31,329 

31,447 

31,<fc>5 

31,684 

31,803 

31,922 

32,041  '32,160 

32,280 

54 

32,400 

32,520 

32,640 

32,761 

32,882 

33,003 

33,124 

33,245  ,33,367 

33,48!) 

55 

33,611 

33,733 

33,856 

33,979 

34,102 

34,225 

34,348 

34,472  '34,596 

34,720 

5% 

34,844 

34,969 

35,094 

35,219 

35,344 

35,459 

35,595 

35,721  35,847 

36,973 

£7 

36,100 

36,227 

36,354 

36,481 

36,608 

36,736 

36,864 

36.P92  37,120 

37,249 

53 

37,378 

37,507 

37,636 

37,765 

37,896 

38,025 

38,155 

38,285  138.416 

38,547 

59 

38,678 

38,809 

38,940 

39,072 

39,204 

39,336 

39,468 

39,601  39,734 

39,867 

69 

40,000 

1  

120 


HYDRAULIC    AND   EXCAVATION    TABLES. 


Table    38. — Amount  of  material  in  cubic  yards  per  100  linear  feet 
of  cut  on  sloping  ground^ 

side  slopes   1  to   1. 


Depth 

Surface  elope  of  ground  in  per  cent 

f 
of  cen- 

ter cut 

I 

in  feet 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55 

60 

1  A 

l.U 

1.5 

8 

8 

9 

9 

9 

9 

10 

10 

11 

12 

( 
13 

2.0 

15 

15 

16 

16 

16 

17 

18 

19 

20 

21 

23 

2.5 

23 

24 

24 

25 

25 

27 

27 

29 

31 

33 

3fi 

3.0 

33 

33 

34 

35 

36 

38 

39 

42 

44 

47 

52 

3.5 

46 

46 

47 

48 

49 

51 

54 

57 

60 

65 

7C 

4.0 

59 

60 

61 

63 

65 

67 

70 

74 

79 

85 

92 

4.5 

76 

77 

78 

80 

83 

85 

89 

94 

100 

107 

117 

5.0 

94 

95 

97 

99 

102 

106 

111 

117 

124 

133 

14.1] 

5.5 

113 

114 

117 

120 

123 

128 

133 

141 

149 

161 

n  L 

6.0 

134 

136 

139 

142 

146 

152 

158 

167 

177 

191 

208 

6.5 

157 

160 

163 

166 

172 

178 

186 

196 

208 

224 

244 

7.0 

183 

185 

189 

193 

199 

206 

215 

227 

242 

260 

283 

7.5 

210 

212 

217 

222 

229 

237 

248 

261 

278 

299 

32£ 

8.0 

239 

242 

247 

253 

261 

270 

282 

297 

316 

340 

37C 

8.5 

270 

274 

279 

286 

295 

305 

319 

336 

357 

384 

41S 

9.0 

303 

307 

312 

320 

330 

342 

357 

376 

400 

430 

46? 

9.5 

338 

342 

348 

356 

367 

381 

398 

419 

446 

479 

522 

10.0 

374 

378 

385 

395 

406 

422 

441 

464 

494 

531 

57* 

10.5 

412 

417 

425 

436 

448 

465 

486 

512 

545 

585 

637 

11.0 

453 

458 

467 

478 

492 

510 

533 

562 

598 

642 

70C 

11.5 

495 

501 

510 

523 

538 

558 

583 

615 

653 

702 

76£ 

13.0 

539 

545 

555 

569 

586 

607 

634 

669 

711 

764 

833 

12.5 

585 

592 

603 

618 

637 

659 

689 

726 

772 

830 

904 

13.0 

632 

640 

652 

668 

689 

713 

745 

785 

835 

897 

97S 

13.5 

681 

691 

703 

720 

743 

769 

803 

847 

900 

967 

1,054 

14.0 

733 

743 

•756 

774 

799 

827 

864 

911 

968 

1,040 

1,134 

14.5 

787 

797 

811 

831 

857 

887 

927 

977 

1,039 

1,116 

l,21f 

15.0 

841 

852 

868 

888 

916 

949 

994 

1,045 

1,111 

1,194 

1,301 

15.5 

898 

910 

927 

949 

978 

1,014 

1,059 

1,116 

1,187 

1,276 

1.39C 

16.0 

957 

970 

987 

1,011 

1,042 

1,080 

1.128 

1,189 

1,264 

1,359 

1.48C 

16.5 

1,018 

1,031 

1,050 

1.075 

1,108 

1,148 

1,199 

1,265 

1,344 

1,445 

1,573 

17.0 

1,080 

1,095 

1,115  1.141 

1,176 

1,219 

1.273 

1,343 

1.427 

1,534 

1,66£ 

17.5 

1,145 

1,160 

1,182 

1,209 

1,246 

1,292 

1.349 

1,423 

1,512 

1,626 

1.77C 

18.0 

1,212 

1,227 

1,250 

1,280 

1,319 

1,368 

1,428 

1,506 

1,600 

1.720 

1,874 

18.5 

1,281 

1,297 

1.321 

1,353 

1,394 

1,445 

1,509 

1,591 

1,691 

1,817 

l,9Sf 

19.0 

1,351 

1,368 

1,393 

1,426 

1,470 

1,523 

1,591 

1,678 

1,783 

1,916 

2,088 

19.5 

1,422 

1,440 

1,467 

1,502 

1,548 

1.604 

i.e^e 

1,767 

1,878 

2,018 

2,199 

20.0 

1,496 

1,515 

1,542 

1,580 

1,628 

1,687 

1,763 

1,859  1,975 

2,123 

2,313 

20.5 

1,572 

1,592 

1,620 

1,660 

1,710 

1,773 

1,852 

1,953 

2,075 

2,230 

2,430 

21.0 

1,649 

1,670 

1,701 

1,742 

1,795 

1,861 

1,943 

2,049 

2,178 

2,340 

2,550 

21.5 

1,729 

1,751 

1,783 

1,826 

1,882 

1,951 

2,037 

2,148  2,283 

2,453 

2,673 

22.0 

1,811 

1,834 

1,868 

1,913 

1.971 

2,043 

2,134 

2,250  2,391 

2.569 

2,800 

2?.5 

1,894 

1,918 

1.953 

2,001 

2,061 

2,136 

2,231 

2,353  2,501 

2,687 

2,928 

23.0 

1,979 

2,004  2,041 

2,090 

2.153  2,232 

2,331 

2,458  ,2,613 

2,808 

3,059 

HYDRAULIC   AND   EXCAVATION    TABLES. 


121 


Table     38. — Amount  of  material  in  cubic  yards  per  100  linear  feet 
of  cut  on  sloping  ground, 

side  slopes  1  to  1  —  Continued. 


Depth 
of  cen- 
ter cut 
in  feet 

Surface  elope  of  ground  in  per  cent 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55 

60 

23.5 

2,065 

2,091 

2,130 

2,181 

2,247 

2,330 

2,434 

2,566 

2,728 

2.931 

3,194 

34.0 

2.154 

2,181 

2,221 

2,275 

2,344 

2,430 

2,539 

2,677 

2,845 

3,057 

3,331 

24.5 

2,245 

2,274 

2,315 

2,371 

2,443 

2,533 

2,646 

2,790 

2,965 

3,186 

3,472 

25.0 

2,338 

2,368 

2,411 

2,469 

2,545 

2,637 

2,755 

2,905 

3,088 

3,318 

3,615 

25.5 

2,432 

2,463 

2,508 

2,568 

2,647 

2,743 

2,866 

3,022 

3,212 

3,451 

3,761 

26.0 

2,529 

2,561 

2,608 

2,670 

2,752 

2,852 

2,980 

3,142 

3,340 

3,588 

3,910 

26.5 

2,627 

2,661 

2,709 

2,774 

2,859 

2,963 

3,095 

3,264 

3,469 

3727 

4,062 

27.0 

2,727 

2,762 

2,813 

2,880 

2,968 

3,076 

3,212 

3,388 

3,601 

3,869 

4,217 

27.5 

2,829 

2,865 

2,918 

2,988 

3,079 

3,191 

3,332 

3,515 

3,736 

4,014 

4,374 

28.0 

2,932 

2,970 

3,024 

3,097 

3,191 

3,308 

3,454 

3,643 

3,872 

4,161 

4,534 

28.5 

3,038 

3,077 

3,133 

3.208 

3,306 

3,427 

3,579 

3,775 

4,012 

4,311 

4,698 

29.0 

3,146 

3,187 

3,245 

3,322 

3,423 

3,548 

3,706 

3,909 

4,154 

4,464 

4,864 

?9.5 

3,255 

3,297 

3,357 

3,438 

3,542 

3,671 

3,835 

4,045 

4,298 

4,619 

5,033 

30.0 

3,367 

3,409 

3,471 

3,555 

3,663 

3,797 

3,967 

4,183 

4,445 

4,777 

5,205 

30.5 

3,480 

3,524 

3,588 

3,675 

3,786 

3,924 

4,100 

4,323 

4,595 

4,937 

5,380 

31.0 

3,595 

3,641 

3,707 

3,796 

3,911 

4,054 

4,236 

4,466 

4,747 

5,100 

5,558 

31.5 

3,712 

3,759 

3,828 

3,920 

4,039 

4,187 

4,374 

4,612 

4,901 

5,266 

5,739 

33.0 

3,831 

3,880 

3,951 

4,046 

4,169 

4,322 

4,514 

4,760 

5,058 

5,435 

5,923 

i«.5 

3,952 

4,002 

4,075 

4,173 

4,300 

4,457 

4,656 

4,909 

5,217 

5,606 

6,109 

33.0 

4,074 

4,126 

4,201 

4,302 

4,433 

4,595 

4,800 

5,061 

5,379 

5,780 

6,298 

33.5 

4,198 

4,252 

4,329 

4,433 

4,568 

4.735 

4,946 

5,215 

5,543 

5,956 

6,491 

34.0 

4,324 

4,379 

4,459 

4,566 

4,705 

4,877 

5,095 

5,372 

5,710 

6,135 

6,686 

34.5 

4,452 

4,509 

4,592 

4,702 

4,845 

5,022 

5,246 

5,531 

5,879 

6,317 

6,884 

35.0 

4,583 

4,641 

4,726 

4,839 

4,987 

5,169 

5,399 

5,693 

6,051 

6,502 

7,085 

35.5 

4,714 

4,774 

4,861 

4,978 

5,130 

5,317 

5,555 

5,856 

6,225 

6,689 

7,288 

?6.0 

4,848 

4,910 

5,000 

5,120 

5,276 

5,469 

5,712 

6,023 

6,402 

6,879 

7,496 

36.5 

4,984 

5,048 

5,140 

5,263 

5.423 

5,621 

5,872 

6,191 

6,581 

7,071 

7,705 

37.0 

5,122 

5,187 

5,282 

5,408 

5,573 

5,776 

6,034 

6,362 

6,762 

7,266 

7,918 

37.5 

5,261 

5,328 

5,426 

5,555 

5,725 

5,933 

6,198 

6,535 

6,946 

7,464 

8,132 

33.0 

5,402 

5,471 

5,571 

5,705 

5,879 

6,093 

6,365 

6,711 

7,133 

7,665 

8,353 

3S.5 

5,545 

5,615 

5,718 

5,855 

6,033 

6,254 

6,532 

6,888 

7,321 

7,867 

8,572 

39.0 

5,690 

5,763 

5,868 

6,008 

6,191 

6,418 

6,703 

7,069 

7,513 

8,073 

8,797 

39.5 

5,837 

5,912 

6,020 

6,164 

6,351 

6,584 

6.877 

7,252 

7,707 

8,282 

9,024 

40.0 

5,986 

6,062 

6,173 

6,321 

6,513 

6,752 

7,052 

7,436 

7,903 

8,493 

9,254 

40.5 

6,137 

6,215 

6,328 

6,480 

6,677 

6,921 

7,230 

7,623 

8,102 

8,706 

9,487 

41.0 

6,289 

6,369 

6,485 

6,641 

6,843 

7,093 

7,410 

7,813 

8,304 

8,922 

9,722 

41.5 

6,442 

6,524 

6,644 

6,803 

7,011 

7,266 

7,591 

8,004 

8,507 

9,140 

9,961 

12.0 

6,599 

6,683 

6,806 

6,969 

7,181 

7,443 

7,775 

8.1C8 

8,713 

9,362 

10,203 

42.5 

6,758 

6,844 

6,969 

7,136 

7,353 

7,622 

7,962 

8,395 

8,922 

9,587 

10,447 

43.0 

6,917 

7,006 

7,134 

7,305 

7,527 

7,802 

8,150 

8,593 

9,133 

9,814 

10,694 

43.5 

7,079 

7.170 

7,300 

7,476 

7,703 

7,984 

8,341 

8,794 

9,347 

10,043 

10,944 

44.0 

7,243    7,335 

7,469 

7,648 

7,880 

8,169 

8,533 

8,997 

9,563  10,175 

11,197 

122 


HYDRAULIC    AND   EXCAVATION    TABLES. 


Table    39. — Amount  of  material  in  'cubic  yards  per  10O  linear  feet 
of  cut  on  sloping  ground, 

side  slopes  \y%  to  1. 


Depth 

Surface  slope  of  ground  in  per  cent 

of  cen- 
ter cut 
in  feet 

10 

15 

30 

3ft 

30 

35 

40 

45 

50 

55 

60 

0.5 

1 

1 

1 

1 

1 

1 

1 

2 

2 

2 

6 

1.0 

6 

6 

7 

7 

7 

8 

9 

11 

13 

18 

29 

1.5 

12 

13 

13 

14 

15 

17 

19 

22 

28 

39  |    65 

3.0 

23 

23 

24 

26 

28 

31 

34 

41 

51 

70  i   117 

3.5 

36 

37 

38 

41 

44 

48 

55 

64 

80 

109 

183 

3.0 

51 

53 

55 

58 

63 

69 

78 

92 

114 

157 

263 

3.5 

70 

72 

75 

79 

85 

94 

106 

125 

155 

213 

357 

4.0 

91 

94 

98 

104 

112 

123 

139 

163 

203 

278 

467 

4.5 

113 

118 

124 

132 

141 

155 

176 

206 

257 

352 

590 

5.0 

142 

146 

153 

162 

174 

192 

217 

255 

318 

435 

730 

5.5 

172 

177 

185 

195 

211 

232 

262 

309 

384 

626 

882 

6.0 

205 

211 

220 

233 

251 

276 

312 

368 

457 

624 

1,051 

6.5 

240 

248 

258 

273 

295 

324 

367 

431 

537 

735 

1,233 

7.0 

278 

287 

299 

317 

341 

375 

425 

500 

622 

852 

1,430 

7.5 

319 

329 

343 

363 

391 

430 

483 

674 

714 

978 

1,641 

8.0 

364 

375 

391 

414 

446 

491 

556 

654 

813 

1,113 

1,870 

8.5 

411 

423 

441 

467 

503 

555 

627 

738 

918 

1.257 

2,107 

9.0 

460 

474 

495 

524 

564 

622 

703 

827 

1,029 

1,409 

2,364 

9.5 

513 

528 

552 

583 

628 

691 

783 

922 

1,146 

1.569 

2.633 

10.0 

569 

685 

611 

647 

697 

765 

868 

1,021 

1,271 

1,740 

2,919 

lft.5 

627 

645 

673 

712 

768 

844 

956 

1,125 

1,401 

1,918 

3.217 

11.0 

687 

708 

739 

781 

843 

927 

1,049 

1,235 

1,537 

2,104 

3,531 

11.5 

752 

774 

808 

855 

922 

1,013 

1,149 

1,350 

1.680 

2.301 

3,860 

1?.0 

819 

843 

879 

931 

1,003 

1,103 

1.250 

1,470 

1,829 

2.504 

4,203 

13.5 

888 

914 

954 

1,010 

1,089 

1,197 

1,356 

1,595 

1,985 

2,717 

4,560 

13.0 

961 

989 

1,032 

1,093 

1,178 

1,295 

1,467 

1,725 

2,147 

2.939 

4,933 

13.5 

1,036 

1,066 

1,112 

1,178 

1,269 

1,396 

1,581 

1,860 

2,316 

3.170 

5,318 

14.0 

1,114 

1,147 

1,196 

1,267 

1,365 

1,502 

1,701 

2,001 

2,489 

3,410 

5,721 

14.5 

1,195 

1.230 

1,284 

1.359 

1,465 

1,612 

1,825 

2,146 

2,669 

3,657 

6.136 

15.0 

1,279 

1,316 

1,374 

1,454 

1,568 

1,724 

1,952 

2,297 

2,857 

3,914 

6,567 

15.5 

1,366 

1,406 

1,467 

1,553 

1.674 

1,841 

2,085 

2,453 

3,051 

4,179 

7.012 

16.0 

1.455 

1.498 

1,563 

1,654 

1,784 

1,961 

2,221 

2,613 

3,250 

4,453 

7,472 

1G.5 

1,547 

1,593 

1,662 

1,759 

1,897 

2,085 

2,362 

2,779 

3,456 

4,735 

7,945 

17.0 

1,643 

1,691 

1,765 

1,868 

2,014 

2,214 

2,507 

2,951 

3,670 

5,027 

8,43o 

17.5 

1,741 

1,792 

1,870 

1,979 

2,134 

2,346 

2,656 

3,126 

3,889 

5,326 

8,937 

18.0 

1.841 

1,896 

1,979 

2,094 

2,258 

2,482 

2,809 

3,308 

4,114 

5,636 

9,456 

18.5 

1,945 

2,002 

2,090 

2,212 

2,385 

2,622 

2.967 

3,494 

4,346 

5,953 

9.98K 

19.0  2,051 

2,111 

2,205 

2,334 

2,516 

2,766 

3,130 

3,686 

4,585 

6.279 

10.53;-, 

19.5 

2,1  GO 

2,225 

2,322 

2,458 

2,650 

2,913 

3,299 

3.881 

4,828 

6,614 

11.097 

30.0 

2,272 

2,341 

2,442 

2,586 

2,787 

3,064 

3,472 

4,083 

5,079  6,957 

11,67::! 

30.5 

2,387 

2,460 

2.566 

2,717 

2,929 

3,220 

3,648 

4,289 

5,337  7,310 

12,26o- 

31.0 

2,500 

2,581 

2,692 

2,851 

3,073 

3,379 

3,828 

4.  502 

5,600  7,670 

12,871 

21.5 

2,627 

2,705 

2,822 

2,988 

3,221 

3,541 

4,013 

4,719  J5.870  8,040 

13,491 

32.0 

2.751 

2.832 

2.955 

3,129 

3.373 

3,708 

4,201 

4,941  ,6,147  8,417 

14,127 

22.5  \2',877  \2,962  i3,090 

3,272 

3,527 

3,878 

4,394 

5,168  16,429  ,8,804 

14,775- 

HYDRAULIC    AND   EXCAVATION    TABLES. 


123 


Table   39. — Amount  of  material  in  cubic  yards  per  100  linear  feel 
of  cut  on  sloping  ground, 

side  slopes  !*/£  to  1. — Continued. 


il 

Surface  slope  of  ground  in  per  cent 

•s.s 

5  f 

10 

15 

20 

25 

30 

35 

40 

45 

50 

55 

60 

Q£ 

1 

230 

3,007 

3,096 

3,229 

3,420 

3,686 

4,053 

4,592 

5.400 

6,718 

9.201 

15,440 

33*? 

3  139 

3,232 

3,372 

3,570 

3,848 

4,231 

4.794 

5,638 

7,013 

0  606 

16.118 

34.0 

3,274 

3,371 

3,517 

3,724 

4,014 

4,413 

5.000 

5,881 

7,314 

10,019  16.812 

34.5 

3,412 

3,513 

3,665 

3,881 

4,183 

4,599 

5.211 

6,129 

7,622 

10,441 

17,519 

35.0 

3,552 

3,657 

3,816 

4,040 

4,355 

4,788 

5,425 

6,382 

7,936 

10,871 

18,242 

25.5 

3,695 

3,804 

3,970 

4,203 

4,531 

4,981 

5.644 

6,639 

8,256 

11,310 

18,978 

36.0 

3,842 

3,954 

4,128 

4,370 

4,711 

5,178 

5,868 

6.902 

8,584 

11,758 

19,731 

36.5 

3,991 

4,109 

4,288 

4,539 

4,892 

5,380 

6.095 

7,169 

8,917 

12,215  20.497 

37.0 

4,144 

4,266 

4,451 

4,712 

5,080 

5,585 

6,328 

7,443 

9,257 

12.680 

21.277 

37.5 

4,298 

4,425 

4,617 

4,888 

5,270 

5,793 

6,564 

7,721 

9,603 

13,15322,072 

28.0 

4,456 

4,588 

4,786 

5,068 

5,464 

6,006 

6.805 

8,005 

9,956 

13,637 

22,881 

38.5 

4,616 

4,753 

4,958 

5,250 

5,661 

6,223 

7,050 

8,292 

10,314  14,128 

23,706 

39.0 

4,779 

4,921 

5,134 

5.436 

5,860 

6,443 

7,300 

8,586 

10,680  14,627 

24,546 

39.5 

4,946 

5,093 

5,313 

5.626 

6,064 

6,667 

7,555 

8,885 

11,052  15,136 

25,399 

30.0 

5,115 

5,267 

5,495 

5,818 

6,272 

6,895 

7,813 

9,189 

11,429  15,654 

26,268 

30.5 

5.287 

5,444 

5.680 

6,014 

6,482 

7,127 

8,076 

9,497 

11,813  16,181 

27,150 

31.0 

5.462 

5,624 

5,868 

6,213 

6,697 

7,363 

8,342 

9.811 

12,203  16,715;28,047 

31.5 

5,639 

5,806 

6,058 

6,414 

6,914 

7,602 

8,613 

10.130 

12,600  17,259 

28,958 

33.0 

5,820 

5.992 

6,252 

6,619 

7.136 

7,845 

8,889 

10,455 

13.004  17,811 

29,885 

32.5 

6,003 

6,180 

6,449 

6,828 

7,360 

8,092 

9,169 

10,784 

13,413  18,372 

30,826 

33.0 

6,189 

6.372 

6,649 

7,040 

7.589 

8,343 

9,453 

11.119 

13,829  18,941 

31.782 

33.5 

6,378 

6.567 

6,852 

7,255 

7,821 

8,598 

9.742  11.458 

14,251  19,520  32,753 

34.0 

6.570 

6,764 

7,057 

7.472 

8,055 

8,856  10,034  ill,  802 

14.680  20,105  33,738 

34.5 

6.764 

6,964 

7,266 

7,693 

8,294 

9,118  10.331  12.151 

15.115  20.701 

34,738 

35.0 

6,962 

7,168 

7,479 

7,919 

8,537 

9,385  10,634 

12,506 

15,557  21,307 

35,754 

35.5 

7,162 

7.374 

7,694 

8.147 

8,783 

9.655  10,940:12,865 

16.004  21.921 

36.782 

36.0 

7,366 

7,584 

7,913 

8,378 

9,032 

9,929  11,250  13.230  16,458  22,542 

37,826 

36.5 

7,572 

7,796 

8,134 

8,612 

9.284  10,206  11,565 

13,601  16,919  23,172 

38.884 

37.0 

7,780 

8,011 

8.359 

8,850 

9,540  10,482 

11,88313,977  17.386  23,812  39,958 

37.5 

7,991 

8,229 

8,585 

9,090 

9,799 

10,773 

12,206 

14,356  17,857 

24,461 

41,045 

38.0 

8,206 

8,450 

8,816 

9,334 

10,062 

11,062 

12.535 

14,742  18,337 

25,116 

42,148 

38.5 

8,424 

8,6741  9,050 

9,582 

10,329  11,356 

12,867!  15,133  18.823 

25,781 

43.266 

39.0 

8,644 

8,900 

9,286 

9,832  10.599  11,652 

13,203  15,528  19,315 

26,455  44,398 

39.5 

8,867 

9,130 

9,526 

10,086  10,873  11,952 

13,544  15,929  19,814  27.137 

45.545 

40.0 

9,093 

9,363 

9,769  10,343 

11,150 

12,258 

13,889  16,335,20,319  27,829,46,699 

I 

40.5 

9,322    9,598  10.014 

10,603 

11,430 

12.567 

14,236  16,745'20,829  28.529  47,873 

41.0 

9,554    9,836  10,263 

10,867 

11,714 

12,879 

14,590  17.163  21,346  29.238  49,062 

41.5 

9,788  10,078  10,515 

11.133 

12,002 

13,195 

14,950,17,584  21,870  29,955 

50,265 

43.0   10.025  10,322  10,770 

11,403 

12.293 

13,515 

15.313  18.010  22,401  30.682 

51.483 

42.5  ^0,266  10,569,11,028 

11,677 

12.587 

13,838 

15.679 

18,441  22,937  31,417 

52,716 

43.0  'lO,509  10,819  11,289 

11,953 

12,885  14.166 

16,049  18.877  23.480 

32.160  53.963 

43.5   10,754  11,072  11,553 

12,233  13,186  14,497  1  16.425)  19,319  24,029  32J912  55.225 

44.0  11,00311,329:11,821 

12,516'  13.492  14,8331  16,805'  19,766  24,586,33.674 

56.506 

124 


HYDRAULIC    AND    EXCAVATION    TABLKfc. 


Table   40. — Amount  of  material  in  cubic  yards  per  100  linear  feet 
of  cut  on  sloping  ground, 

side  slopes  2  to  1. 

+ 


Depth 
of 
center 
cut 
in  feet 

Surface  slope  of  ground  in  per  cent 

10 

15 

20 

25 

30 

35 

40 

45 

0.5 

2 

2 

2 

3 

3 

4 

5 

10 

1.0 

7 

8 

8 

9 

11. 

14 

20 

38 

1.5 

18 

19 

20 

23 

26 

33 

47 

87 

2.0 

31 

33 

36 

40 

47 

58 

83 

156 

2.5 

48 

51 

55 

61 

72 

90 

128 

244 

3.0 

70 

74 

80 

89 

104 

131 

186 

352 

3.5 

95 

100 

109 

121 

142 

178 

252 

479 

4.0 

124 

131 

142 

158 

186 

233 

330 

623 

4.5 

157 

165 

179 

200 

235 

294 

417 

788 

5.0 

193 

203 

221 

247 

289 

363 

514 

972 

5.5 

233 

246 

267 

299 

350 

439 

622 

1,176 

6.0 

278 

293 

318 

356 

417 

523 

741 

1,400 

6.5 

326 

344 

373 

417 

489 

614 

869 

1,643 

7.0 

378 

399 

432 

484 

568 

712 

1,008 

1,906 

7.5 

434 

458 

496 

556 

652 

817 

1,158 

2,189 

8.0 

493 

521 

564 

632 

741 

929 

1,317 

2,491 

8.5 

557 

588 

637 

713 

837 

1,049 

1,486 

2,819 

9.0 

625 

659 

715 

800 

938 

1,176 

1,667 

3,160 

9.5 

697 

735 

797 

892 

,046 

1,312 

1,857 

3,521 

10.0 

772 

814 

883 

988 

,159 

1,453 

2,058 

3,903 

10.5 

851 

897 

973 

1,089 

,278 

1,601 

2,269 

4,304 

11.0 

933 

984 

1,067 

1,095 

,401 

1,754 

2,489 

4,722 

11.5 

1,020 

1,076 

1,167 

,307 

,532 

1,920 

2,721 

5,162 

12.0 

1,111 

1,172 

1,270 

,423 

,668 

2,091 

2,963 

5,621 

12.5 

1,205 

1,271 

1,377 

,543 

1,810 

2,268 

3,215 

6,099 

13.0 

1,304 

1,375 

,490 

,669 

1,959 

2,453 

3,478 

6,597 

13.5 

1,406 

1,483 

,507 

,800 

2,112 

2,644 

3,750 

7,113 

14.0 

1,513 

1,595 

,729 

,936 

2,271 

2,846 

4,033 

7.649 

14.5 

1,622 

1.711 

,854 

2,076 

2,436 

3,053 

4,325 

8.203 

15.0 

1,736 

1,832 

,985 

2,223 

2,608 

3,268 

4,630 

8,779 

15.5 

1,854 

1,956 

2,119 

2,374 

2,784 

3,489 

4,944 

9,378 

16.0 

1,975 

2,084 

2,257 

2,529 

2,966 

3,718 

5,268 

8,986 

16.5 

2,101 

2,217 

2,401 

2,690 

3,155 

3,954 

5,603 

10,625 

17.0 

2,230 

2,353 

2,549 

2,856 

3,349 

4,197 

5,946 

11,282 

17.5 

2,364 

2,493 

2,701 

3,027 

3,549 

4,448 

6,302 

11,954 

18.0 

2,500 

2,637 

2,857 

3,202 

3,754 

4,706 

6,667 

12,645 

18.5 

2,641 

2,785 

3.018 

3,382 

3,965 

4,971 

7,043 

13,358 

19.0 

2,785 

2,938 

3,183 

3,568 

4,183 

5,243 

7,429 

14,091 

19.5 

2,934 

3,095 

3,353 

3,759 

4,406 

5,621 

7,825 

14,842 

20.0 

3,087 

3,255 

3,527 

3,953 

4,634 

5,809 

8,231 

15,613 

20.5 

3,243 

3,420 

3,706 

4,151 

4,869 

6,103 

8,648 

16,403 

21.0 

3,403 

3,589 

3,889 

4,356 

5,109 

6,405 

9,075 

17,213 

21.5 

3,567 

3,762 

4,076 

4,565 

5,355 

6,713 

9,512 

18,042 

22.0 

3,734 

3.939 

4,268 

4,780 

5,608 

7,029 

9,959 

18,891 

22.5 

3,906 

4,120 

4,464 

5,000 

5,866 

7,352 

10,417 

19,760 

HYDRAULIC    AND   EXCAVATION   TABLES. 


125 


Table    4=0.— Amount  of  material   in  cubic  yards  per   100   linear 
feet  of  cut  on  sloping  ground, 

side  slopes  2  to  1 — Continued. 


Depth 

Surface  slope  of  ground  in  per  cent 

of 

center 

cut 

10 

15 

20 

25 

30 

35 

40 

45 

in  feet 

23.0 

4,082 

4,306 

4,665 

5.225 

6,130 

7,683 

10,886 

20,648 

23.5 

4,262 

4,495 

4.879 

5.454 

6,399 

8,021 

11,364 

21.555 

34.0 

4,445 

4,688 

5,080 

5.689 

6,675 

8,365 

11.853 

22,482 

24.5 

4,631 

4,885 

5,293 

5,928 

6,955 

8,715 

12.352 

23,428 

25.0 

4,823 

5,087 

5,512 

6,174 

7,242 

9,075 

12,861 

24,395 

25.5 

5,018 

5,292 

5,734 

6,424 

7,533 

9,442 

13,380 

25,381 

26.0 

5,216 

5,500 

5,960 

6,678 

7,830 

9,817 

13,909 

26,385 

26.5 

5,419 

5,714 

6,192 

6,938 

8,135 

10,199 

14.450 

27,410 

27.0 

5,625 

5,932 

6,428 

7,202 

8,445 

10,587 

15,000 

28.454 

27.5 

5,835 

6,154 

6,669 

7,471 

8,762 

10,983 

15,561 

29,518 

28.0 

6,049 

6,380 

6,813 

7,746 

9,083 

11,386 

16,132 

30,600 

28.5 

6,268 

6,611 

7,163 

8,027 

9,411 

11,798 

16,714 

31,704 

29.0 

6,490 

6,845 

7,417 

8,311 

9.744 

12,215 

17,305 

32,826 

29.5 

6,715 

7,083 

7,674 

8,598 

10,082 

12,638 

17,906 

33,967 

30.0 

6,945 

7,328 

7,937 

8,891 

10,428 

13,071 

18,519 

35,129 

30.5 

7.178 

7,572 

8,204 

9,188 

10,779 

13,510 

19,141 

36,309 

31.0 

7,415 

7,821 

8,475 

9,491 

11,135 

13,954 

19,773 

37,509 

31.5 

7,657 

8,075 

8,750 

9,801 

11,497 

14,410 

20,417 

38,729 

32.0 

7,902 

8,333 

9,030 

10,115 

11,865 

14.871 

21,071 

39,968 

32.5 

8,150 

8,596 

9,314 

10,434 

12,238 

15,339 

21,735 

41,227 

33.0 

8,403 

8,863 

9,603 

10,758 

12,617 

15,815 

22,409 

42,50(1 

33.5 

8,660 

9,133 

9,896 

11,086 

13,002 

16,298 

23,093 

43,803 

34.0 

8,920 

9,408 

10,194 

11,419 

13,393 

16,788 

23,787 

45,120 

34.5 

9,184 

9,687 

10,496 

11,757 

13,791 

17,286 

24,492 

46,457 

35.0 

9,452 

9,970 

10,802 

12,100 

14,194 

17,791 

25,207 

47,813 

35.5 

9,724 

10,257 

11,113 

12,447 

14,602 

18,302 

25,932 

49,189 

36.0 

10,000 

10,548 

11,429 

12.800 

15,016 

18,820 

26,668 

50,585 

36.5 

10,280 

10,843 

11,749 

13,158 

15,436 

19,346 

27,414 

52,000 

37.0 

10,563 

11,142 

12,073 

13,522 

15,861 

19,880 

28,170 

53,434 

37.5 

10,850 

11,445 

12,401 

13,891 

16,293 

20,422 

28,937 

54,888 

38.0 

11,142 

11,752 

12,733 

14,264 

16,730 

20,971 

29,713 

56,361 

38.5 

11,437 

12,063 

13,071 

14,642 

17,174 

21,527 

30,500 

57,855 

39.0 

11,737 

12,378 

13,413 

15,025 

17.623 

22,190 

31,297 

59,368 

39.5 

12,039 

12,697 

13,759 

15,413 

18,078 

22660 

32,104 

60,906 

40.0 

12,346 

13,021 

14,110 

15,805 

18,539 

23,237 

32,923 

62,451 

40.5 

12,656 

13.349 

14,465 

16,202 

19,006 

23,821 

33,752 

64,021 

41.0 

12,971 

13,681 

14,824 

16,605 

19,479 

24,414 

34,590 

65,611 

41.5 

13,290 

14.017 

15,187 

17,013 

19,957 

25,012 

35,438 

67,221 

42.0 

13,612 

14,357 

15,556 

17,425 

20,441 

25,619 

36,298 

68,851 

42.5 

13,938 

14,701 

15,929 

17,842 

20,930 

26,231 

37,168 

70.501 

43.0 

14,267 

15,049 

16,306 

18,264 

21,424 

26,852 

38,047 

72,170 

43.5 

14.601 

1  0.401 

16,687 

18,691 

21,925 

27,481 

38,937 

73,858 

44.0 

14.939 

15,757 

17,073 

19,124 

22.432 

28.116 

39,837 

75,565 

126 


HYDRAULIC   AND    EXCAVATION    TABLES. 


Table    4=1. — Three-halves  powers  of  numbers, 
0.000  to  1.199. 


Number 

.000 

.001 

.002 

.003 

.004 

.005 

.OOf 

.007 

.008 

.009 

0.00 

.0000 

.0001 

.0002 

.0003 

.0004 

.0005 

.0006 

.0007 

.ooos 

.ooou 

.01 

.0010 

.0012 

.0014 

.0015 

.0017 

.0019 

.0021 

.0022 

.0024 

.002(1 

.03 

.0028 

.0030 

.0033 

.0035 

.0038 

.0040 

.0042 

.0045 

.0047 

.005(1 

.03 

.0052 

.0055 

.0058 

.0060 

.0063 

.0066 

.0069 

.0072 

.0074 

.0077 

.01 

.0080 

.0083 

.0086 

.0090 

.0093 

.0096 

.0099 

.0102 

.0106 

.0109 

.05 

.0112 

.0116 

.0119 

.0122 

.0126 

.0130 

.0133 

.0136 

.0140 

.0144 

.06 

.0147 

.0151 

.0155 

.0158 

.0162 

.0166 

.0170 

.0174 

.0177 

.0181 

.07 

.0185 

.0189 

.0193 

.0197 

.0201 

.0206 

.0210 

.0214 

.0218 

.0222 

.OS 

.0226 

.0230 

.0235 

.0239 

.0244 

.0248 

.0252 

.0257 

.02(51 

.02(U) 

.09 

.0270 

.0275 

.0279 

.0284 

.0288 

.0293 

.0298 

.0302 

.0307 

.0311 

.10 

.0316 

.0321 

.0326 

.0331 

.0336 

.0340 

.0345 

.0350 

.0355 

.0360 

.11 

.0365 

.0370 

.0375 

.0380 

.0385 

.0390 

.0396 

.0401 

.0406 

.0411 

A* 

.0416 

.0421 

.0427 

.0432 

.0437 

.0442 

.0448 

.0453 

.0458 

.0464 

.13 

.0469 

.0474 

.0480 

.0486 

.0491 

.0496 

.0502 

.0508 

.0513 

.0518 

.14 

.0524 

.0530 

.0535 

.0541 

.0547 

.0552 

.0558 

.0564 

.0570 

.0575 

.1$ 

.0581 

.0587 

.0593 

.0599 

.0605 

.0610 

.0616 

.0622 

.0628 

.0634 

.16 

.0640 

.0645 

.0652 

.0658 

.0664 

.0670 

.0677 

.0683 

.0689 

.O69.r, 

.17 

.0701 

.0707 

.0714 

.0720 

.0726 

.0732 

.0739 

.0745 

.0751 

.075S 

.18 

.0764 

.0770 

.0777 

.0783 

.0700 

.0796 

.0802 

.0809 

.0815 

.0822 

.19 

.0828 

.0835 

.0841 

.0848 

.C854 

.0861 

.0868 

.0874 

.0881 

.0887 

.20 

.0894 

.0901 

.0908 

.0914 

.0921 

.0928 

.0935 

.0942 

.0948 

.0955 

.21 

.0962 

.0969 

.0976 

.0983 

.0990 

.0997 

.1004 

.1011 

.1018 

.1025 

.22 

.1032 

.1039 

.1046 

.1053 

.1060 

.1068 

.1075 

.1082 

.1089 

.1096 

.23 

.1103 

.1110 

.1118 

.1125 

.1132 

.1140 

.1147 

.1154 

.1161 

.1169 

.24 

.1176 

.1183 

.1191 

.1198 

.1251 

.1213 

.1220 

.1228 

.1235 

.1243 

.2$ 

.1250 

.1258 

.1265 

.1273 

.1280 

.1288 

.1296 

.1303 

.1311 

.1318 

.26 

.1326 

.1334 

.1341 

.1349 

.1357 

.1364 

.1372 

.1380 

.1388 

.1395 

.27 

.1403 

.1411 

.1419 

.1427 

.1435 

.1442 

.1450 

.1458 

.14(6 

.1474 

.28 

.1482 

.1490 

.1498 

.1506 

.1514 

.1522 

.1530 

.1538 

.1546 

.1554 

.29 

.1562 

.1570 

.1578 

.1586 

.1594 

.1602 

.1611 

.1619 

.1627 

.1635 

.38 

.1643 

.1651 

.1660 

.1668 

.1676 

.1684 

.1693 

.1701 

.1709 

.1718 

.31 

.1726 

.1734 

.1743 

.1751 

.1760 

.1768 

.1776 

.1785 

.17P3 

.1802 

.32 

.1810 

.1819 

.1827 

.1836 

.1844 

.1853 

,1863 

.1870 

.1879 

.1887 

.33 

.1896 

.1905 

.1913 

.1922 

.1931 

.1940 

.1948 

.1957 

.1SG6 

.1974 

.34 

.1983 

.1992 

.2001 

.2009 

.2018 

.2027 

.2036 

.2045 

.2053 

.2062 

.35 

.2071 

.2080 

.2089 

.2098 

.2107 

.2116 

.2124 

.2133 

.2142 

.2151 

.36 

.2160 

.2169 

.2178 

.2187 

.2196 

.2206 

.2215 

.2224 

.2233 

.2242 

.37 

.2251 

.2260 

.2269 

.2278 

.2287 

.2296 

.23C6 

.2315 

.2324 

.2333 

.38  i  .2342 

.2351 

.2361 

.2370 

.2380 

.2389 

.2398 

.2408 

.2417 

.2427 

.39 

.2436 

.2445 

.2455 

.2464 

.2474 

.2483 

.2492 

.2502 

.2511 

.2521 

.40 

.2530 

.2540 

.2549 

.2558 

.2568 

.2578 

.2587 

.2596 

.2606 

.2616 

.41 

.2625 

.2635 

.2644 

.2654 

.2664 

.2674 

.2683 

.2693 

.2703 

.2712 

.42 

.2722 

.2732 

.2742 

.2751 

.2761 

.2771 

.2781 

.2791 

.2800 

.2810 

.43 

.2820 

.2830 

.2840 

.2850 

.2860 

.2870 

.2879 

.2889 

.28P9 

.2909 

.44 

.2919 

.2929 

.2939 

.2949 

.2959 

.2969 

.2979 

.2989 

.2999 

.3009 

.45 

.3019 

.3029 

.3039 

.3049 

.3059 

.3070 

.3080 

.3090 

.3100 

.3110 

.46 

.3120 

.3130 

.3140 

.3151 

.3161 

.3171 

.3181 

.3191 

.32C2 

.3212 

.47 

.3222 

.3232 

.3243 

.3253 

.3263 

.3274 

.3284 

.3294 

.3304 

.3315 

.4S 

.3325 

.3336 

.3346 

.3356 

.3367 

.3378 

.3388 

.3398 

.3409 

.3420 

.49 

.3430 

.3441 

.3451 

.3462 

.3472 

.3483 

.3494  !  .3504 

.3515 

.3525 

HYDRAULIC    AND   EXCAVATION    TABLES. 

Table    41. — Three-halves  powers  of  numbers, 
0.000  to  1.499.— Continued. 


127 


Number 

.090 

.001 

.002 

.003 

.004 

.005 

.006 

.007 

.008 

.009 

0.50 

.3536  .3  v47 

.3557 

.3568 

.3578 

.3589 

.3600 

.3610 

.3621 

.3631 

.51 

.3642  .3  >53 

.3664 

.3674 

.3685 

.3696 

.3707 

.3718 

.3723 

.3739 

.53 

.3750  .3761 

.3772 

.3782 

.3793 

.3804 

.3815 

.3826 

.3836 

.3847 

.53 

.3858  .3869 

.3880 

.3891 

.3902 

.3913 

.3924 

.3935 

.3946 

.3957 

.54 

.3968 

.3979 

.3990 

.4001 

.4012 

.4024 

.4035 

.4046 

.4057 

.4008 

.55 

.4079 

.4090 

.4101 

.4113 

.4124 

.4135 

.4146 

.4157 

.4169 

.4180 

.56 

.4191  j  .4202 

.4213 

.4225 

.4236 

.4247 

.4258 

.4269 

.4281 

.4292 

.57 

.4303  1  .4314 

.4326 

.4337 

.4349 

.4360 

.4371 

.4383 

.4394 

.4406 

.59 

.4417  .4428 

.4440 

.4452 

.4463 

.4474 

.4486 

.4498 

.4509 

.4520 

.59 

.4532 

.4544 

.4555 

.4567 

.4578 

.4590 

.4*>02 

.4613 

.4625 

.4636 

.60 

.4648 

.4660 

.4671 

.4683 

.4694 

.4706 

.4718 

.4729 

.4741 

.4752 

.61 

.4764 

.4776 

.4788 

.4799 

.4811 

.4823 

.4835 

.4847 

.4858 

.4870 

.6? 

.4882 

.4S94 

.4906 

.4917 

.4929 

.4941 

.4953 

.4965 

.4976 

.4988 

.63 

.5000 

.5012 

.5024 

.5036 

.5048 

.5060 

.5072 

.5084 

.5096 

.5108 

.64 

.5120 

.5132 

.5144 

.5156 

.5108 

.5180 

.5192 

.5204 

.5216 

.5228 

,G5 

.5240 

.5252 

.5264 

.5277 

.5289 

.5301 

.5313 

.5325 

.5338 

.5350 

.66 

.5302 

.5374 

.5386 

.5399 

.5411 

.5423 

.5435 

.5447 

.5460 

.5472 

.67 

.5484 

.5496 

.5509 

.5521 

.5533 

.5546 

.5558 

.5570 

.5582 

.5595 

.63 

.5607 

.5620 

.5632 

.5644 

.5657 

.5670 

.5682 

.5694 

.5707 

.5720 

.69 

.5732 

.5744 

.5757 

.5770 

.5782 

.5794 

.5807 

.5820 

.5832 

.5844 

.70 

.5857 

.5870 

.5882 

.5895 

.5907 

.5920 

.5933 

.5945 

.5958 

.5970 

.71 

.5983 

.5996 

.6008 

.6021 

.6033 

.6046 

.6059 

.6071 

.6084 

.6096 

.7* 

.6109 

.6122 

.6135 

.6147 

.6160 

.6173 

.6186 

.6199 

.6211 

.6224 

.73 

.6237 

.6250 

.6203 

.6276 

.6289 

.6302 

.6314 

.6327 

.6340 

.6353 

.74 

.6366 

.6379 

.6392 

.6405 

.6418 

.6430 

.6443 

.6456 

.6469 

.6482 

.75 

.6495 

.6508 

.6521 

.6534 

.6547 

.6560 

.6574 

.6587 

.6600 

.6613 

.76 

.6626 

.6639 

.6652 

.6665 

.6678 

.6692 

.6705 

.6718 

.6731 

.6744 

,77 

.6757 

.6770 

.6783 

.6797 

.6810 

.6823 

.6836 

.6849 

.6863 

.6876 

.78 

.6889 

.6902 

.6916 

.6929 

.6942 

.6956 

.6969 

.6982 

.6995 

.7009 

.79 

.7022 

.7035 

.7049 

.7062 

.7075 

.7088 

.7102 

.7115 

.7128 

.7142 

.80 

.7155 

.7168 

.7182 

.7196 

.7209 

.7222 

.7236 

.7250 

.7263 

.7276 

.81 

.7290 

.7304 

.7317 

.7330 

.7344 

.7358 

.7371 

.7384 

.7398 

.7412 

.8? 

.7425 

.7439 

.7452 

.7466 

.7480 

.7494 

.7507 

.7521 

.7535 

.7548 

.83 

.7562 

.7576 

.7589 

.7603 

.7617 

.7630 

.7644 

.7658 

.7672 

.7685 

.81 

.7699 

.7713 

.7727 

.7740 

.7754 

.7768 

.7782 

.7796 

.7809 

.7823 

.85 

.7837 

.7851 

.7865 

.7878 

.7892 

.7906 

.7920 

.7934 

.7947 

.7961 

.83 

.7975 

.7989 

.8003 

.8017 

.8031 

.8345 

.8059 

.8073 

.8087 

.8101 

.87 

.8115 

.8129 

.8143 

.8157 

.8171 

.8185 

.8199 

.8213 

.8227 

.8241 

.89 

.8255 

.8269 

.8283 

.8297 

.8311 

.8326 

.8340 

.8354 

.8368 

.8382 

.89 

.8396 

.8410 

.8424 

.8439 

.8453 

.8467 

.8481 

.8495 

.8510 

.8524 

.90 

.8538 

.8552 

.8567 

.8581 

.8595 

.8610 

'.8624 

.8638 

.8652 

.8667 

.91 

.8681 

.8695 

.8710 

.8724 

.8738 

.8752 

.8767 

.8781 

.8795 

.8810 

.9? 

.8824 

.8838 

.8853 

.8868 

.8882 

.8896 

.8911 

.8926 

.8940 

.8954 

.93 

.8969 

.8984 

.8998 

.9012 

.9027 

.9042 

.9056 

.9070 

.9085 

.9100 

.91 

.9114 

.9128 

.9143 

.9158 

.0172 

.9186 

.9201 

.9216 

.9230 

.9244 

.95 

.9259 

.9274 

.9288 

.9302 

.9317 

.9332 

.9347 

.9362 

.9377 

.9391 

.93 

.9*06 

.9421 

.9435 

.9450 

.9465 

.9480 

.9494 

.9509 

.9524 

.9538 

.97 

.9553 

.9568 

.9583 

.9598 

.9613 

.9628 

.9642 

.9657 

.9672 

.9687 

.98 

.9702 

.9717 

.9732 

.9746 

.9761 

.9776 

.9791 

.9806 

.9820 

.9835 

.99 

.9850 

.9865 

.9880 

.9895 

.9910 

.9925 

.9940 

.9955 

.9970 

.908.-> 

128 


HYDRAULIC   AND   EXCAVATION    TABLKS. 


Table    41. — Three-halves  powers  of  numbers, 
0.000  to  1.499. — Continued. 


Num- 
ber 

.000 

.001 

.002 

.003 

.004 

.005 

.006 

.007 

.008 

.009 

1.00 

1.0000 

1.0015 

1.0030 

1.0045 

10060 

1.0075 

1.0090 

1.0105  1.01201  1.013f> 

1.01 

1.0150 

1.0165 

1.0180 

1.0196 

1.0211 

1.0226 

1.0241 

1.0256  1.0272  1.0287 

1.02 

1.0302 

1.0317 

1.0332 

1.0347 

1.0362 

1.0378 

1.0393 

1.0408;  1.0428  1.043K 

1.03 

1.0453 

1.0468 

1.0484 

1.0499 

1.0514 

1.0530 

1.0545 

1.0560;  1.0575  1.0591 

1.04 

1.0606 

1.0621 

1.0637 

1.0652 

1.0667 

1.0682 

1.0698 

1.0713J  1.0728  1.0744 

1.05 

1.0759 

1.0774 

1.0790 

1.0805 

1.0821 

1.0836 

1.0851 

1.0867  1.0882  1.089* 

1.06 

1.0913 

1.0928 

1.0944 

1.0960 

1.0975 

1.0990 

1.1006 

.1022;  1.1037  1.10.52 

1.07 

1.1068 

'1.1084 

1.1099 

1.1115 

1.1130 

1.1146 

1.1162 

.1177  1.1193  1.120s 

1.08 

1.1224 

1.1240 

1.1255 

1.1271 

1.1286 

1.1302 

1.1318 

.1333!  1.1349  1.1364 

1.09 

1.1380 

1.1396 

111411 

1.1427 

1.1443 

1.1458 

1.1474 

.1490;  1.1506  1.1521 

1.10 

1.1537 

1.1553 

1.1569 

1.1584 

1.1600 

1.1616 

1.1632 

.1648  1.1663  1.167'.*- 

1.11 

1.1695 

1.1711 

1.1727 

1.1742 

1.1758 

1.1774 

1.1790 

.1806  1.1821  1.1837 

1.13 

1.1853 

1.1869 

1.1885 

1.1901 

1.1917 

1.1932 

1.1948 

.1964  1.1980  1.199U 

1.13 

1.2012 

1.2028 

1.2044 

1.2060 

1.2076 

1.2092 

1.2108 

1.21241  1.2140  1.21SIV 

1.14 

1.2172 

1.2188 

1.2204 

1.2220 

1.2236 

1.2252 

1.2268 

1.2284 

1.2300  1.231U 

1.15 

1.2332 

1.2348 

1.2364 

1.2381 

1.2397 

1.2413 

1.2429 

1.2445  1.2462 

1.247S 

1.16 

1.2494 

1.2510 

1.2526 

1.2543 

1.2559 

1.2575 

1.2591 

1.2607 

1.2624 

1.2641. 

1.17 

1.2656 

1.2672 

1.2688 

1.2705 

1.2721 

1.2737 

1.2753 

1.2769i  1.2786 

1.2802 

1.18 

1.2818 

1.2834 

1.2851 

1.2867 

1.2883 

1.2900 

1.2916 

1.2932 

1.2948 

1.296--, 

1.19 

1.2981 

1.2997 

1.3014 

1.3030 

1.3047 

1.3063 

1.3079 

1.3096 

1.3112 

1.312<» 

1.20 

1.3145 

1.3162 

1.3178 

1.3194 

1.3211 

1.3228 

1.3244 

1.3260|  1.3277 

1.3294 

1.21 

1.3310 

1.3326 

1.3343 

1.3360 

1.3376 

1.3392 

1.3409 

1.34261  1.3442 

1.345X 

1.22 

1.3475 

1.3492 

1.3508 

1.3525 

1.3541 

1.3558 

1.3575 

1.3591J  1.3608 

1.362) 

1.23 

1.3641 

1.3658 

1.3674 

1.3691 

1.3768 

1.3724 

1.3741 

1.37581  1.3775 

1.3791 

1.24 

1.3808 

1.3825 

1.3841 

1.3858 

1.3875 

1.3892 

1.3908 

1.3925 

1.3942 

1.3S5S 

1.25 

1.3975 

1.3992 

1.4009 

1.4026 

1.4043 

1.4060 

1.4076 

1.4093  1.4110 

1.4127 

1.26 

1.4144 

1.4161 

1.4178 

1.4194 

1.4211 

1.4228 

1.4245 

1.4262  1.4278 

1.429f> 

1.27 

1.4312 

1.4329 

1.4346 

1.4363 

1.4380 

1.4397 

1.4414 

1.4431:  1.4448  1.4405 

1.28 

1.4482 

1.4499 

1.4516 

1.4533 

1.4550 

1.4567 

1.4584 

1.4601!  1.4618]  1.4035 

1.29 

1.4652 

1.4669 

1.4686 

1.4703 

1.4720 

1.4737 

1.4754 

1.4771!  1.4788  1.480.', 

1.30 

1.4822 

1.4839 

1.4856 

1.4874 

1.4891 

1.4908 

1.4925 

1.4942  1.49601  1.4977 

1.31 

1.4994 

1.5011 

1.5028 

1.5046 

1.5063 

1.5080 

1.5097 

1.51141  1.5132,  1.514t> 

1.32 

1.5166 

1.5183 

1.5200 

1.5218 

1.5235 

1.5252 

1.5269 

1.5286  1.5304 

1.5321 

1.33 

1.5338 

1.5355 

1.5373 

1.5390 

1.5408 

1.5425 

1.5442 

1.5460  1.5477 

1.54\K> 

1.34 

1.5512 

1.5529 

1.5547 

1.5564 

1.5582 

1.5599 

1.5616 

1.5634 

1.5651 

1.66UU 

1.35 

1.5686!  1.5703 

1.5721 

1.5738 

1.5756 

1.5773 

1.5790 

1.5808 

1.5825 

1.684?. 

1.36 

1.5860  1.5878 

1.5895 

1.5912 

1.5930 

1.5948 

1.5965 

1.5982 

1.6000 

1.6018 

1.37 

1.6035  1.6053 

1.6070 

1.6088 

1.6105 

1.6123 

1.6141 

1.6158 

1.6176 

1.6193 

1.38 

1.6211  1.6229 

1.6246 

1.6264 

1.6282 

1.6300 

1.6317 

1.6335  1.6353 

1.6370 

1.39 

1.6388  1.6406 

1.6423 

1.6441 

1.6459 

1.6476 

1.6494 

1.6512  1.6530 

1.6547 

1.40 

1.6565  1.6583 

1.6601 

1.6618 

1.6636 

1.6654 

1.6672 

1.6690 

1.6708 

1.672.1 

1.41 

1.6743  1.6761 

1.6779 

1.6796 

1.6814 

1.6832 

1.6850 

1.6868 

1.6885 

1.690:; 

1.42 

1.6921  1.6939 

1.6957 

1.6975 

1.6993 

1.7010 

1.7028 

1.7046 

1.7064 

1.70&! 

1.43 

1.7100  1.7118 

1.7136 

1.7154 

1.7172 

1.7190 

1.7208 

1.7226 

1.7244 

1.7262 

1.44 

1.7280  1.7298 

1.7316 

1.7334 

1.7352 

1.7370 

1.7388 

1.7406 

1.7424 

1.7442 

1.45 

1.7460 

1.7478 

1.7496 

1.7514 

1.7532 

1.7550 

1.7569 

1.7587 

1.7605 

1.762:i 

1.46 

1.7641'  1.7659 

1.7677 

1,7696 

1.7714 

1.7732 

1.7750 

1.7768 

1.7787 

1.780.-, 

1.47 

1.7823  1.7S41 

1.7859 

1.7878 

1.7896 

1.7914 

1.7932 

1.7950 

1.7969 

1.79S', 

1.48 

1.8005  1.8023 

1.8042  1.8060 

1.8078 

1.8096 

1.8115 

1.8133 

1.8151 

1.8170 

1.49 

1.8188 

1.8206 

1.8225 

1.8243 

1.8261 

1.8280 

1.8298 

1.8316 

1.8334 

1.835.'; 

HYDBAULIC   AND  EXCAVATION    TABLES.  129 

Table    42.— Three-halves  powers  of  numbers, 
1.50  to  19.99. 


Num- 
ber 

.00 

.01 

.02 

.03 

.04 

.05 

.06 

.07 

.OS 

.09 

1.5 

1.838 

1.856 

1.874 

1.892 

1.911 

1.930 

1.948 

1.967 

1.986 

2.005 

1.6 

2.024 

2.043 

2.062 

2.081 

2.100 

2.120 

2.139 

2.158 

2.178 

2.197 

1.7 

2.216 

2.236 

2.256 

2.276 

2.295 

2.315 

2.335 

2.355 

2.375 

2.395 

1.8 

2.415 

2.435 

2.455 

2.476 

2.496 

2.516 

2.537 

2.557 

2.578 

2.598 

1.9 

2.619 

'2.640 

2.660 

2.681 

2.702 

2.723 

2.744 

2.765 

2.786 

2.807 

2.0 

2.828 

2.850 

2.871 

2.892 

2.914 

2.935 

2.957 

2.978 

3.000 

3.022 

2.1 

3.043 

3.065 

3.087 

3.109 

3.131 

3.152 

3.174 

3.197 

3.219 

3.241 

2.2 

3.263 

3.285 

3.308 

3.330 

3.352 

3.375 

3.398 

3.420 

3.443 

3.465 

2.3 

3.488 

3.511 

3.534 

3.557 

3.580 

3.602 

3.626 

3.649 

3.672 

3.695 

2.4 

3.718 

3.741 

3.765 

3.788 

3.811 

3.835 

3.858 

3.882 

3.906 

3.929 

2.5 

3.953 

3.977 

4.000 

4.024 

4.048 

4.072 

4.096 

4.120 

4.144 

4.168 

2.6 

4.192 

4.217 

4.241 

4.265 

4.290 

4.314 

4.338 

4.363 

4.387 

4.412 

2.7 

4.437 

4.461 

4.486 

4.511 

4.536 

4.560 

4.585 

4.610 

4.635 

4.660 

2.8 

4.685 

4.710 

4.736 

4.761 

4.786 

4.811 

4.837 

4.862 

4.888 

4.913 

2.9 

4.938 

4.964 

4.990 

5.015 

6.041 

5.067 

5.093 

5.118 

5.144 

5.170 

3.0 

5.196 

5.222 

5.248 

5.274 

5.300 

5.327 

5.353 

5.379 

5.405 

5.432 

3.1 

5.458 

5.484 

5.511 

5.538 

5.564 

5.591 

5.617 

5.644 

5.671 

5.698 

3.2 

5.724 

5.751 

5.778 

5.805 

5.832 

5.859 

5.886 

5.913 

5.940 

5.968 

3.3 

5.995 

6.022 

6.049 

6.077 

6.104 

6.132 

6.159 

6.186 

6.214 

6.242 

3.4 

6.269 

6.297 

6.325 

6.352 

6.380 

6.408 

6.436 

6.464 

6.492 

6.520 

3.5 

6.548 

6.576 

6.604 

6.632 

6.660 

6.689 

6.717 

6.745 

6.774 

6.802 

3.6 

6.830 

6.859 

6.888 

6.916 

6.945 

6.973 

7.002 

7.031 

7.060     7.088 

3.7 

7.117 

7.146 

7.175 

7.204 

7.233 

7.262 

7.291 

7.320 

7.349 

7.378 

3.8 

7.408 

7.437 

7.466 

7.496 

7.525 

7.554 

7.584 

7.613 

7.643 

7.672 

3.9 

7.702 

7.732 

7.770 

7.791 

7.821 

7.850 

7.880 

7.910 

7.940 

7.970 

4.0 

8.000 

8.030 

8.060 

8.090 

8.120 

8.150 

8.181 

8.211 

8.241 

8.27^ 

4.1 

8.302 

8.332 

8.363 

8.393 

8.424 

8.454 

8.485 

8.515 

8.546 

8.577 

4.2 

8.607 

8.638 

8.669 

8.700 

8.731 

8.762 

8.792 

8.824 

8.854 

8.886 

4.3 

8.917 

8.948 

8.979 

9.010 

9.041 

9.073 

9.104 

9.135 

9.167 

9.198 

4.4 

9.230 

9.261 

9.292 

9.324 

9.356 

9.387 

9.419 

9.451 

9.482 

9.514 

4.5 

9.546 

9.578 

9.610 

9.642 

9.674 

9.706 

9.738 

9.770 

9.802 

9.834 

4.6 

9.866 

9.898 

9.930 

9.963 

9.995 

10.03 

10.06 

10.09 

10.12 

10.16 

4.7 

10.19 

10.22 

10.25 

10.29 

10.32 

10.35 

10.39 

10.42 

10.45 

10.48 

4.8 

10.52 

10.55 

10.58 

10.62 

10.65 

10.68 

10.71 

10.75 

10.78 

10.81 

4.9 

10.85 

10.88 

10.91 

10.95 

10.98 

11.01 

11.05 

11.08 

11.11 

11.15 

5.0 

11.18 

11.21 

11.25 

11.28 

11.31 

11.35 

11.38 

11.42 

11.45 

11.48 

5.1 

11.52 

11.55 

11.59 

11.62 

11.65 

11.69 

11.72 

11.76 

11.79 

11.82 

5.2 

11.86 

11.89 

11.93 

11.96 

11.99 

12.03 

12.06 

12.10 

12.13 

12.17 

5.3 

1?.20 

12.24 

12.27 

12.31 

12.34 

12.37 

12.41 

12.44 

12.48 

12.51 

5.4 

12.55 

12.58 

12.62 

12.65 

12.69 

12.72 

12.76 

12.79 

12.83 

12.86 

5.5 

12.90 

12.93 

12.97 

13.00 

13.04 

13.07 

13.11 

13.15 

13.18 

13.22 

5.6 

13.25 

13.29 

13.32 

13.36 

13.39 

13.43 

13.47 

13.50 

13.54 

13.57 

5.7 

13.61 

13.64 

13.68 

13.72 

13.75 

13.79 

13.82 

13.86 

13.90 

13.93 

5.8 

13.97 

14.00 

14.04 

14.08 

14.11 

14.15 

14.19 

14.22 

14.26 

14.29 

5.9 

14.33 

14.37 

14.40 

14.44 

14.48 

14.51 

14.55 

14.59 

14.62 

14.66 

6.0 

14.70 

14.73 

14.77 

14.81 

14.84 

14.88 

14.92 

14.95 

14.99 

15.  OS 

6202°— 17- 


130  HYDRAULIC    AND    KXCAVATIOX    TABLES. 

Table    42. --Three-halves  powers  of  numbers, 
1.50  to  19.99 — Continued. 


Number 

.09 

.01 

.03 

.03 

.04 

.or* 

.06 

.07 

.08 

.Of 

6.1 

15.07 

15.10 

15.14 

15.18 

15.21 

15.25 

15.29 

15.33 

15.36 

15.40 

6.3 

15.44 

15.48 

15.51 

15.55 

15.59 

15.62 

15.66 

15.70 

15.74 

15.78 

6.3 

15.81 

15.  X5 

15.89 

15.93 

15.96 

16.00 

16.04 

16.08 

16.12 

16.15 

6.4 

16.19 

16.23 

16.27 

16.30 

16.34 

10.38 

16.42 

16.46 

16.50 

16.53 

6.5 

16.57 

16.61 

16.65 

16.69 

16.72 

16.76 

16.80 

16.84 

16.88 

16.92 

6.6 

16.96 

16.99 

17.03 

17.07 

17.11 

17.15 

17.19 

17.22 

17.26 

17.30 

6.7 

17.34 

17.38 

17.42 

17.46 

17.50 

17.54 

17.58 

17.62 

17.65 

17.69 

6.8 

17.73 

17.77 

17.81 

17.85 

17.89 

17.93 

17.97 

18.01 

18.05 

18.00 

6.9 

18.12 

18.16 

18.20 

18.24 

18.28 

18.32 

18.36 

18.40 

18.44 

13.48 

7.0 

18.52 

18.56 

18.60 

18.64 

18,68 

18.72 

18.76 

18.80 

18.84 

18.88 

7.1 

18.92 

18.96 

19.00 

19.04 

19.08 

19.12 

19.16 

19.20 

19.24 

19.28 

7.3 

19.32 

19.36 

19.40 

19.44 

19.48 

19.52 

19.56 

19.60 

1964 

19.68 

7.3 

19.72 

19.76 

19.80 

19.85 

19.89 

19.93 

19.97 

2001 

20.05 

20.09 

7.4 

20.13 

20.17 

20.21 

20.25 

20.29 

20.33 

2038 

20.42 

20.46 

20.50 

7.5 

20.54 

20.58 

20.62 

20.66 

20.70 

20.75 

20.79 

20.83 

20.87 

20.91 

7.6 

20.95 

20.99 

21.03 

21.08 

21.12 

21.16 

21.20 

21.24 

21.28 

21.32 

7.7 

21.37 

21.41 

21.45 

21.49 

21.53 

21.58 

21.62 

21.66 

21.70 

21.74 

7.8 

21.78 

21.83 

21.87 

21.91 

21.95 

21.99 

22.04 

22.08 

22.12 

22.16 

7.9 

22.20 

22.25 

22.29 

22.33 

22.37 

22.42 

22.46 

22.50 

22.54 

22.58 

8.0 

22.63 

22.67 

22.71 

22.75 

22.80 

22.84 

22.88 

22.93 

22.97 

23.01 

8.1 

23.05 

23.10 

23.14 

23.18 

23.22 

23.27 

23.31 

23.35 

23.40 

23.44 

8.2 

23.48 

23.52 

23.57 

23.61 

23.65 

23.70 

23.74 

23.78 

23.83 

23.87 

8.3 

23.91 

23.96 

24.00 

24.04 

24.09 

24.13 

24.17 

24.22 

24.26 

24.30 

8.4 

24.35 

24.39 

24.43 

24.48 

24.52 

24.56 

24.61 

24.65 

24.69 

24.74 

8.5 

24.78 

24.83 

24.87 

24.91 

24.96 

25.00 

25.04 

25.09 

25.13 

25.18 

8.6 

25.22 

25.26 

25.31 

25.35 

25.40 

25.44 

25.48 

25.53 

25.57 

25.62 

8.7 

25.66 

25.71 

25.75 

25.79 

25.84 

25.88 

25.93 

25.97 

26.02 

26.06 

8.8 

26.10 

26.15 

26.19 

26.24 

26.28 

26.33 

26.37 

26.42 

26.46 

26.51 

8.9 

26.55 

26.60 

26.64 

26.69 

26.73 

26.78 

26.82 

26.87 

26.91 

26.96 

9.0 

27.00 

27.04 

27.09 

27.14 

27.18 

27.23 

27.27 

27.32 

27.36 

27.41 

9.1 

27.45 

27.50 

27.54 

27.59 

27.63 

27.68 

27.72 

27.77 

27.81 

27.86 

9.3 

27.90 

27.95 

28.00 

28.04 

28.09 

28.13 

28.18 

28.22 

28.27 

28.32 

9.3 

28.36 

28.41 

28.45 

28.50 

28.54 

28.59 

28.64 

28.68 

28.73 

28.77 

9.4 

28.82 

28.87 

28.91 

28.96 

29.00 

29.05 

29.10 

29.14 

29.19 

29.23 

9.5 

29.28 

29.33 

29.37 

29.42 

29.47 

29.51 

29.56 

29.61 

29.65 

29.70 

9.6 

29.74 

29.79 

29.84 

29.88 

29.93 

29.98 

30.02 

30.07 

30.12 

30.16 

9.7 

30.21 

30.26 

30.30 

30.35 

30.40 

30.44 

30.49 

30.54 

30.58 

30.  G3 

9.8 

30.68 

30.73 

30.77 

30.82 

30.87 

30.91 

30.96 

31.01 

31.06 

31.10 

9.9 

31.15 

31.20 

31.24 

31.29 

31.34 

31.38 

31.43 

31.48 

31.53 

31.58 

10.0 

31.62 

31.67 

31.72 

31.77 

31.81 

31.86 

31.91 

31.96 

32.00 

32.05 

10.1 

32.10 

32.15 

32.19 

32.24 

32.29 

32.34 

32.38 

32.43 

32.48 

32.53 

10.3 

32.58 

32.62 

32.67 

32.72 

32.77 

32.82 

32.86 

32.91 

32.96 

33.01 

10.3 

33.06 

33.10 

33.15 

33.20 

33.25 

33.30 

33.35 

33.39 

33.44 

33.49 

10.4 

33.54 

33.59 

33.64 

33.68 

33.73 

33.78 

33.83 

33.88 

33.93 

33.98 

10.5 

34.02 

34.07 

34.12 

34.17 

34.22 

34.27 

34.32 

34.36 

34.41 

34.4H 

10.6 

34.51 

34.56 

34.61 

34.66 

34.71 

84.76 

34.80 

34.85 

34.90 

34.95 

HYDKAUL1C    AND   EXCAVATION    TABLES. 

Table   42. — Three-halves  powers  of  numbers, 

1.50  to  19.99 — Continued. 


131 


.00 

.01 

.02 

.03         .04 

.05    !     .06 

.07 

.08 

.09 

35.00 

35.05 

35.10 

35.15 

35.20 

35.25 

35.30 

35.34 

35.39 

.'55.44 

35.49 

35.54 

35.59 

35.64 

35.69 

35.74 

35.79 

35.84 

35.89 

35.94 

35.99 

36.04 

36.09 

36.14 

36.18 

36.23 

26.28 

3f,.33    :;»;..ss 

36.43 

36.48 

36.53 

36.58 

36.63 

36.68 

36.73 

36.78 

3C..S3     36.88 

36.93 

36.98 

37.03 

37.08 

37.13 

37.18 

37.23 

37.28 

37.  33 

37.38 

37.43 

37.48 

37.53 

37.58 

37.63 

37.68 

37.73 

37.78 

37.83 

37.88 

37.94 

37.99 

38.04 

38.09 

38.14 

38.19 

38.24 

38.29 

38.34 

38.39 

38.44 

38.49 

38.54 

38.59 

38.64 

38.69 

38.74 

3880 

38.85 

38.90 

38.95 

39.00 

39.05 

39.10 

39.15 

39.20 

39.25 

3930 

39.36 

39.41 

39.46 

39.51 

39.56 

39.61 

39.66 

39.71 

39.76 

39.82 

39.87 

39.92 

39.97 

40.02 

40.07 

40.12 

40.17 

40.23 

40.28 

40.33 

40.38 

40.43 

40.48 

40.53 

40.59 

40.64 

40.69 

40.74 

40.79 

40.84 

40.90 

40.95 

41.00 

41.05 

41.10 

41.15 

41.21 

41.26 

41.31 

41.36 

41.41 

41.47 

41.52 

41.57 

51.62 

41.67 

41.72 

41.78 

41.83 

41.88 

41.93 

41.99 

42.04 

42.09 

42.14 

42.19 

42.25 

42.30 

42.35 

42.40 

42.45 

42.51 

42.56 

42.61 

42.66 

42.72 

42.77 

42.82 

42.87 

42.93 

42.98 

43.03 

43.09 

43.14 

43.19 

43.24 

43.30 

43.35 

43.40 

43.45 

43.51 

43.56 

43.61 

43.66 

43.72 

43.77 

43.82 

43.88 

43.93 

43.98    44.04 

44.09 

44.14 

44.19 

44,25 

44.30 

44.35 

44.41 

44.46 

44.51  !  44.56 

44.62 

44.67 

44.73 

44.78 

44.83 

44.89 

44.94 

44.99 

45.05 

45.10 

45.15 

45.21 

45.26 

45.31 

45.37 

45.42 

45.47 

45.53 

45.58 

45.63 

45.69 

45.74 

45.79 

45.85 

45.90 

45.96 

46.01 

46.06 

46.12 

46.17 

46.22 

46.28 

46.33 

46.39 

46.44 

46.49 

46.55 

46.60 

46.66 

46.71 

46.76 

46.82 

46.87 

46.93 

46.98 

47.03 

47.09 

47.14 

47.20 

47.25 

47.31 

47.36 

47.41 

47.47 

47.52 

47.58 

47.63 

47.69 

47.74 

47.79 

47.85 

47.90 

47.96 

48.01 

48.07 

48.12 

48.18 

48.23 

48.28 

48.34 

48.39 

48.45 

48.50 

48.56 

48.61 

48.67 

48.72 

48.78 

48.83 

48.89 

48.94 

49.00 

49.05 

49.11 

49.16 

49.22 

49.27 

49.33 

49.38 

49.44 

49.49 

49.55 

49.60 

49.66 

49.71 

49.77 

49.82 

49.88 

49.93 

49.99 

50.04 

50.10 

50.15 

50.21 

50.26 

50.32 

50.37 

50.43 

50.48 

50.54 

50.59 

50.05 

50.71 

50.76 

50.82 

50.87 

50.93 

50.99 

51.04 

51.10 

61.15 

51.21 

51.26 

51.32 

51.38 

51.43 

51.49 

51.54 

51.60 

51.66 

51.71 

51.77 

51.82 

51.88 

51.93 

51.99 

52.05 

52.10 

52.16 

52.21 

52.27 

52.33 

52.38 

52.44 

52.50 

52.55 

52.61 

52.66 

52.72 

52.78 

52.83 

52.89 

52.95 

53.00 

53.06 

53.11 

53.17 

53.23 

53.28 

53.34 

53.40 

63.45 

53.51 

53.57 

53.62 

53.68 

53.74 

53.79 

53.85 

53.91 

43.96 

54.02 

54.08 

54.13 

54.19 

54.25 

54.30 

54.36 

54.42 

54.47 

54.53 

54.59 

54.64 

54.70 

54.76 

54.81 

54.87 

54.93 

54.98 

55.04 

55.10 

55.16 

55.21 

55.27 

55.33 

55.39 

55.44 

55.50 

55.56 

55.61 

55.67 

55.73 

55.79 

55.84 

55.90 

55.96 

56.02 

56.07 

56.13 

56.19 

66.25 

56.30 

56.36- 

56.42 

56.48 

56.53 

56.59 

56.63 

56.71 

56.76 

56.82 

56.88 

56.94 

56.99 

57.05 

57.11 

57.17 

57.23 

57.28 

57.34 

57.40 

57.  -16 

57.51 

57.57 

57.63 

57.69 

57.75 

57.80 

57.86 

57.92 

57.98 

58.04 

58.09 

58.15 

58.21 

58.27 

58.33 

58.38 

58.44 

58.50 

58.56 

58.62 

58.68 

58.73 

58.79 

68.85 

58.91 

58.97 

59.03 

59.09 

69.14 

59.20 

59.26 

59.32 

59.38 

59.44 

59.49 

59.55 

59.61 

59.67  , 

59.73 

59.79 

132  HYDRAULIC   AND   EXCAVATION    TABLES. 

Tal)le   4:2, — Three-halves  powers  of  numbers, 
1.50  to  19.99 — Continued. 


Number 

.00 

.01 

.03 

.03 

.04 

.05 

.0, 

.07    :    .08 

.09 

15.3 

59.85 

59.90 

59.96 

60.02 

60.08 

60.14 

60.20 

60.26 

60.32 

00.::.% 

15.4 

60.43 

60.49 

60.55 

60.61 

60.67 

60.73 

60.79 

GO.  8  5 

60.91 

(iO  .(•••- 

15.5 

61.02 

61.08 

61.14 

61.20 

61.26 

61.32 

61.38 

(51.44 

61.50 

61.  :"'I5 

15.6 

61.62 

61.67 

61.73 

61.79 

61.85 

61.91 

61.97 

62.03 

62.09 

62.1."» 

15.7 

62.21 

62.27 

62.33 

62.39 

62.45 

62.51 

62.57 

62.62 

62.68 

62,7  V 

15.8 

62.80 

62.86 

62.92 

62.98 

63.04 

63.10 

63.16 

63.22 

63.28 

63.  '4 

15.9 

63.40 

63.46 

63.52 

63.58 

63.64 

63.70 

63.76 

63.82 

63.  88 

63.01 

16.0 

64.00 

64.06 

64.12 

64.18 

64.24 

64.30 

64.36 

64.42 

64.48 

64.  '-I 

16.1 

64.60 

64.66 

64.72 

64.78 

64.84 

64.90 

64.96 

65.02 

65.08 

65.14 

16.3 

65.20 

65.26 

65.32 

65.38 

65.45 

65.51 

65.57 

65.63 

65.69 

65.7f» 

16.3 

65.81 

65.87 

65.93 

65.99 

66.05 

66.11 

66.17 

66.23 

66.29 

6(i.3:> 

16.4 

66.41 

66.48 

66.54 

66.60 

66.66 

66.72 

66.78 

66.84 

66.90 

66.  or, 

16.5 

67.02 

67.08 

67.15 

67.21 

67.27 

67.33 

67.39 

67.45 

67.51 

67.57 

16.6 

67.63 

67.69 

67.76 

67.82 

67.88 

67.94 

68.00 

68.06 

68.12 

G8.1* 

16.7 

68.25 

68.31 

68.37 

68.43 

68.49 

68.55 

68.61 

68.67 

68.74 

68.80 

16.8 

68.86 

68.92 

68.98 

69.04 

69.11 

69.17 

69.23 

69.29 

69.35 

69.43 

16.9 

69.48 

69.54 

69.60 

69.66 

69.72 

69.78 

69.85 

69.91 

69.97 

70.0:; 

17.0 

70.09 

70.15 

70.22 

70.28 

70.34 

70.40 

70.46 

70.53 

70.59 

70.(-r. 

17.1 

70.71 

70.77 

70.84 

70.90 

70.96 

71.02 

71.08 

71.15 

71.21 

71.27 

17.2 

71.33 

71.40 

71.46 

71.52 

71.58 

71.64 

71.71 

71.77 

71.83 

71.89 

17.3 

71.96 

72.02 

72.08 

72.14 

72.21 

72.27 

72.33 

72.39 

72.46 

72.52 

17.4 

72.58 

72.64 

72.71 

72.77 

72.83 

72.89 

72.96 

73.02 

73.08 

73.14 

17.5 

73.21 

73.27 

73.33 

73.40 

73.46 

73.52 

73.58 

73.65 

73.71 

73.77 

17.6 

73.84 

73.90 

73.96 

74.03 

74.09 

74.15 

74.21 

74.28 

74.34 

74.40 

17.7 

74.47 

74.53 

74.59 

74.66 

74.72 

74.78 

74.85 

74.91 

74.97 

75.04 

17.8 

75.10 

75.16 

75.22 

75.29 

75.35 

75.41 

75.48 

75.54 

75.80 

75.67 

17.9 

75.73 

75.80 

75.86 

75.92 

75.99 

76.05 

76.11 

76.18 

76.24 

76.30 

18.0 

76.37 

76.43 

76.49 

76.56 

76.62 

76.69 

76.75 

76.81 

76.88 

76.94 

18.1 

77.00 

77.07 

77.13 

77.20 

77.26 

77.32 

77.39 

77.45 

77.52 

77.58 

18.2 

77.64 

77.71 

77.77 

77.84 

77.90 

77.96 

78.03 

78.09 

78.16 

78.22 

18.3 

78.28 

78.35 

78.41 

78.48 

78.54 

78.61 

78.67 

78.73 

78.80 

78.8G 

18.4 

78.93 

78.99 

79.06 

79.12 

79.18 

79.25 

79.31 

79.38 

79.44 

79.51 

18.5 

79.57 

79.64 

79.70 

79.77 

79.83 

79.89 

79.96 

80.02 

80.09 

80.15 

18.6 

80.22 

80.28 

80.35 

80.41 

80.48 

80.54 

80.61 

80.67 

80.74 

80.80 

18.7 

80.87 

80.93 

81.00 

81.06 

81.13 

81.19 

81.26 

81.32 

81.39 

81.45 

18.8 

81.51 

81.58 

81.64 

81.71 

81.78 

81.84 

81.91 

81.97 

82.04 

82.10 

18.9 

82.17 

82.23 

82.30 

82.36 

82.43 

82.49 

82.56 

82.62 

82.69 

82.75 

19.0 

82.82 

82.88 

82.95 

83.02 

83.08 

83.15 

83.21 

83.28 

83.34 

83.41 

19.1 

83.47 

83.54 

83.61 

83.67 

83.74 

83.80 

83.87 

83.93 

84.00 

84.06 

19.2 

84.13 

84.20 

84.26 

84.33 

84.39 

84.46 

84.52 

84.59 

84.66 

84.72 

.    19.3 

84.79 

84.85 

84.92 

84.98 

85.05 

85.12 

85.18 

85.25 

85.32 

85.38 

19.4 

85.45 

85.51 

85.58 

85.65 

85.71 

85.78 

85.84 

8o.91 

85.98 

86.04 

19.5 

86.11 

86.18 

86.24 

86.31 

86.37 

86.44 

86.51 

80.57 

86.64 

86.71 

19.6 

86.77 

86.84 

86.91 

86.97 

87.04 

87.11 

87.17 

87.24 

87.31 

87.37 

-     19.7 

87.44 

87.50 

87.57 

87.64 

87.70 

87.77 

87.84 

87.90 

87.97 

88.04 

19.8 

88.10 

88.17 

88.24 

88.30 

88.37 

88.44 

88.51 

88.57 

88.64 

88.71 

19.9 

88.77 

88.84 

88.91 

88.97 

89.04 

89.11 

89.17 

89.24 

89.31 

89.38 

HYDRAULIC    AND   EXCAVATION    TAliLKS. 


133 


Table   43. — Squares,  cubes,  square  roots,  cube  roots,  reciprocals, 
and  area  and  circumference  of  circles  of  radius  N. 


N2 

Ns 

Nl 

H» 

1 

N 

TN2 

2  irN 

l 

1 

1.0000 

1.0000 

1.000000 

3.142 

6.283 

4 

8 

1.4142 

1.2599 

.5000  0 

12.566 

12.5G6 

9 

27 

1.7321 

1.4422 

.333333 

28.274 

18850 

16 

64 

2.0000 

1.5874 

.250000 

50.265 

25.133 

2$ 

125 

2.2361 

1.7100 

.200000 

78.540 

31.416 

36 

216 

2.4495 

1.8171 

.166667 

113.097 

37.699 

49 

343 

2.64o8 

1.9129 

.142857 

153.938 

43.982 

64 

512 

2.8284 

2.0000 

.125000 

201.062 

50.265 

81 

729 

3.0010 

2.0801 

.111111 

254.469 

56.549 

100 

1,000 

3.1623 

2.1544 

.100000 

314.159 

62.832 

121 

1,331 

3.3166 

2.2240 

.090999 

380.133 

69.115 

144 

1,728 

8.4641 

2.2894 

.083333 

452.389 

75.398 

169 

2,197 

3.6  56 

23513 

.076923 

530929 

81.681 

196 

2,744 

3.7417 

2.41)1 

.071429 

615.752 

87.965 

225 

3,375 

3.8730 

2.4662 

.066667 

706.858 

94.248 

256 

4,096 

4.0000 

2.5198 

.062500 

804.248 

100.531 

289 

4,913 

4.12:51 

2.5713 

.058824 

907.920 

106.814 

"  324 

5,832 

4.2426 

2.6207 

.055556 

1,017.876 

1x3.097 

361 

6,859 

4.3589 

2.6684 

.052632 

1,134.115 

1  19.381 

400 

8,000 

4.4721 

2.7144 

.050000 

1,256.637 

125.664 

441 

9,261 

4.5826 

2.7589 

.047619 

1,385.442 

131.947 

484 

10,648 

4.6904 

2.8020 

.O4.i455 

1,520.531 

138.230 

529 

12,167 

4.7958 

2.8439 

.043478 

1,661.9  3 

144.513 

576 

13,824 

4.8990 

2.8845 

.041667 

1,809  557 

1.00.796 

625 

15,625 

5.0000 

2.9240 

.040000 

1,963.495 

157.080 

676 

17.576 

5.0990 

2.9625 

.0384r,2 

2,123.717 

163.363 

729 

19.683 

51962 

3.0000 

.037037 

2,290.221  !  169.646 

784 

21.952 

5.2915 

3.0366 

.035714 

2,403  009    r5.i)29 

841 

24.389 

5.3852 

3.0723 

.034483 

2.642  079 

182.212 

900 

27,000 

5.4772 

3.1072 

.033333 

2,827.433 

188.496 

961 

29,791 

5.5678 

3.1414 

.032258 

3.019.071 

194.779 

1,024 

32.768 

5.6569 

3.1748 

.031250 

3,216  991 

201.062 

1,089 

35,937 

5.7146 

3.2075 

.030303 

3,421.194 

207.345 

1,156 

39,304 

5.8310 

3.2396 

.02J412 

3,631.681 

213628 

1,225 

42,875 

5.9161 

3.2711 

.028571 

3,848  451 

219.911 

1,296 

46,656 

6.0000 

3.3019 

.027778 

4,071.504 

226.195 

1,369 

50,653 

6.0^28 

3.33.2 

.027027 

4,300.840 

232.478 

1,414 

54.872 

6.1644 

33620 

.026.516 

4,536  4  0 

238.761 

1,521 

59.319 

6.2450 

33912 

.025641 

4,778  362 

245044 

1,600 

64,000 

6.3246 

3.4200 

.025000 

5,026.548 

251.327 

1,681 

68,921 

6.4031 

3.4482 

.024390 

5.281  017 

257.611 

1,764 

74,088 

6.48  )7 

3.4760 

.023810 

5,  "-41.  770 

263.894 

1.849 

79,507 

6.5574 

3.5034 

.023256 

5,808.8  5 

270.177 

1,936 

85,184 

6.6332 

3.5303 

.022727 

6.082  123 

276.460 

2,025 

91,125 

6.7082 

3.5569 

.022222 

6.361.725 

282.743 

2,116 

97,3?>6 

6.7«23 

3.5830 

.021739 

6.617.610 

289.027 

2209 

103,823 

6  8557 

3.6088 

.OJ1277 

6.93  (.778 

295310 

2,304 

110,592 

6.9282 

3.6342 

.02:833 

7,23^.230 

301.593 

2,401 

117,619 

7.0000 

3.6593 

.020408 

7.542.9  4 

307.876 

2,500 

125,000 

7.0711 

3.6840 

.020000 

7,853  982 

314.159 

134 


HYDRAULIC   AND  EXCAVATION    TABLES. 


Table  43. — Squares •,  cubes,  square  roots,  cube  roots,  reciprocals, 
and  area  and  circumference  of  circles  of  radius  N. — Continued. 


N 

N2 

N3 

N* 

N* 

1 

N 

irN2 

27T> 

51 

2,601 

132,651 

7.1414 

3.7084 

.019607 

8,171.283 

320. 

52 

2,704 

140,608 

7.2111 

3.7325 

.019231 

8,494.867 

326. 

53 

2,809 

148.877 

7.2801 

3.7563 

.018868 

8,824.734 

333. 

54 

2.916 

157,464 

7.3485 

8.7798 

.018519 

9,160.884 

339. 

55 

3,025 

166,375 

7.4162 

3.8030 

.018182 

9,503.318 

345. 

56 

3,136 

175.616 

7.4833 

3.8259 

.017857 

9,a52.035 

351. 

57 

3,249 

185,193 

7.5498 

3.8485 

.017544 

10,207.035 

358. 

58 

3,364 

195.112 

7.6158 

3.8709 

.017241 

10.56S.318 

364. 

59 

3,481 

205,379 

7.6811 

3.8930 

.016919 

10,935  884 

370. 

60 

3,600 

216,000 

7.7460 

3.9149 

.016667 

11,309.734 

376. 

61 

3.721 

226,981 

7.8102 

3.9365 

.016393 

ll,689.8r,6 

383. 

62 

3,844 

238,328 

7.8740 

3.9579 

.016129 

12,076.282 

389. 

63 

3,969 

250,047 

7.9373 

3.9791 

.015873 

12.4C8.!'8l 

395. 

64 

4.096 

262,144 

8.0000 

4.0000 

.015C25 

12,867.964 

402. 

65 

4,225 

274,625 

8.0623 

4.0207 

.015385 

13,273.229 

408. 

66 

4,356 

287.496 

8.1240 

4.0412 

.015156 

13,684.778 

414. 

67 

4,489 

30),763 

8.1854 

4.0615 

.014925 

14,102.610- 

420. 

68 

4,624 

314432 

8.2462 

4.0817 

.011706 

14,526.725 

427. 

69 

4,761 

328,509 

8.30R6 

4.1016 

.014493 

14,957.123 

433. 

70 

4,900 

343,000 

8.3666 

4.1213 

.014286 

15,393.804 

439. 

71 

5.041 

357.911 

8.4261 

4.1408 

.014085 

15,836.769 

446. 

72 

5,184 

873,248 

8.4853 

4.1602 

.01:.  889 

16,2^6.017 

452. 

73 

5,329 

38';),017 

8.5440 

41793 

.013R99 

16,741.547 

458. 

74 

5,476 

40o  2'4 

8.6023 

4.1983 

.013514 

17,203.362 

464. 

75 

5,625 

421,875 

8.6603 

4.2172 

.013333 

17,671.459 

471. 

76 

5,776 

438,976 

8.7178 

4.2358 

.013158 

18,145.839 

477. 

77 

5,929 

456.533 

8.7750 

4.2543 

.012987 

18,626.503 

483. 

78 

6,084 

474,552 

8.8318 

4.2727 

.01-821 

19.113.450 

490. 

79 

6.241 

493,039 

88882 

42908 

.012^58 

19,606.680 

486. 

80 

6,400 

512.000 

8.9443 

4.3089 

.012500 

20,106.193 

502. 

81 

6.561 

531,441 

9.0000 

4.3267 

.012346 

20,611.990 

508. 

82 

6,724 

551,368 

9.0554 

43145 

.012195 

21.124.CC9 

515.' 

83 

6,889 

571,787 

9.1104 

4.  3  '21 

.012048 

21,612.432 

521. 

84 

.   7.056 

592,704 

9.1652 

4.3795 

.011905 

22.167.078 

527. 

85 

7,225 

614,125 

9.2195 

4.3968 

.011765 

22,698.007 

534.1 

86 

7,396 

636,056 

9.2736 

4.4140 

.011628 

23,235.220 

540. 

87 

7,5(9 

658,5'  i3 

9.3274 

4.4310 

.011494 

23.7,8715 

516. 

88 

7J44 

681.472 

9.3808 

4.4  '80 

.011364 

24.328  49t 

552 

89 

7,921 

704,969 

9.4340 

4.4647 

.011236 

24.884  556 

559  '. 

90 

8,100 

729,000 

9.4868 

4.4814 

.011111 

25,446.901 

MB: 

91 

8,281 

753.571 

9.5394 

4.4979 

.010989 

26,015.529 

571.' 

92 

8,464 

778.688 

9.5917 

4.5144 

.010870 

26.590.441 

578.( 

93 

8,649 

804.357 

9.6437 

45307 

.010753 

27,171.635 

584.J 

94 

8,836 

830,5°4 

9.6954 

45468 

.010638 

27,759.113 

590.< 

95 

9,025 

857,375 

9.7468 

4.5629 

.010526 

28,352.874 

696.' 

96 

9,216 

884,736 

9.7980 

4.5789 

.010417 

28,952.918 

60S.1 

97 

9,409 

912,673 

9.8489 

4.5947 

.010309 

29,559.246  i     609.' 

98 

9,604 

941,192 

98995 

4.6104 

.010204 

30,171.856        615.' 

99 

9,801 

970,299 

9.9499 

4.6261 

.010101 

30,790.750  1     622.( 

too 

10,000 

1,000.000 

10.0000 

4.6416 

.010000 

31.415927  !     628.J 

HYDRAULIC    AND   EXCAVATION    TABLES. 


135 


Table   43. — Squares,  cubes,  square  roots,  cube  roots  and  recip- 
rocals.— Continued. 


N 

N2 

N3 

N* 

*l 

1 

N 

101 

10.201 

1,030,301 

10.0498756 

4.6570095 

.009900990 

102 

10,404 

1,061,208 

10.099oW9 

4.6723287 

.00980S922 

103 

10,609 

1,092,727 

10.1488916 

4.6875482 

.009708738 

104 

10,816 

.   1,124,864 

10.1980390 

4.7026694 

.009615385 

105 

11,025 

1,157,625 

10.2469508 

4.7176940 

.009523810 

106 

11,236 

1,191,016 

10.2956301 

4.7326235 

.0094a3962 

107 

11,449 

1,225,043 

10.3440804 

4.7474-  94 

.Ot'9.,45;94 

108 

11,664 

1,259,712 

10.3923048 

4.76221  32 

.009259259 

109 

11,881 

1,295,029 

10.4403065 

4.77G8562 

.009174:412 

110 

12,100 

1,331.000 

10.4880885 

4.7914199 

.009090909 

111 

12,321 

1.367,fi31 

10.5356538 

4.8058955 

.009009009 

113 

12,544 

1,404,928 

10.5830052 

4.8202845 

.008928571 

113 

12,769 

1.442.S97 

10.6301458 

4.8345881 

.008849558 

114 

12,996 

1,481,544 

10.6770783 

4.84880"6 

.008771930 

115 

13,225 

1,520,875 

10.7238053 

4.8629442 

.008695652 

116 

13,456 

1,560,896 

10.7703296 

4.8769990 

.008620690 

117 

13,689 

1,601,613 

108166538 

4.8909732 

.008547009 

118 

13,924 

1,643,032 

108627805 

4.9048681 

.008474576 

119 

14,161 

1,685.159 

10.9087121 

4.91*6847 

.008403361 

12O 

14,400 

1,728,000 

10.9544512 

4.9324242 

.008333333 

121 

14,641 

1,771,561 

11  .0000000 

4.9160874 

.008264463 

122 

14,884 

1,815,848 

11.0453610 

4.95y6757 

.008196721 

123 

15,129 

1,860,867 

11.0905365 

4.9731898 

.008130081 

124 

15,376 

1,906,624 

ll.ia','5287 

4.9866310 

.008064516 

125 

15,625 

1,953,125 

11.1803399 

5.0000000 

.008000000 

126 

15,876 

2.000,376 

11.2249722 

5.0132979 

.007936508 

127 

16,129 

2.048.&-3 

ll.  2694277 

5.0265257 

.007874016 

128 

16,384 

2,097,152 

11.3137085 

5.0396842 

.007812500 

129 

16,641 

2,146,689 

11.3578167 

5.0527743 

.007751938 

130 

16,900 

2,197,000 

11.4017543 

5.0657970 

.007692308 

131 

17,161 

2,248.091 

11.4455231 

5.0787531 

.007633588 

132 

17,424 

2,299,968 

11.4891253 

6.0916434 

.007575758 

133 

17,689 

2,352,637 

11.5325626 

5.1044687 

.007518797 

134 

17,9-56 

2,406,104 

11.5758369 

5.1172299 

.007462687 

135 

18,225 

2,460,375 

11.6189500 

5.1299278 

.007407407 

136 

18,496 

2,515,456 

11.6619038 

5.1425632 

.007352941 

137 

18,769 

2,571.353 

11.7046999 

5.1551367 

.007299270 

138 

19,044 

2,628,072 

11.7473401 

5.1676493 

.007246377 

139 

19.321 

2,685,619 

11.7898261 

5.1801015 

.007194245 

14O 

19,600 

2,744,000 

11.8321596 

5.1924941 

.007142857 

141 

19,881 

2,803,221 

11.8743421 

5.2048279 

.007092199 

142 

20.164 

2,863,288 

11  .9163753 

5.2171034 

.007042254 

143 

20,449 

2,924,207 

119582607 

5.229o215 

.006993007 

144 

20,736 

2,985.984 

12.0000000 

5.241  4.«28 

.006944444 

145 

21,025 

8,048,625 

12.0415946 

5.2535879 

.006896552 

146 

•21,316 

3,112,136 

12.0830460 

5.2656374 

.006849315 

147 

21,609 

3,176,523 

12.1243557 

5.2776321 

<0068u2721 

148 

21,904 

8,241,792 

12.1655251 

5.2895725 

.006756757 

149 

22,201 

3,307,949 

12.2065556 

5.3014592 

.006711409 

150 

22,500 

:j.:J7r>,(K)0 

12.247-1487 

6.8132928 

.006666667 

136 


HYDRAULIC   AND  EXCAVATION    TABLKS. 


Table   43. — Squares,  cubes,  square  roofs,  cube  roots,  and  recip- 
rocals— Continued. 


.'N/V 

.'      N2 

N3 

Ni 

K* 

1 

N" 

151 

22,801 

3,442,951 

12.2882057 

5.3250740 

.006622517 

153 

23,104 

3,511,808 

12.3288280 

5.3368033 

.006.578947 

153 

23,409 

3,581.577 

12.3693769 

5.3484812 

.006535948 

154 

23,716 

3,652,264 

12.4096736 

5.3601084 

.006-193506 

155 

24,025 

3,723.875 

12.4498(j9G 

5.3716854 

.006-151613 

156 

24.336 

3,796,416 

12.4899960 

5.3832126 

.006410256 

157 

24,649 

3.869  893 

12.5299641 

5.3946907 

.00i»3li9427 

158 

24,964 

3,944,312 

12  5698051 

5.4001202 

.000329114 

159 

25,281 

4,019.079 

12.6095202 

5.4175015 

.006289308 

16O 

25,600 

4,090.(M.O 

12.6491106 

5.4288352 

.006250000 

161 

25,921 

4,173.281 

12.6885775 

5.4401218  i 

.006211180 

162 

26,244 

4,251.528 

12.7279221 

5.4513618  |. 

.006172840 

163 

26,569 

4,330,747 

12.7671453 

5.4625556  1 

.006134%9 

164 

26,896 

4,410.944 

12.8062485 

5.47371  i37    ' 

.006097561 

165 

27,225 

4,492,125 

12.8452326 

5.4848066 

.006060606 

166 

27,556 

4.574,2% 

12.8840987 

5.4958647 

.0060240% 

167 

27,889 

4,657,463 

12.9228480 

5.5068784 

.005988024 

168 

28,224 

4,741,632 

12.%14814 

5.5178i84 

.005952381 

169 

28,561 

4,826,809 

13.0000000 

5.5287748 

.005917160 

170 

28,900 

4,913,000 

13.0384048 

5.5396583 

.005882353 

171 

29,241 

5,000,211 

13.0766968 

5.5504991 

.005847953 

173 

29,584 

5,088,448 

13.1148770 

5.5612978 

.005813953 

173 

29.929 

5,177,717 

13.1529464 

5.5720546 

.005780347 

174 

30.276 

5,268,024 

13.1909060 

5.5827702 

.005747126 

175 

30,625 

5,359,375 

13.2287566 

5.5934447 

.005714286 

176 

30.976 

5,451,776 

13.2664992 

5.6040787 

.005681818 

177 

31,329 

5,545,233 

13.3041347 

6.6146724 

.005049718 

178 

31.684 

5.C39.752 

13.3416641 

5.6252263 

.005617978 

179 

32,041 

5,735.339 

13.3790882 

5.6357408 

.005586592 

180 

32,400 

5,832,000 

13.4164079 

5.6462162 

.005555556 

ill 

32.761 
33,124 

5.929,741 

6,028.568 

13.4536240 
13.49J7376 

5.6566528 
5.6670511 

.005524862 
.005494505 

183 

33.489 

6,128,487 

13.5277493 

5.6774114 

.005464481 

184 

33,8.56 

6,229,504 

13.5646600 

5.6S77340 

.005434783 

185 

34,225 

6,331,625 

13.6014705 

5.698U192 

.005405405 

186 

31,5% 

6,434.856 

13.6381817 

5.7082675 

.005376344 

187 

34.969 

6,539,203 

13.6747943 

5.7184791 

.005347594 

188 

35,344 

6,644,672 

13.7113092 

5.7286543 

.005319149 

189 

35.721 

6.751,269 

13.7477271 

5.7387936 

.005291005 

190 

36,100 

6.859,000 

13.7840488 

5.7488971 

.005263158 

191 

86,481 

6,%7,871 

13.8202750 

5.7589652 

.005235602 

192 

86,864 

7,077,888 

138564065 

5.7689982 

.005208333 

193 

37,249 

7,189,057 

13.8924440 

5.7789966 

.005181347 

194 

37,636 

7,301,384 

139283883 

5.7889604 

.005154639 

195 

38,025 

7,414,875 

13.9642400 

5.7968900 

.005128205 

196 

38,416 

7,529,536 

14.0000000 

5.8087*57 

.005102041 

197 

38,809 

7,645,373 

14.0856688 

5.8186479 

.005076142 

198 

39,204 

7,762,392 

14.0712473 

5.8284767 

.005050505 

199 

39,610 

7,880,599 

14.1067360 

5.83^2725 

.005025126 

300 

40,000 

8,000,000 

14.1421356 

5.8480355 

.005000000 

HYDRAULIC  AND  EXCAVATION   TABLES. 


137 


Table  43. — Squares,  cubes,  square  roots, 
rocals. — Continued. 


cube  roots,  and  recip- 


N 

N2 

N3 

N* 

N* 

1 

N 

301 
303 
203 
204 
305 

40,401 
40,804 
41,209 
41,616 
42,025 

8.120.601 
8,242,408 
8,365.427 
8.489.664 
8,615,125 

14.1774469 
14.2126704 
14.2478068 
14.2828569 
14.3178211 

5.8577660 
5.8674643 
5.8771307 
5.88676*3 
6.8963685 

.004975124 
.004950495 
.004926108 
.001901%! 
.004878049 

300 
307 
308 
309 
21O 

42,436 

42,849 
43,264 
43,681 
44,100 

8,741,816 
8,869,743 
8,998,912 
9.129,329 
9,261,000 

14.3527001 
14.3874946 
14.4222051 
14.4568323 
14.4913767 

5.9059406 
5.9154817 
5.9249921 
5.9344721 
5.9439220 

.004854369 
.004830918 
.004807692 
.004784K89 
.004761905 

311 
313 
313 
314 
315 

44,521 
44,944 
45,369 
45,7% 
46,225 

9,393,931 
9.528,128 
9.663,597 
9,«00,344 
9,938.375 

14.5258390 
14.56021i>8 
14.5945195 
14.6287388 
14.6628783 

5.9533418 
5.9627320 
5.9720926 
5.9814240 
5.9907264 

.004739336 
.004716981  : 
.004694836  ; 
.004672897  J 
.004651163  ! 

316 
317 
318 
319 
33O 

46,656 
47,089 
47.524 
47,961 
48,400 

10.077.696 
10.218.313 
10,360,232 
10,503,459 
10,648,000 

14.6969385 
14.731)9199 
14.7648231 
14.7986486 
14.8323970 

6.0000000 
6.0092450 
6.0184617 
6.0276502 
6.0368107 

.004629630 
.004608295 
.004587156 
.004566210 
.004545455 

331 

333 
333 
334 
335 

48,841 
49,284 
49,729 
50,176 
50,625 

*  10.793,861 
10.941,048 
11.089.567 
11,239,424 
11,390,625 

14.86f.0687 
14  8996644 
14  9331845 
14.9666295 
15.0000000 

6.0459435 
6.0550489 
6.0641270 
6.0731779 
6.0822020 

.004524887 
.004504505 
.004484305 
.004464286 
.004444444 

336 
337 
338 
339 
330 

51,076 
51,529 
51,984 
52.441 
52,900 

11,543,176 
11.697.083 
11,852.352 
12.008.989 
12,167,000 

15.03329R4 
15.0665192 
15.0996689 
15.1327460 
15.1657509 

6.0911994 
6.10017U2 
61091147 
6.1180332 
6.1269257 

.004424779 
.004405286 
.004385965 
.004860812 
.004347826 

331 
333 
333 
334 
335 

53.361 
53.824 
54,289 
54.756 
55,225 

12,326.391 
12.487.168 
12.649.337 
12,812,9^4 
12,977,875 

15.1986842 
15.2315462 
15.2643375 
15.2970585 
15.3297097 

6.1357924 
6.144(^337 
6.1534495 
6.1622401 
6.1710058 

.004329004 
.004310345 
.004291845 
.004273504 
.004255319 

336 
337 
338 
239 
24O 

55.696 
56,169 
56,644 
57,121 
57,600 

13,144,256 
13,312,053 
13.481.272 
13,651  .919 
13,824,000 

15.3622915 
15.394K043 
15.4272486 
15.4596248 
15.4919J34 

6.1797466 
6.18*4628 
61971544 
6.2058218 
6.2144650 

.004237288 
.004219409 
.004201681 
.004184100 
.004166667 

341 
342 
343 
344 
345 

58,081 
58.564 
59,049 
59,536 
60,025 

13.997,521 
14,172.488 
14.348,907 
14.526,784 
14,706,125 

15.5241747 
15.5563492 
15.5884573 
15.6204994 
15.6524758 

6.2230813 
6.2316797 
6.2402515 
6.2487998 
6.2573248 

.004149378 
.004132231 
.004115226 
.004098361 
.004081633 

346 
347 
348 
249 
350 

60,516 
61,009 
61,504 
62,001 
62.500 

14,886,936 
15,069,223 
15.252,992 
15,438,249 
15,625,000 

15.6843871 
15.7162336 
15.7480157 
15.7797338 
15.8113883 

6.2658266 
6.2743054 
6.2827613 
6.2911946 
6.2996053 

.004065041 
.004048583 
.004032258 
.004016064 
.004000000 

138 


HYDKAULIC   AND  EXCAVATION   TABLES. 


Table   43. — Squares,  cubes,  square  roots,  cube  roots,  and  recip- 
rocals. — Continued. 


N 

N2 

N3 

N* 

N* 

1 

N 

251 

63.001 

15,813,251 

15.8429795 

6.3079935 

.003P84061 

252 

63,504 

16,003,008 

15.874.0,9 

6.3163  ,96 

.003968254 

253 

64,009 

16,194,277 

15.9059737 

6.3247U35 

.003952569 

854 

64,516 

16,387,OT>4 

15.9373775 

6.3330256 

.003937008 

255 

65,025 

16,581,375 

15.9687194 

6.3413257 

.003921569 

256 

65.536 

16,777,216 

16.0000000 

6.3496042 

.003906250 

257 

66,049 

16,974,593 

16.0312195 

6.3578611 

.003891051 

258 

66,564 

17,173.512 

16.0623784 

6.3660968 

.003875969 

259 

67,081 

17.373,979 

16.0934769 

6.3743111 

.003861004 

26O 

67,600 

17,576,000 

16.1245155 

6.382,5043 

.003846154 

261 

68,121 

17,779.581 

16.1554944 

6.3906765 

.003831418 

262 

68,644 

17.984.72S 

16.1864141 

6.3'.;88279 

.003816794 

263 

69,169 

18.191,447 

16.2172747 

6.40695S5 

.0  3802281 

264 

69,696 

18,399,744 

16.2480768 

6.4150687 

.003787879 

265 

70,225 

18.609,625 

16.2788206 

6.4231583 

.003773585 

266 

70,756 

18.821,096 

16.3095064 

6.4312276 

.00375939* 

267 

71,289 

19,034.163 

16.34ul346 

6.4392767 

.003745318 

268 

71,824 

19,248,832 

16.3707055 

6.4473057 

.003731313 

269 

72,361 

19.465,109 

16.4012195 

6.4553148 

.003717472 

270 

72,900 

19,683,000 

16.4316767 

6.4633041 

.003703704 

271 

73,441 

19,902,511 

16.4620776 

6.4712736 

.003690037 

272 

73,984 

20,123,648 

16.4924225 

6.4792236 

.003676471 

273 

74.529 

20,346,417 

16.5227116 

6.4871541 

.003663004 

274 

75.076 

20,570.824 

16.5529454 

6.4950653 

.003649635 

275 

75,625 

20,796,875 

16.5831240 

6.5029572 

.003636364 

276 

76,176 

21,024,576 

16.6132477 

6.5108300 

.003623188 

277 

76,729 

21,253,933 

16.6433170 

6.5186839 

.003610108 

278 

77,284 

21,484,952 

16.6733320 

6  52651^9 

.003597122 

279 

77,841 

21  717,639 

16.7032931 

6.5313351 

.00a584229 

280 

78,400 

21,952,000 

16.7332005 

6.5421326 

.003571429 

281 

78,961 

22,18°  .041 

16,7630546 

6.5499116 

.003558719 

282 

79,524 

22,425,768 

16.7928556 

6.5576722 

.003546099 

283 

80,089 

22,665,187 

16.8226038 

6.565414  t 

.003533569 

284 

80,656 

22,906,304 

168522995 

6.5731385 

.003521127 

285 

81,225 

23,149,125 

16.8819430 

6.5808443 

.003508772 

286 

81,796 

23,393,656 

16.9115345 

6.5885323 

.003496503 

287 

82,369 

23,639,903 

16.9410743 

6.5962023 

.003484321 

288 

82.944 

23,887,872 

16.9705627 

6.6038515 

.003472222 

289 

83,521 

24,137,569 

17.0000000 

6.6114890 

.003460208 

29O 

84,100 

24,389,000 

17.0293864 

6.6191060 

.003148276 

291 

84,681 

24,642.171 

17.0587221 

6.62670-54 

.003136426 

292 

85,264 

24,897,088 

17.0880075 

6.6342874 

.00342465H 

293 

85,849 

25,153,757 

17.1172428 

6.6418522 

.0034129* 

294 

86,436 

25,412,1*4 

17.1464282 

6.649399S 

.031(1361 

295 

87,025 

25,672,375 

17.1755640 

6.6569302 

.003389831 

296 

87,616 

25.934,336 

17.2016505 

6.6644437 

.003378378 

297 

88,209 

26.193,073 

17.2336879 

6.6719403 

.003367003 

•498 

88,804 

26.463,592 

17.2626765 

6.6791200 

.003355705 

299 

89,401 

26,730,899 

17.2916165 

6.68S<C831 

.003344432 

3OO 

90,000 

27.000,000 

17.3205081 

6.6913295 

.003333333 

HYDRAULIC   AND  EXCAVATION    TABLES. 


139 


Table  43. — Squares,  cubes,  square  roots,  cube  roots,  and  recip- 
rocals— Continued. 


N 

N2 

N3 

iD 

Nl 

1 

N 

301 
303 
303 
304 
305 

90,601 
91.204 
91,809 
92,416 
93,025 

27,270.901 
27,543,608 
27,818,127 
28,094,464 
28,372,625 

17.3493516 
17.3781472 
17.4068952 
17.4355958 
17.4642492 

6.7017593 
6.7091729 
6.7165700 
6.7239508 
6.7313155 

.003322259 
.003311258 
.003300330 
.003289474 
.003278689 

306 
307 
308 
309 
310 

93,636 
94,249 
94,864 
95,481 
96,100 

28,652,616 
28,934.443 
29,218,112 
29,503,629 
29,791,000 

17.4928557 
17.5214155 
17.5499288 
17.5783958 
17.6068169 

6.7386641 
6.7459967 
6.7533134 
(5.7606143 
6.7678995 

.003267974 
.003257329 
.003246753 
.003236246 
.003225806 

311 
313 
313 
314 
315 

96,721 
97,344 
97,969 
98,596 
99,225 

30,080,231 
30,371,328 
30,664.297 
30,959,144 
31,255,875 

17.6351921 
17.6635217 
17.6918060 
17.7200451 
17.7482393 

6.7751690 
6.7824229 
6.7896613 
6.7968844 
6.8040921 

.003215434 
.003205128 
.003194888 
.003184713 
.003174603 

316 
317 
318 
319 
320 

99,856 
100,489 
101,124 
101,761 
102,400 

31,554,4% 
31,855.013 
32,157,432 
32,461,759 
32,768,000 

17.7763888 
17.8044938 
17.8325545 
17.8605711 
17.8885438 

6.8112847 
6.8184620 
6.8256242 
6.8327714 
6.8399037 

.003164557 
.00315-1574 
.003144654 
.00313479(5 
.003125000 

321 
323 
333 
334 
335 

103,041 
103,684 
104,329 
104,976 
105,625 

33,076,161 
33,386,248 
33,698,267 
34,012,224 
34,328,125 

17.9164729 
17.9443584 
17.9722008 
18.0000000 
18.0277564 

6.8470213 
6.8541240 
6.8612120 
6.8682855 
6.8753443 

.003115265 
.003105590 
.00o095975 
.003086420 
.003076923 

326 
337 
338 
339 
33O 

106,276 
106,929 
107,584 
108,241 
108,900 

34,645,976 
34,965,783 
35,287,552 
35.611,289 
35,937,000 

18.0554701 
18.0831413 
18.1107703 
18.1383571 
18.1659021 

6.8823888 
6  8S94188 
6.8964345 
6.9034359 
6.9104232 

.003067485 
.0030C8104 
.003048780 
.003039514 
.003030303 

331 
333 
333 
334 
335 

109,561 
110.224 
110,8^9 
111,556 
112,225 

36,264,691 
36.594,368 
36,926.037 
37,259.704 
37,595,375 

18.1934054 
18.2208672 
18.2482876 
18.275C669 
18.3030052 

6.9173964 
6.9243556 
6.9318008 
69382321 
6.9451496 

.003021148 
.003012048 
.003003003 
.002994012 
.002985075 

336 
337 
338 
339 
340 

112,896 
113,509 
114.244 
114.921 
115,600 

37,933,056 
38,272,753 
38,614,472 
38,958,219 
39,304,000 

18.3303028 
18.3575598 
18.3847763 
18.4119526 
18.4390889 

6.9520533 
6.9589434 
6.9658198 
6.9726826 
6.9795321 

.002976190 
.002967359 
.002958r)80 
.002949853 
.002941176 

341 
343 
343 
344 
345 

116.281 
116.91H 
117,649 
118,336 
119.025 

39,651,821 
40,001,688 
40,353,607 
40,707,584 
41,063,625 

18.4661853 
18.4932420 
18.5202592 
18.5472370 
18.5741756 

6.986H681 
69931906 
7.0000000 
7.0067962 
7.0ia3791 

.002932551 
.002923977 
.002915452 
.002906977 
.002898551 

346 
347 
348 
349 
350 

119,716 

120,409 
121,104 
121,801 
122.500 

41,421,736 
41,781,923 
42,144,192 
42,508,549 
42.875.000 

18.6010752 
18.6279360 
18.6547581 
18.6*15417 

18.70828C9 

7.0203490 
7.0271058 
7.0338497 
7.0405806 
7.0472987 

.002890173 
.002881844 
.002873563 
.002865330 
.002857143 

140 


HYDRAULIC   AND   EXCAVATION    TABLES. 


Table    43. — Squares,  cubes,  square  roots,  cube  roots,  and  recip- 
rocals.— Continued. 


N 

N2 

N3 

N* 

Ni 

1 
N 

351 
352 
353 
354 
355 

123,201 
123,904 
124,609 
125,316 
126,025 

43,243,551 
43,614,21.8 
43,986,977 
44.361,864 
44,738,875 

18.7:549940 
18.7616630 
18.78-2942 
18.814^877 
18.8414437 

7.0540041 
7.0606967 
7.0673767 
7.0740440 
7.0806988 

.002849003 
.002840909 

.0028:52861 
.002824859 
.002816901 

356 
357 
358 
359 
360 

126,736 
127,449 
128,164 
128,881 
129,600 

45,118,016 

45,499,293 
45.8S2.712 
46,268,279 
46,656,000 

18.8679623 
18.894  1436 
18.9208879 
18.9472953 
18.9736660 

7.0873411 
7.0939709 
7.1005885 
7.1071937 
7.1137866 

.002808989 
.002801120 
.002793296 
.002785515 
.002777778 

361 
362 
363 
364 
365 

130,321 
131.044 
131,769 
132,496 
133,225 

47,045,881 
47,437,1-28 
47,832,147 
48,228,544 
48,627,125 

19.0000000 
19.0262976 
19.0525589 
19.0787840 
19.1049732 

7.1203674 
7.1269360 
7.1334925 
7.1400370 
7.1465695 

.002770083 
.002702431 
.002754821 
.002747253 
.002739726 

366 
367 
368 
369 
370 

133,956 
134,689 
135,424 
136,161 
136,900 

49,027,896 
49,430,863 
49,836,032 
50,243,409 
50,653,000 

19.1311265 

19.1572441 
19.1833261 
19.2093727 
19.2353841 

7.1530901 
7.1595988 
7.1660957 
7.1725809 
7.1790544 

.002732240 
.0027247% 
.002717391 
.002710027 
.002702703 

371 
372 
373 
374 
375 

137,641 
138,384 
139,129 
139,876 
140,625 

51,064,811 
51,478,848 
51,895,117 
52.313,624 
52,734,375 

19.2613603 
19.2873015 
19.3132079 
19.3390796 
19.3649167 

7.1855162 
7.1919663 
7.19<1050 
7.2048322 
7.2112479 

.002695418 
.002688172 
.00268'  I«J65 
.002673797 
.002666667 

376 
377 
378 
379 
380 

141,376 
142,129 
142,884 
143.641 
144,400 

53,157.376 
53,582,633 
54.010,152 
54,439.9;i9 
54,872,000 

19.3907194 
19.4164878 
19.4422221 
19.4679223 
19.4935887 

7.2176522 
7.2240450 
7.2304L68 
7.2367972 
7.2431565 

.002659574 
.002652520 
.002645503 
.00263P522 
.002631579 

381 
382 
383 
384 
385 

145,161 
145,924 
146,689 
147,456 
148,225 

55,306,341 

55,742,968 
56,181,887 
56.623,104 
57,066,625 

19.5192213 
19.54482C3 
19.5703858 
19.5959179 
19.6214169 

7.2495045 
7  2558415 
7.2621675 
7.2684824 
7.2747864 

.002624672 
.002617801 
.0(12610966 
,002f04167 
.002597403 

386 
387 
388 
389 
390 

148,996 
149.769 
150,544 
151,321 
152,100 

57,512,456 
57,960,603 
58,411,072 
5S.863.869 
59.319,000 

19.6468827 
19.6723156 
19.6977156 
19.723(i829 
19.7484177 

7.2810794 
7.2873617 
7.2936330 
7.2998936 
7.3061436 

.002590674 
.002583979 
.002577320 
.002570694 
.002564103 

391 
392 
393 
394 
395 

152,881 
153,664 
154,449 
155,236 
156,025 

59,776.471 
60,236,288 
60.698,457 
61,162.984 
61,629,875 

19.7737199 
19.798..  899 
19.8242276 
19.8494332 
19.8746069 

7.3123*28 
7.3186114 

7.3248295 
7.3310369 
7.3372339 

.002557545 
.002551020 
.002544529 
.002538071 
.OU2531646 

396 
397 
398 
399 
400 

156,816 
157.609 
158,404 
159,201 
160,000        1 

62,099,136 
62,570,773 
63,044.792 
63,521,199 
64,000,000 

19.8992487 
19.9248588 
19.9499373 
19.9749«44 
20.0000000 

7.3434205 
7.3495966 
7.3557624 
7.3619178 
7.3680630 

.002E2S253 

.C02518892 
.002512563 
.002506260 
.002500000 

HYDRAULIC   AND   EXCAVATION    TABLES. 


141 


Table  43. — Squares,  cubes,  square  roots,  cube  roots,  and  recip- 
rocals— Continued. 


N 

N2 

N3                 N* 

M*                         * 

N'                 y 

401 

160,801 

64,481,201 

20.0249844 

7.3741979         .002493706 

403 

161,604 

64,964.808 

20.0499377 

7.3803227         .002487.-<B 

403 

162,409 

65.450.827 

20.0748599 

7.3864373 

.002481890 

404 

163,216 

65.939,264 

20.0997512 

7.3925418 

.002475248 

405 

164,025 

66,430.125 

20.1246118 

7.3986363 

.002469136 

406 

164,836 

66,923.416 

20.1494417 

7.4047206         .0024eBi)f>J 

407 

165,649 

67,419,143 

20.1742410          7.4107950         .Ott.Mf.7ro:' 

408 

166,464 

67,917,312 

20.1990099    !      7.4168595 

.002*509*!.. 

409 

167,281 

68.417,929 

20.2237484 

7.4229142 

.0>244-it'ss 

410 

.    168,100 

68,921.000 

20.2484567 

7.4289589 

.00243902  t 

411 

168,921 

69,426.531 

20.2731349 

7.4349938 

.0024831  »!M> 

413 

169,744 

69,934,528 

20.2977831 

7.4410189 

.0024271S! 

413 

170,569 

70,444.9i>7 

20.3224014 

7.4470342 

.0024-2  l:;->s 

414 

171,396            70,957,944 

20.3469899 

7.4530399 

.00241517) 

415 

172,225 

71,473,375 

20.3715488 

7.4590359 

•002409639 

416 

173,056 

71,991,296 

20.3960781 

7.4650223         .00240381'; 

417 

173,889 

72,511,713 

20.4205779 

7.4709991     i     .0023980W 

418 

174,724 

73,034  632 

20.4450483 

7.4769664 

.00239234J 

419 

175,561 

73,560,059 

20.4694^95 

7.4829242 

.002386635 

430 

176,400 

74,088,000 

20.4939015 

7.4888724 

.002880952 

421 

177,241 

74,618,461 

20.5182845 

7.494S113 

.002375297 

433 

178,084 

75,151,448 

20.542(5386 

7.5007406 

.00236966K 

433 

178,929 

75,686.967 

20.5669638 

7.5066607 

.002364066 

434 

179,776 

76,225,024 

20.5912603 

7.5125715 

.002358491 

435 

180,625 

76,765,625 

20.6155281 

7.5184730 

.002352941 

436 

181,476 

77,308,776 

20.6397674 

7.5243652 

.00284741.* 

437 

1S2.329 

77,854,483 

20.6639783 

7.5302482 

.002341920 

438 

183,184 

78.402,752 

20.6881609 

7.5361221 

.00233644;* 

439 

184,041 

78,953,589 

20.7123152 

7.5419867 

.00233100-J 

430 

184,900 

79,507,000 

20.7364414 

7.5478423 

.002325581 

431 

185,761 

80,062,991 

20  7605395 

7.55368S8 

.00232018C, 

433 

186,624 

80,621,568 

20.7846097 

7.5595263 

.002314815 

433 

187,489 

81,182,737 

20.8086520 

7.5653548 

.002309469 

434 

188,356 

81,746,504 

20.8326667 

7.5711743 

.002304147 

435 

189,225 

82,312,875 

20.8566536 

7.5769849 

.002298851 

436 

190,096 

82,881,856 

20.8806130 

7.5827865 

.002293578 

437 

190,969 

83,453.453 

20.9045450 

7.5885793 

.002288330 

438 

191,844 

84,027,672 

20.9284495 

7.5943633 

.002283105 

439 

192,721 

84,604,519 

20.9523268 

7.6001385 

.002277904 

440 

193,600 

85.184,000 

20.9761770 

7.6059049 

.002272727 

441 

194.481 

85,766,121 

21.0000000 

7.6116626         .002267574 

443 

195,364 

86,350,888 

21.0237960 

7.6174116 

.002262443 

443 

196,249 

86,938,307 

21.0475652 

7.6231519 

.002257*36 

444 

197,136 

87,528,384 

21.0713075 

7.6288837 

.002252252 

445 

198,025 

88,121,125 

21.0950231 

7.6346067 

.002247191 

446 

198,916 

88,716,536 

21.1187121 

7.6403213 

.002242152 

447 

199,809 

89,314,623 

21.1423745 

7.6460272 

.00223713;. 

448 

200,704 

89.915,392 

21.1600105 

7.6517247 

.00223214:', 

449 

201,601 

90,518.849 

21.1893201 

7.6574138 

.002227171 

450 

202,500 

91,125,000 

21.3982084 

7.6630943 

.00222222-J 

HYDKAUL1C   AND   EXCAVATION    TABLES. 


Table   4:3. — Squares,  cubes,  square  roots, 
rocals — Continued . 


cube  roots,  and  rccip- 


N 

N2 

N3 

N* 

Ni 

1 
N 

451 

203,401 

91,733,851 

21.2367606 

7.H687665 

.002217295 

452 

204,304 

92,345,408 

21.2602916 

7.6744303 

.002212389 

453 

205,209 

92,959,677 

21.2837967 

7.68U0857 

.002207606 

454 

206,116 

93,576,664 

21.3072758 

7.6857328 

.00220264:3 

455 

207,025 

94,1%,375 

21.3307290 

7.6913717 

.002197802 

456 

207,936 

94,818,816 

21.3541565 

7.6970023 

.002192982 

457 

20S.849 

95,443,993 

21.3775583 

7.7026246 

.002188184 

458 

209,764 

93,071,912 

21.4009346 

7.708238H 

.0021834I*; 

459 

210,681 

96,702,579 

21.4242853 

7.713811S 

.002178649 

460 

211,600 

97,336,000 

21.4476106 

7.7194420 

.00217391:3 

461 

212,521 

97,972,181 

21.4709106 

7.7250325 

.002169197 

462 

213,444 

98,611,128 

21.4941853 

7.7306141 

.002164502 

463 

214,369 

99,252,847 

21.5174348 

7.7361877 

.    .002159827 

464 

215,2% 

99.897,344 

21  .5406592 

7.7417532 

.002155172 

465 

216,225 

100,544,625 

21.5638587 

7.7473109 

.002150538 

466 

217,156 

101,194,696 

21  .5870:331 

7.7528606 

.002145923 

467 

218.089 

101,847,563 

21.6101828 

7.7584023            .00214132* 

468 

219,024 

102,50:3,232 

21.6333077 

7.7639361            .002136752 

469 

219  961 

103,161,709 

2165IV4078 

7.7694620 

.002132196 

470 

220,900 

103,823,000 

21.6794834 

7.7749801 

.002127660 

471 

221,841 

104,487,111 

21.7025344 

7.7804904 

.002123142 

472 

222,784 

105,154,048 

21.7255610 

7.7859928 

.002118644 

473 

223,729 

10-5.823,817 

21.7485632 

7.7914875 

.002114165 

474 

224,676 

106,496,424 

21.7715411 

7.7969745 

.00210970.5 

475 

225,625 

107,171,875 

21.7944947 

7.8024538 

.002105263 

476 

226,576 

107,850,176 

21.8174242 

7.8079254 

.002100840 

477 

227,529 

108,531,833 

21.8403-297 

7.8133892 

.002096436 

478 

228,484 

109,215,a52 

21.8632111 

7.818845T. 

.002092050 

479 

229,441 

109,902,2:}9 

21.8860686 

7.8242942 

.002087683 

480 

230,400 

110,592,000 

21.9089023 

7.8297353 

.002083333 

481 

231,861 

111,284,641 

21.9317122 

7.8351688 

.002079002 

482 

232,324 

111.980,168 

21.9544984 

7.8405949 

.002074689 

483 

233,289 

112,678,587 

21.9772610 

7.8460134 

.00207039:: 

484 

234,256 

113,379,904 

22.0000000 

7.8514244 

.002066116 

485 

235,225 

114,084,125 

22.0227155 

7.8568281 

.00206185C. 

486 

236,196 

114,791,256 

22.0454077 

7.8622242 

.00205761:5 

487 

237,169 

115,501,303 

22.0680765 

7.8676130 

.002053388 

488 

238,144 

116,214,272 

22.0907220 

7.8729944 

.002049180 

489 

239,121 

116,930,169 

22.1133444 

7.8783684 

.002044990 

490 

240,100 

117,649,000 

22.1359436 

7.8837352 

.002040816 

491 

241,081 

118  370,771 

22.1585198 

7.8890946 

.002036660 

492 

242,064 

119,095,488 

22.1810730 

7.8944468 

.002032520 

493 

243.049 

119,823,157 

22.2036033 

7.8997917 

.002028398 

494 

244,036 

120,553,784 

22.2261108 

7.9051294 

.00202429! 

495 

245,025 

121,287,375 

22.2485955 

7.9104599 

.002020202 

496 

246,016 

122,023.936 

22.2710575 

7.9157832 

.002016129 

497 

247,009 

122,763,473 

22.2934968 

7.9210994 

.002012072 

498 

248,004 

123,505,992 

22.3159136 

7.9264085 

.002IJ08032 

499 

249.001 

124,251,499 

22.3383079 

7.9317104 

.002004008 

600 

250.000 

125,000.000 

22.3606798 

7.9370053 

.002000000 

HYDRAULIC   AND   EXCAVATION    TABLES. 


143 


Table   43. — Squares,  cubes,  square  roots,  cube  roots,  and  recip- 
rocals— Continued . 


N 

N2 

N3 

N* 

Ni 

1 

~N 

501 
503 
5C3 
504 
505 

251.001 
252.L04 
253,009 
254,016 
255,025 

125,751,501 

126,506,008 
127,263.527 
128,024,064 
128,787,625 

22.3^30293 
22.4053565 
22.4276615 
22.4499413 
22.4722051 

7.9422931 
7.9175739 
7.9528477 
7.9581144 
7.9633743 

.001996008 
.001992032 
.001988072 
.001984127 
.001980198 

5O6 
507 
508 
509 
510 

256,036 
257,049 
258,064 
259,081 
260,100 

129,554,216 
130,323,843 
131,096.512 
131,872,21:9 
132,651,000 

22.4944438 

22.516f.605 
22.53885n3 
22.5610283 
22.5831796 

7.9686271 
7.9738731 
7.0791122 
7.9843444 
7.9895697 

.001976285 
.001972387 
.001968504 
.001964637 
.001960784 

511 
513 
513 
514 
515 

261,121 
262,144 
263.169 
264,196 
265,225 

133,432.831 
134,217,7:8 
135,005,697 
135,796,714 
136,590,875 

22.6053091 
22.6274170 
22  6  1950b3 
22.6715681 
22.6936114 

7.9947883 
8.0000000 
8.0052049 
8.0104032 
8.0155946 

.001956947 
.001953125 
.001919318 
.001945525 
.001941748 

516 
517 
518 
519 
53O 

266,256 
267,2^9 
268,324 
269,361 
270,400 

137,aS8,096 
138,188,413 
13^.991,832 
139.798,359 
140,608,000 

22.7156334 
22.7&W310 
22.7596134 
22.7815715 
22.8035085 

8.0207794 
8.0259574 
80311287 
8(362935 
8.0414515 

.001937984 
.001934236 
.001930502 
.001926782 
.001923077 

531 
523 
533 
634 
535 

271,411 

272,4«4 
273,529 
274,576 
275,625 

141,420,761 
142,236,618 
143.055,667 
143,877,824 
144,703,125 

22.8251244 
22  8473193 
22.8691933 
22.8910463 
22.91287&5 

8.0166030 
8  0517479 
8.1-568862 
8.0620180 
8.0671432 

.001919386 
.001915709 
.001912046 
.001908397 
.001904762 

536 
537 
538 
539 
53O 

276,676 
277,729 

278,784 
279,841 
280,900 

145,531.576 
146,363,183 
147,197.952 
148,035,880 
148,877,000 

22.9346899 
22.9561806 
22.97825C6 
23.000'*00 
23.0217289 

8.0722620 
8.0773743 
8.0824800 
8.0875  94 
8.0926723 

.001901141 
.001897533 
.001893939 
.001890359 
.001886792 

531 

533 
533 
534 
535 

281,961 
283,024 
284,089 
285,156 
286,225 

149,721,291 
150,568,768 
151,419.437 
152,273,3^4 
153,130,375 

23  0434372 
23.<  651252 
23.0867928 
23.1084400 
23.1300670 

8.0977589 
8.1028390 
8.1079128 
8.1129*  3 
8.1180414 

.001883239 
.001879699 
.001876173 
.001872659 
.001869159 

536 
537 
538 
539 
540 

287,296 
288,369 
289,444 
290,521 
291,600 

153,990,656 
l-i4.854.153 
155.720,872 
156,590,819 
157,464,000 

23.1516738 
23.1732C05 
23.1948270 
23.2163735 
23.2379001 

8.1230962 
8.1281417 
8.1331870 
8.1382230 
8.1432529 

.001865672 
.001862197 
.001858736 
.001855288 
.001851852 

541 
543 
543 
544 
545 

292,6^1 
293,764 
294,849 
295,9.56 
297,025 

158,340,421 
159,220,088 
160,103.007 
160,989,184 
161,878,625 

23.2504067 
23.2808935 
23  .3023004 
23.32aS076 
23.3452351 

8.1482765 
8.1532939 
8.1583051 
8.1633102 
8.1683092 

.001848429 
.001845018 
.001841621 
.001838235 
.001834862 

546 
547 
548 
549 

550 

298,116 
299,209 
300,304 
301,401 
302,500 

162,771,336 
163,667,323 
164,566,592 
165,469,149 
166,375,000 

23.3666429 
23.3880311 
23.40939J8 
23.4307490 
23  4520788 

8.1733020 
8.1782  88 
8.1«32695 
8.1Q8244l 
8.1932127 

.001^31502 
.OOr  28151 
.001824«18 
.001821494 
.001818182 

144 


HYDRAULIC   AND   EXCAVATION    TABLES. 


Table  43. — Squares,  cubes,  square  roots,  cube  roots,  and  recip- 
rocals—Continued. 


N 

N2 

N3 

ft* 

rf» 

1 

N 

551 

303,601 

167,284,151 

23.4733892 

8.1981753 

.001814882 

553 

304,704 

168,196.608 

18.4946802 

8.2031319 

.001811594 

553 

305,809 

169,112,377 

23.5159.V20 

8.2080825 

.001808318 

554 

306,916 

170,031,464 

23.5372046 

8.2130271 

.001805054 

555 

308,025 

170,953,875 

23.5584380 

8.2179657 

.001801802 

556 

309,136 

171,879,616 

23.5796-r<22 

8.2228985 

.001798561 

557 

310,249 

172,808,693 

23.600*174 

8.2278254 

.O0179.r;332 

558 

311,361 

173,741,112 

23.6220236 

8.2327463 

.001792115 

559 

312,481 

174.676,879 

23.0431808 

8.2376614 

.001788909 

560 

313,600 

175,016,000 

23.8643191 

8.2425706 

.001785714 

561 

314,721 

176,558,481 

23.6854386 

8.2474740 

.001782531 

562 

315,844 

177,504,328 

23.706r.392 

8.252;>715 

.001779359 

563 

316,969 

178,453.  5-17 

23  7276210 

8.2572633 

.001776199 

564 

318,0% 

179,406,144 

23.7486842 

8.2621492 

.0017731150 

565 

319,225 

180,362,125 

23.7697286 

8.2670294 

.001769912 

566 

320,356 

181  321  .496 

23.7907545 

8.2719039 

.001766784 

567 

321,489 

182,284.263 

23.8117618 

8.2767726 

.001763668 

568 

322,624 

183,250,432 

23.8327506 

8.28163.55 

.001760563 

569 

323,761 

184,220,009 

23.8537209 

8.2864928 

.001757469 

570 

324,900 

185,193,000 

23.8746728 

8.2913444 

.001754386 

571 

326,041 

186,169,411 

23.8956063 

8.2961903 

.001751313 

573 

327,184 

187,149.248 

239165215 

8.3010304 

.001748252 

573 

328,329 

188,132,517 

23.9^74184 

8  3J58651 

.001745201 

574 

329,476 

189,119,224 

23.9582971 

8.3106941 

.001742160 

575 

330,625 

190,109,375 

23.9791576 

8.3155173 

.001739130 

576 

331,776 

191,102,976 

24.0000000 

S.3203353 

.001736111 

577 

332,929 

192,100,033 

24.0208243 

8.3251475 

.0:  .1733102 

578 

334,084 

193.100.o52 

24.0416306 

8.3299542 

.001730104 

579 

335,241 

19-1,104,539 

24.0624183 

8.3347553 

.001727116 

580 

336,400 

195,112,000 

24.0,831891 

8.3395509 

.001724138 

581 

337,561 

196,122,941 

24.1039416 

8.34-13410 

.001721170 

583 

338,724 

197,137,368 

24.1246762 

8.3491256 

.001718213 

583 

339,889 

198.155,287 

24.1453929 

8.3539047 

.0017152U; 

584 

341,056 

199,176,704 

24.1661,919 

8.3586784 

.00171232!* 

585 

342,225 

200,201,625 

24.1867732 

8.3634466 

.001709402 

586 

343,396 

201,230,056 

24.2074369 

8.3682095 

.001706485 

587 

344,569 

202,262,003 

24.228:  .829 

8.3729668 

.001703578 

588 

345,744 

203,297,472 

24.2487113 

8.3777188 

.001700680 

.  589 

346,921 

204,336,469 

24.2693222 

8.3824653 

.001697793 

590 

348,100 

205,379,000 

24.2899156 

8.3872065 

.001694915 

591 

349,281 

206,425,071 

24.3104916 

8.3919423 

.001692047 

593 

350,464 

207,474,688 

24.3310501 

8.3966729 

.001689189 

;     593 

351,649 

208,527,857 

24.3515913 

8.4013981 

.001G86341 

f     594 

352,836 

209,584,584 

24.3721152 

8.4061180 

.00168  .502 

595 

854,025 

210,644,875 

24.3926218 

8.4108326 

.001680672 

596 

855,216 

211,708,736 

24.4131112 

8.4155119 

.001677852 

597 

356,409 

212.776,173 

24.4335834 

8.4202460 

.001675042 

598 

357,604 

213,847,192 

24.4540385 

8.4249448 

.001672241 

599 

358,801 

214.921,799 

24.4744765 

8.4296383 

.001669449 

600 

360,000 

216,000,000 

24.4948974 

8.4343267 

.001666667 

HYDRAULIC   AND  EXCAVATION   TABLES. 


14,1 


Table  43. — Squares,  cubes,  square  roots,  cube  roots,  and  recip- 
rocals. — Continued . 


N 

N2 

N3 

*4 

N* 

1 

~N~ 

601 

361,201 

217,081,801 

24.515J3013 

8.4390098 

.001663894 

602 

362,41)4 

218,167,208 

24.5356883 

8.4436877 

.(Xli  61130 

60.", 

303,609 

219.256,227 

24.55605^3 

8.4483605 

.001  6583  75 

604 

364,816 

22  ),348,864 

24.5764115 

845.0281 

.OHG&-629 

005 

366,025 

221,445,125 

24.5b67478 

8.4576906 

.001652893 

6O6 

367,236 

222,545,016 

24.6170673 

8.4623479 

.001650165 

607 

368,449 

223,648,543 

2I.6..73/00 

8.4670001 

.001647446 

6O8 

36<>,664 

224,755,712 

24  6776560 

8.4716471 

.001644737 

609 

370.881 

225,866,529 

246779254 

8.476'2892 

.00164-^036 

610 

372,100 

226,981,000 

24.6981781 

8.4809-61 

.00163s;&14 

611 

373.321 

228,099,ir,l 

24.7184142 

8.4855579 

.0016.^6661 

612 

374,544 

229.220.9J8 

24.73SC.33S 

8.4901818 

.001633987 

613 

375,7.  9 

230.346.:  97 

24.7588368 

8.4948  65 

.001631321 

614 

376.;  9i 

231.475541 

24.779  2*4 

8.4994233 

.001628C64 

615 

378,225 

232,608.375 

24.799.935 

8.5040350 

.001626016 

616 

379,466 

233,744,896 

21.8193473 

8.5086417 

.001623*77 

617 

380,(i89 

234,8*3,113 

24.8.59-1847 

8.513243o 

.001620746 

618 

381924 

236,029,032 

24.8596058 

8.5178403 

.001618123 

619 

383.161 

237.176,1  59 

24.8797106 

8.52243-^1 

.001615509 

620 

384,400 

238,328,000 

21.89  J«  992 

8.527^189 

.001612iX)3 

621 

385,641 

23^,483,OT)1 

24.9198716 

8.53160^9 

.001610306 

622 

386,884 

24),6lV4S 

21.9399278 

8.5361780 

.001607717 

623 

388,129 

241.8  4.367 

24.9599679 

8.5407501 

.001605136 

624 

38D.376 

242.970.624 

24.9799920 

8.5153173 

.001f,025G4 

625 

390,625 

244,140,625 

25.0000000 

8.54987*7 

.001600000 

626 

811.R76 

245,314,376 

25.0199920 

8.5544372 

.001597444 

627 

S93.I-9 

246,491.8  3 

•25  (.'399681 

8.5589899 

.001594896 

628 

891.384 

247.673,1^2 

25.1599282 

8.5635377 

.001592357 

629 

3.i5  641 

248,858,189 

25/798724 

8.56  08  '7 

.001589825 

630 

3;i6,900 

250,047,1,00 

25.099o008 

8.5726189 

.001587302 

631 

398,161 

251,219/91 

25  1197124 

8.5771523 

.001584786 

632 

399,424 

2o2.435  968 

25.1396102 

8.5816809 

.001582278 

633 

400,689 

2'  3.6o6,137 

25.lot.i491  3 

8.5862047 

.001579779 

634 

401,956 

254840.104 

25  17  3566 

8  59f)72:  8 

.001577287 

635 

403,225 

256,047,875 

25.1992,63 

8.5952380 

.001574803 

636 

404.496 

257,259,456 

25.2190404 

8.5907476 

.001572327 

637 

405,769 

258.474,8'3 

2o.2388r.89 

8  6042525 

.001569859 

638 

•1  7044 

259.694,1,72 

25.2586619 

8  6087526 

.001569898 

639 

4  8321 

26).917.119 

25.27844'.  3 

8  6132480 

.001561945 

640 

409,600 

262.144,000 

25.2982213 

8.6177o88 

.0015G2500 

641 

410,°81 

263,374,721 

25.3179778 

8.622!?248 

.0015T.0062 

642 

412.  1«4 

264,609,288 

25  3377189 

8  6267(  63 

.0)1557632 

643 

413.449 

265.847,707 

25  35-4447 

86  11830 

.00155V210 

644 

411,736 

267,089.984 

25  37715;! 

8.63  6  51 

.001^52795 

645 

416,025 

208,336,125 

25.39685.2 

8.C401'^26 

.001550388 

646 

417.316 

269,586,136 

25.4F5S01 

86445855 

.001547988 

647 

41  *.COJ 

270.840,023 

25.4361947 

864904;? 

.001545595 

648 

419904 

272,097,792 

25.4558441 

8  653  974 

.(01-  "43210 

649 

421.201 

273,359.4'9 

25.4754784 

8  6579465 

.001540832 

650 

422  J  03 

274,625.'  Or) 

254950976 

866.39.1 

.00153-462 

6202°— 17 10 


HYDRAULIC    AND   EXCAVATION    TABLES. 


Table   43. — Squares,  cubes,  square  roots,  cube  roots,  and  recip- 
rocals.— Continued. 


N 

N* 

N3 

N* 

N* 

_i_ 

651 

428,801 

275,894,451 

25.5147016 

8.6668310 

.001536098 

653 

425,104 

277,167,808 

25.5342907 

8.6712665 

.001533742 

653 

426,409 

278,445,077 

25.5538647 

8.6756974 

.001531394 

654 

427,716 

279,726,264 

25.5734237 

8.6801237 

.001529052 

655 

429,025 

281,011,375 

25.5929678 

8.6845456 

.001526718 

656 

430,336 

282,300,416 

25.6124969 

8.6889630 

.001524390 

657 

431,649 

283.593,893 

25.6320112 

8.6933759 

.001522070 

658 

432,964 

284,890,312 

23.6515107 

8.6977843 

.001519757 

659 

434,281 

2-'6,191,179 

25.6709953 

8.7021882 

.001517451 

660 

435,600 

287,496,000 

25.6904652 

8.7065877 

.001515152 

661 

436,921 

2«8.804,781 

25.7099203 

8.7109827 

.001512859 

663 

438,244 

290.117,528 

25.7293607 

8.7153734 

.001510574 

663 

439,569 

291,434,247 

25.7487864 

8.71975% 

.001508296 

664 

440,896 

292.754,944 

25.7681975 

8.7241414 

.001506024 

665 

442,225 

294,079,625 

25.7875939 

8.7285187 

.001503759 

666 

443,556 

295,408,296 

25.8069758 

8.7328918 

.001501502 

667 

444.889 

296,740,963 

25.8263431 

8.7372604 

.001499250 

668 

446,224 

298,077,632 

25.8456960 

8.7416246 

.001497006 

669 

447,561 

299.418.309 

25.8650343s 

8.7459846 

.001494768 

67O 

448,900 

300,763,000 

25.8.343582 

8.7503401 

.001492537 

671 

450,241 

802,111,711 

25.9036677 

8.7546913 

.001490313 

673 

451,584 

303,464,448 

25.9229628 

8.7590383 

.001488095 

673 

452,929 

301,821,217 

25.9422435 

8.7633*09 

.001485884 

674 

454,276 

306.182,024 

25.9615100 

8.7677192 

.0314«3680 

675 

455,625 

307,546,875 

25.9807621 

8.7720532 

.001481481 

676 

456,976 

308,915,776 

260000000 

8.7763830 

.001479290 

677 

458,329 

810,288,733 

26.0192237 

8.7807084 

.001477105 

678 

459,684 

311,665,752 

260384331 

8.7850296 

.001474926 

679 

461,041 

813,046.839 

26.0576284 

8.7893466 

.001472754 

680 

462,400 

314,432,000 

26.0768096 

8.7936593 

.001470588 

681 

463,761 

315.821,241 

26.0959767 

8.7979679 

.001468429 

683 

465,124 

317.214.568 

26.1151297 

8.8022721 

.0014R6276 

683 

466,489 

318,611,987 

26.1342687 

8.P065722 

.001464129 

684 

467.856 

320,013,504 

26.1533937 

8.8108681 

.001461988 

685 

469,225 

321,419,125 

26.1725047 

8.8151598 

.001459854 

(J86               47ft.ft9fi 

322,828,856 

26.1916017 

8.8194474 

.001457726 

687 
688 

471,969 
473,344 

324,242,703 
325.660.672 

26.2106848 
26.2297541 

8.8237307 
8.8'.'8n099 

.001455604 
.001453488 

689 

474.721 

327.0S2.769 

26.2488095 

8.8322850 

.001-151379 

690 

476,100 

328,509,000 

26.2678511 

8.8365559 

.001449275 

691 
693 
693 
694 

477,481 

478.864 
480,249 
481,636 

829.939,371 
331,373,888 
332,812,557 
334.255.384 

26.2868789 
26.3058929 
26.3248932 
26.3438797 

8.8408227 
8.8450854 
8.8493440 
8.85359So 

.001447178 
.001415087 
.001443001 
.001440922 

695 

483,025 

335,702,375 

26.3623527 

8.8578489 

.001438849 

696 
697 
698 
699 
700 

484,416 
485,809 
487,204 
488,601 
490,000 

837,153.536 
338,608.873 
340,068,392 
841.532,099 

348.000.000 

26.3818119 
26.4007576 
26.4196898 

26.4386081 

26.'.*.-  : 

8.8620952 
8.8663875 

8.8705757 
8  874*099 
•0400 

.001436782 
.001434720 

.001432665 
.001430615 

.001428571 

HYDRAULIC    AND    EXCAVATION    TAMU-.S. 


147 


Table  43. — Squares,  cubes,  square  roots,  cube  roots,  and  recip- 
rocals— Continued . 


N 

N2 

N8 

N* 

NJ 

1 

N 

701 

491.401 

344,472,101 

26.4764(146 

8.8S32661 

.001426534 

702 

492.804 

345,948,408 

26.1952826 

8.8874882 

.001424501 

703 

494/209 

347,428,927 

20.5141472 

8.8917063 

.001422475 

704 

495,616 

348,913.664 

26.6829988 

8.8959204 

.001420455 

705 

497,025 

850,402,625 

26.5518361 

8.9001301 

.001418440 

706 

498.436 

351,895,816 

26.5706605 

8.9043366 

.001416431 

7O7 

499.8  '.9 

353,393,243 

26.5894716 

8.9*6887 

.001414427 

708 

501,264 

354,894,912 

26.6082694 

8.9127369 

.001412429 

709 

502,681 

356.400.s-29 

26.6270T39 

8.9169.311 

.001410437 

710 

1   50i,l(,0 

a57,911,OCO 

26.6458252 

8.9211214 

.001408451 

711 

505.5-21 

859.425.-13l 

26.6645833 

8.925307S 

.001406470 

713 

536.944 

360,914,128 

26.6833281 

8.9294902 

.001404494 

713 

508,369 

862,4<>7.<;97 

26.702C598 

8.93366S7 

.001402525 

714 

509,796 

3<>3,994..">44 

26.72)7784 

8.9378433 

.C01400560 

715 

511,225 

365,525,875 

26.7394839 

8.9420140 

.001398601 

716 

512,656 

367.061,696 

26.7581763 

8.9461809 

.001396648 

717 

614,089 

3  8,601.813 

26.7768557 

8.9503438 

.001394700 

718 

515,524 

370,14(i,232 

26.7955220 

8.9545029 

.001392758 

719 

516,%1 

371,694,959 

26.8141754 

8.9586581 

.001393821 

720 

518,400 

373,248,000 

26.8328157 

8.9628095 

.001388S89 

721 

519,841 

374,805,361 

26.8514432 

8.9669570 

.001386963 

732 

521/284 

376,377.048 

26.8700577 

8.9711007 

.001385042 

733 

522,729 

377,933.?  67 

26.8SP6598 

8.9752406 

.0013a3126 

734 

524,176 

379,503,424 

26.9072481 

8.97937G6          .001381215 

725 

525,625 

381,078,125 

26.9258240 

8.9835089     j     .001379310 

720 

527,076 

382,657,176 

26.9443872 

8.9876373 

.001377410 

737 

528.529 

384,240/83 

26.9629^75 

8.9317620 

.OOL-V75516 

738 

529,984 

38~>,828,352 

26.9814751 

8.9958829          .001373626 

739 

531,441 

387.420,489 

27.000COOO 

9.0000000 

.001371742 

730 

532,900 

389.017.0U) 

27.0185122 

9.0041134 

.001369863 

731 

.534,361 

390,617,891 

27.0370117 

9.C082229 

.001367989 

733 

535,824 

392,223.168 

27.0554985 

9.0123288 

.001366120 

733 

537,289 

393,832,837 

27.0739727 

9.0164::!09 

.001364256 

734 

538.756 

3.)5,446,9:)4 

27.0924314 

9.0205293 

.031362398 

735 

540,225 

397,065,375 

27.1108834 

9.0246239 

.001360544 

736 

541,6% 

898.68S.256 

27.1293199 

9.0287149 

.0013586% 

737 

54J.1C9 

400,315.553 

27.1477439 

9.0328021 

.001356852 

738 

544,641 

401,947,272 

27.1661554 

9.C368857 

.0013-;5014 

739 

546.121 

403,583.419 

27.1845544 

9.0409355 

.0013'.3180 

740 

547,600 

405.224.0CO 

27.2029410 

9.0450417 

.001351351 

741 

549,081 

406.869,021 

27.2213152 

9.0491142 

.001349528 

743 

5,50,564 

408,518,488 

27.2396769 

9.0531831 

.001347709 

743 

552,049 

410,172,407 

27.2580263 

9.0572482 

.001345895 

744 

553,536 

411,830,784 

27.2763634 

9.0613G98 

.001:!44086 

745 

555,025 

413,493,625 

27.2946881 

9.0653677 

.001342282 

746 

556.516 

415,160,936 

27.8130006 

9.0694220 

.001340483 

747 

558,009 

416.832,723 

27.3313007 

9.0734726 

.001338688 

748 

559,504 

418,508,992 

27.3195887 

9.0775197 

.001336898 

749 

561,001 

420,189,749 

27.3678"44 

9.0815631 

.001335113 

750 

5P,2,500 

421.875,000 

27.3861279 

9.0856030 

.001333331 

148 


HYDKAULIG   AND   EXCAVATION    TABLES. 


Table  4:3. — Squares,  cubes,  square  roots,  cube  roots,  and  recip- 
rocals— Continued. 


N 

Na 

N3 

N* 

M* 

1 

N 

761 

564,001 

423,564,751 

27.4013792 

9.0896392 

.001381558 

753 

565,504 

425,259.008 

27.42^6184 

9.0936,19 

.001329787 

753 

567.009 

42G.y57,777 

27.4408455 

9.0977010 

.C01  328021 

754 

568,.r;16 

428,661.  Ofi4 

27.  4.19-1604 

9  1017265 

.0  1326260 

755 

570,025 

430,868,875 

27.4772G33 

9.10J7485 

.001324503 

756 

571,536 

432,081,216 

27.4954542 

9.1097C69 

.001322751 

757 

573,049 

433,798,193 

27.51  3Gb3) 

9.11:5-818 

.001:521004 

758 

574,504 

455,519,512 

27.531799* 

9.1177931 

.001319261 

759 

576.081 

437,245,479 

27.5499.546 

9.1218  10 

.0013175'.  '3 

760 

577,600 

438,976,000 

27  .5680.,75 

9.1258053 

.001315789 

761 

579,121 

440,711,081 

27.5862?84 

9.1298061 

.001314060 

763 

580,644 

442,450,728 

27.6)43475 

9.1338034 

.001312336 

763 

682,1  f  9 

444,194,1)47 

27.6J24.-46 

9.1377:71 

.001310616 

764 

683,693 

445,943.744 

27.  640'  499 

9.1417874 

.01)1308901 

766 

585,225 

447,697,125 

27.658,;334 

9.1457742 

.001307190 

766 

686,756 

449.455,096 

27  6767050 

9.1497576 

.001305483 

767 

588,289 

4->l,217,6r3 

27.<;y47648 

9.  153  -375 

.001303781 

768 

539,824 

452,984,832 

27.71-8129, 

9.15771  9 

.001302083 

769 

591.361 

454.75C..609 

27.7.508492 

9.16K8  9 

.001300393 

770 

692,900 

456,533,000 

27.7488739 

9.1656565 

.001298701 

771 

594,441 

458,311.011 

27.7668868 

9.1698225 

.001297017 

773 

595,984 

460,199,648 

27.7848P80 

9.17358  2 

.0.  (1295337 

773 

597,529 

4  >  1,  889,917 

27.8028775 

9.177:4  15 

.001293661 

774 

699.076 

4-3.684,824 

27.8208555 

9.1815003 

.001291990 

775 

600,625 

465,484,375 

27.8388218 

9.1854527 

.001290323 

776 

602,176 

467,2R8.r>76 

27.85677*6 

9.1894018 

.001288"60 

777 

603,729 

469,097  ,433 

27.8747197 

9.1933174 

.001287031 

778 

60\284 

47  t.910,952 

27.8926514 

9.1972897 

.0012<5347 

779 

606.*4l 

472,729,139 

27.9105715 

9.2012/86 

.001283697 

780 

608,400 

474,552,000 

27.9284801 

9.2051641 

.001282051 

781 

609,961 

476,379,541 

27.9463772 

9.2090962 

.001280410 

783 

611,524 

478,211  ,76S 

27.'.-642629 

9.2130250 

.O01'_)78772 

783 

613  '89 

48  ),048,687 

27.9821372 

9.21G9o05 

.001277  39 

784 

611.656 

4^1,891,304 

28.000  000 

9.2208726 

.001-J75510 

785 

616,225 

483,736,625 

28.0178515 

9.2247914 

.001273885 

786 

617,796 

485,587,656 

2^.0356915 

9.2287068 

.001272265 

787 

619,369 

4  7,443,40  } 

28.053521  '3 

9.23.618.) 

.001-70  48 

788 

620,944 

489,3'  )3,872 

28  0713377 

9.23G5-277 

.00126.K  36 

789 

622.521 

4  1,169,069 

28.0891438 

9.2101333 

.001267427 

790 

624,1^0 

493,039,000 

28.1069386 

9.2143355 

.001265823 

791 

625,681 

494  913,671 

28.1247222 

92482314 

.001264223 

793 

627,2  4 

4  f>,7;,3,088 

28.1124946 

9.2521300 

.OU1262626 

793 

628,819 

498,077,257 

2U<502.r57 

9.2500224 

.001'-  61  34 

794 

630,436 

500,566.184 

J?8.178)QT6 

92599114 

.0012  94!  6 

795 

632,025 

502,459,875 

28.11)57444 

9.26J7973 

J00125"/8J2 

796 

633,616 

504.8W.836 

28.2134720 

9.2676798 

.0012562R1 

797 

63\209 

506,261,573 

25.2311884 

9.2715592 

.0012547C5 

798 

636,804 

508,169,592 

2  V248S938 

9.2754352 

.001253133 

799 

63S.401 

510.082,31'9 

28.2665881 

9.2793081 

.OQ1251f;64 

800 

640,000 

512.000,000 

28.2842712 

9.2831777 

.0012rvOfx^ 

HYDRAULIC    AND   EXCAVATION    TABLES. 


149 


Table  43. — Squares,  cubes,  square  roofs,  cube  roots,  and  recip- 
rocals— Continued. 


N 

Na 

N8 

Ml 

Ni 

1 

N 

801 
803 
803 
804 
805 

€41.601 
f  43,  204 
641,809 
G4G.416 
648,025 

513,922,401 
515,849,608 
517,781,627 
519,718,464 
521,660.125 

28.8019434 
28.3196  45 
28  3372546 
28.:  1518938 
23.3725219 

9.2S70440 
9299072 
9.2947G71 
9.2986239 
9.3024775 

.0  1248439 
.0,12  .6883 
.('012  £330 
.00124.781 
.OJ1242236 

80G 
807 
808 
80',) 
810 

649,636 
651,249 

C52.864 
054,481 
1    656,100 

523,606,616 
525,557,943 
527,514,112 
f  29,475,129 
5J1,  441,000 

28.3901391 
28.4077454 
28.4253408 
2^.4429253 
28.4604989 

9.3~63278 
9  3101750 
9  31  10190 
93178599 
9.3216975 

.001240695 
.001239157 
.001237624 
.001236C94 
.004234568 

811 
813 
813 
814 
815 

657,721 
659,344 
6*0.969 
662,6'.:6 
664.225 

533.411,731 

5,j5.387,o28 
537.367,7i>7 
539.35H.144 
o41,343,375 

2^.4780617 
28.49561:57 
28.5131549 
2^.5305852 
28.5482048 

9.3255320 
9.3.93634 
9.3331916 
9.1370167 
9.3408386 

.001233046 
.001231527 
.001230012 
.001228501 
.001226994 

816 
817 
818 
819 
880 

6"'5,S5G 
667.489 
6:,9,124 
670,761 
672,400 

543,338,496 
54-),338,513 
517,343,4:;2 
549,353.259 
551368,0.0 

28.5657137 
28.58:  J211  9 
28.6006993 
28.6181760 
28.6356421 

93446575 
9.3484731 
9  3522*57 
9.3560952 
9.3599016 

.001225490 
.00122.  ;<i9J 
.001222494 
.0012210)1 
.001219512 

S31 

823 
833 
834 
835 

674,041 
675,684 
677.329 
678,976 
680,625 

553,3«7,6a 
555,412,248 
557.44  1,  7<i7 
559,476.224 
561,515,625 

28.6530976 
2S.6705424 
28.6879766 
28.7054002- 
28.7228132 

9.3P37049 
93675051 
9.3713022 
9.3750963 
9.3788873 

.001218027 
.001216515 
.OOT21f067 
.001213592 
.001212121 

836 
83T 
838 
839 
830 

682.276 
683,929 
685,584 
687,241 
688,900 

563,559,976 
565,609,283 
507,663,552 
569,722,789 
571,787,000 

28.7402157 
28.7576077 
28.7749891 
28.7923601 
28.8097206 

9.3826752 
9.3864600 
9.3902419 
9.3940206 
9.3977964 

.001210654 
.001209193 
.001207729 
.001206273 
.001204819 

831 
833 
833 
834 
835 

690.561 
692,224 
693.8S9 
695,556 
697,225 

573,856,191 
575,9:30.368 
578,009,537 
f,8J,093,704 
68?  ".82,875 

28.8270706 
28.8444102 
28.8617394 
28.8790582 
28.8963666 

9.4015691 
9.4053387 
9.409105* 
9.4128693 
9.4166297 

.001203869 
.001201923 
.001200480 
.001199041 
.001197605 

836 
837 
838 
839 
840 

698,896 
70J.569 
702,244 
703,921 
705,600 

584,277,056 
588,376.253 
588,480,472 
593,589,719 
592,704,000 

28.9136646 
28.9309  23 
28.9482297 
28.9654967 
28.9827535 

9.4208873 
9.4241420 
9.427893ft 
9.4316453 
9.4353880 

.001196172 
.001194743 
.001193317 
.001191895 
.001190476 

841 

843 
843 
844 

845 

707,281 
71)8,964 
7D.649 
712,336 
714.025 

594,823,321 
596.947.f88 
599.077,107 
601,211,581 
603,351,125 

29.0000000 
29.0172M3 
29.0344623 
29.0516781 
29.0688837 

9.4391307 
9  4428704 
9  4466072 
9.4503410 
9.4540719 

.0011890R1 
.001187648 
.001186240 
.001184834 
.001183432 

846 
847 
848 
849 
850 

715,716 
717,409 
719.104 
720,801 
722,500 

605,495,736 
6/7,645,423 
009,800,192 
611.960,049 
01  4.1-25,0)0 

29.0860791 
29.1032644 
29.1204396 
29.13760'6 
29.1547595 

9.4577999 
9.4615249 
9.4652470 
9.4'89Ua 
9.4726824 

.001182033 
.001180633 
.001179245 
.001177856 
.001176471 

150 


HYDRAULIC    AND   EXCAVATION    TABLES. 


Table  43. — Squares,  cubes,  square  roots,  cube  roots,  and  recip- 
rocals— Continued. 


N 

Na 

N8 

N* 

N* 

~w~ 

851 
853 
853 
854 
855 

724,201 
725,904 
727,609 
729,816 
731,025 

616,295,051 
618,470,208 
620,650,477 
622,835,864 
625,026,375 

29.1719043 
29.181)0330 
29.2061637 
29.2232784 
29.2403830 

9.4763957 

9.4S01061 
9.4838136 
9.4875182 
9.4912200 

.001175088 
.001173709 
.00117233:- 
.001170960 
.001169591 

856 
857 
858 
859 
860 

732,736 
734,449 
736,164 
737,881 
789,600 

627,222.016 
629.422.793 
631,628.712 

633.839.779 

636,056,000 

29.2574777 
29.2745623 
29.2916370 
29.3087018 
29.32575t:6 

9.4949188 
9.4986147 
9.5023078 
9.5059980 
9.5096854 

.001168224 
.OJ1166861 
.001ir>5501 
.001161144 
.001162791 

861 
869 
863 
864 
865 

741,321 
743,044 
744,769 
746,496 
748,225 

638,277,381 
640,503,928 
642.735,647 
644.972.544 
647.214,625 

29.3428015 
29.3593365 
29.3768616 
29.3938769 
29.4108823 

9.5133699 
9.5170515 
9.5207,:03 
9.5244063 
9.5280794 

.001161449 
.001160093 
.001158749 
.001157407 
.001156069 

866 
867 
868 
869 
870 

749,956 
751.689 
753,424 
755.161 
756,900 

649,461,806 
651.714,363 
653  972,032 
656.234,909 
658,503,000 

29.4278779 
29.4448637 
29.4618397 
29.4788059 
29.4957624 

9.5317497 
9.5354172 
9.5390818 
9.5427437 
9.5464027 

.001154734 
.001153403 
.001152074 
.001150748 
.001149425 

871 
879 
873 
874 
875 

758,641 
760,384 
762,129 
763,876 
765,625 

660,776,311 
653,054,848 
665.338,617 
667,627.624 
669,921,875 

29.5127091 
29.5296461 
29.5465734 
29.5634910 
29.5803989 

9.5500589 
9.5537123 
9.5573630 
9.5610108 
9.5616559 

.001148106 
.001146789 
.OJ1145475 
.0)1144165 
.001142857 

876 
877 
878 
879 

880 

767,376 
769,129 
770,884 
772,641 
774,400 

672,221,376 
674.520,133 
676,836.152 
679,151,439 
681,472,000 

29.5972972 
29.6141858 
29.6310648 
29.6479342 
29.6647939 

9.5682982 
9.5719377 
9.5755745 
9.5792085 
9.5828397 

.001141553 
.001140251 
.001138952 
.001137656 
.001136364 

881 
889 
883 
884 
885 

776.161 

777,924 
779.C89 
781,456 
783,225 

683,797,841 
6S6.128.968 
688,465,387 
690,807.104 
693.154,125 

29.6816442 
29.6984848 
29.7153159 
29.7321375 
29.7489496 

9.5864682 
9.5901.9S9 
9.5937169 
9.5973373 
9.6009C48 

.001135074 
.001133787 
.001132503 
.001131222 
.001129944 

886 
887 
888 
889 
890 

78  1.9% 
786,769 
788,544 
790,321 
792,100 

695.506,456 
697,864,103 
700,227,072 
702.595.369 
704,969,000 

29.7657521 
29.7825452 
29.7993289 
29.8161030 
29.8328678 

9.6045696 
9G081817 
9.6117911 
9.6153977 
9.6190017 

.001128608 
.001127396 
.001126120 
.001121F59 
.001123596 

891 
899 
893 
894 
895 

793,881 
795.f6t 
797.449 
799.236 
801,025 

707,847,971 
709,732,288 
712,121,957 
714.516,984 
716,917,375 

29.8496231 
29.8T.63..90 
29.8831056 
29.8998323 
29.9165506 

9.6226030 
9.6262016 
9.6297975 
9.63*^907 
9.6369812 

.001122334 
.001121076 
.001119821 
.00111*568 
.001117318 

896 
897 
898 
899 

•'   900 

802,816 
804,609 
806.404 
808,201 
810,000 

719,323.136 
721,734,273 
724.150.792 
726,572,6'.  -9 
729,000.000 

29.9332591 
29.9499i83 
29.9666481 
29.98J3287 
30.0000000 

9.6405690 
9  6441542 
9.6477367 
9  6513166 
9.65489J8 

.ooiiiron 

.C011  14827 
.001113586 
.00111-2317 
.001111111 

HYDRAULIC    AND    EXCAVATION    TABLES. 


151 


Tafote   43. — Squares,  cubes,  square  roots,  cube  roots,  and  recip- 
rocals— Continued . 


N 

N3 

N3 

N* 

N* 

1 

.001109878 
.001108647 
.001107420 
.001106195 
.001104972 

901 
903 
903 
904 
905 

811.801 
813,601 
815,409 
817,216 
819,025 

731,432,701 

733,870,808 
736,311,327 
7:13,763.264 
741,217,625 

30.0166620 
30.0333148 
30.04995at 
30.0665928 
80.0882179 

9.6584684 
9.6620403 
9.6656086 
9.6691762 
9.6727403 

906 
907 
908 
909 
91O 

820,836 
822,649 
824,464 
826,281 
1     828,100 

743,677,416 
7  16,142,643 
718,613.312 
751,089,  42'J 
753,571,000 

30.0998339 
30.1164407 
30.1330383 
80.1496269 
30.1662063 

9.6763017 
9.6798601 
9.6834166 
9.6869701 
9.6905211 

.001103753 
.001102536 
.001101322 
.001100110 
.0010989:)! 

911 
913 
913 
914 
915 

829,921 
831,744 
833,569 
835,3% 
837,225 

756,OW,031 
758,f>50,528 
761,048.497 
763.5ol.9i4 
766,060,875 

30.1827765 
3  ).  1993377 
30.2158%9 
30.2324329 
80.2489ue9 

9.6940691 
9.6976151 
9.7011583 
9.7046989 
9.7082369 

.001097.^95 
.001096491 
.001095290 
.OJ1091092 
.0010928% 

916 
917 
918 
919 
92O 

839,056 
840.889 
842,724 
84-1,561 
846,400 

768,575,2% 
771,095,213 
773,620,632 
776,151,559 
778,688,000 

30.2654919 
30.2820079 
30.2985148 
30.3150128 
80.3315018 

9.7117723 
9.7153051 
9.7188354 
9.7223631 
9.7258883 

.001091703 
.001090513 
.0010893-25 
.001088139 
.001086957 

921 
923 
923 
924 
925 

848,241 
850,084 
851,929 
853.776 
855,625 

781,229.961 
783,777,448 
786,330,467 
788,889,024 
791.453,126 

30.3479818 
80.3644529 
30.3809151 
30.3973683 
30.4138127 

9.7294109 
9.73293(9 
9.7364484 
9.739%34 
9.7434758 

.001085776 
.001084599 
.001083424 
.0010*2251 
.001081081 

926 
927 
928 
929 
93O 

857,476 
859,329 
861,184 
863,041 
864,900 

794,022,776 
7%,597,<i83 
799.178,752 
801,765,089 
804,357,000 

80.43024*1 
80.4466747 
80.4630924 
30.4795013 
30.4959014 

9.7469857 
9.7504930 
9.7539979 
9.7575002 
9.7610001 

.001079914 
.001078719 
.0010775^6 
.001076428 
.001075209 

931 
933 
933 
934 
935 

866,761 
868,624 
870,489 
872,356 
874,225 

806,954,491 
809,557,568 
•  812,166.237 
814,780,504 
817,400,375 

80.5122926 
30  5286750 
30.5450487 
80  5614136 
80.5777697 

9  7614974 
9.7679922 
9.7714*45 
9.7749743 
9.7784616 

.001074114 
.001072%! 
.001071811 
.001070664 
.001069519 

936 
937 
938 
939 
940 

876,0% 
877,%9 
879,844 
881,721 
883,600 

820,025,856 
822,656,953 
825,293,672 
827,936,019 
830,584,000 

30.5911171 
30.6104557 
30.6267857 
3  ).64310r9 
80.6594194 

9.7819166 
9.78542C8 
9.78-90S7 
9.7923861 
9.7958611 

.001068376 
.001067236 
.001066098 
.001064963 

.ooioesaso 

941 
942 
943 
944 
945 

885.481 
8S7.364 
889,249 
891,136 
89J.025 

833,237,621 
835,8%,88S 
838.561,807 
811,232,3°4 
843,908,625 

30.6757233 
30.6920185 
30  7083051 
30.724."830 
30.7408523 

9.79933^6 
9.8028036 
9.80"2711 
9.8097862 
9.8131989 

.001062699 
.0^1061571 
.00106^415 
.001059322 
.001058201 

946 
947 
948 
949 
95O 

891,916 

8%,809 
898,704 
900.601 
902/00 

846,590,536 
849,278,123 
851,971,392 
8.54.670,349 
857,375,000 

30.7571130 
30.7733651 
30.789fi086 
30.  8%8436 
30  8220700 

9  81P6591 
9.8201169 
9.823572? 
9.8270252 
9  8304757 

.001057082 
.f010,559'6 
.001054852 
.001053741 
.0)1052632 

152 


HYDRAULIC  AND  EXCAVATION   TABLES. 


Table   4.3. — Squares,  cubes,  square  roots,  cube 
rocals — Conti  n  ued . 


and  recip- 


N 

N2 

i 
N3 

N* 

si 

1 

N 

051 
953 
953 
954 
955 

904,401 
906.304 
908,209 
910,116 
912,025 

860.085,351 
862,801.408 
865.523.177 
868.250.664 
870,983,875 

3^.8382*79 
30.8544<j72 
30.8706981 
30.8868904 
30.9030743 

9.8339238 
9.8373695 
9.8408127 
9.8442n36 
9.8476920 

.001051525 
.001050420 
.001049318 
.001048218 
.001047120 

956 
957 

958 
959 
9GO 

913,936 
915,849 
917.764 
919.681 
921,600 

873.722,816 
876.467.493 
879,217.912 
881.974,079 
884.736.000 

30.9192197 
30.93541(6 
30.9515751 
30.9677251 
30.9838668 

9.8511280 
9.8545617 
9.8579929 
9.8614218 
9.8648483 

.001046025 
.001044932 
.001043841 
.001042753 
.OU1041667 

961 
963 
963 
964 
965 

923,521 
925,444 
927.369 
9-29.296 
931,225 

887,503,681 
890,277.128 
893,056.317 
895,841.314 
898,632,125 

31.0,000000 
31.0161248 
31.0322413 
31.0483494 
31.0644491 

98682724 
9  8716941 
9  8751135 
9.8785305 
9.8819451 

.001010583 
.001039501 
.0010:i8422 
.001037344 
.001036269 

966 
967 
968 
969 
970 

933.156 
935.089 
9  57,024 
938,961 

94J.900 

901,428.696 
904,231,063 
907,039.232 
909,8T)3,-09 
912.673.000 

81.0805405 
31.09662.6 
31.112'  984 
31.1287648 
31  1448230  . 

9.8°53574 
9^887673 
9.8921749 
9895*801 
9.8989830 

.001035197 
.001034126 
.001033058 
.001031992 
.001030928 

971 
973 
973 
974 
975 

942.841 
944.784 
946.729 
948.676 
950,625 

915,498,611 
918.330,048 
921.167.317 
924.010.424 
926,859.375 

81.1608729 
31.1769145 
31.1929479 
31.2089731 
31.2249900 

9.902r!835 
9.9.57817 
9.9091776 
9.9125712 
9.9159624 

.001029^6 

.001028807 
.001027749 
.00102^694 
.001025641 

976 
977 
978 
979 
980 

952.576 
954.529 
956.484 
958,441 
960,400 

929.714  176 
932.574.S33 
935.441.352 
938,313.739 
941.192000 

31.2409987 
31.2569992 
31.27-29915 
31.2889757 
31.3049517 

9.9193513 
9  9227379 
99261222 
9.9295042 
9.9328839 

.0010245ft) 
.001  02^541 
.OOli  22495 
.001021450 
.001020108 

981 
983 
983 
984 
985 

962,361 
964.324 
966.289 
968.256 
970,225 

944.076.141 

946,966.168 
949.862,087 
952.763.904 
955,671,625 

31.3209195 
31.3368792 
31.3528308 
31.3687743 
31.3847097 

9  9362018 
9.9^96363 
9.9430092 
9.9463797 
9.9497479 

.O010193'*8 
.001018330 
.001017291 
.001016260 
.001015228 

986 
987 
988 
989 
990 

972.1% 
974.169 
976.144 
978.121 
980.100 

958.585.256 
961,504.803 
964.430.272 
967.361.6fi9 
970,299,000 

81.4006369 
31.4165T)61 
31.4324673 
31.4483704 
31.4642654 

9.9531138 
9.9561775 
9.9598389 
9.9631981 
9.9665549 

.001014199 
.001013171 
.001012146 
.001011122 
.001010101 

991 
993 
993 
994 
995 

9^,081 
981.064 
986.049 
988.036 
990,025 

973.242.271 
976  191.488 
979.146.fo7 
982,107.781 
985,074.875 

31.4801525 
31.4960315 
31  5119025 
31.5277655 
31.5436206 

9.9699095 
9.9732619 
9.9766120 
9.9799599 
9.9833055 

.001009082 
.001008C65 
.001007049 
.001006036 
.001005025 

996 
997 
998 
999 
1000 

9!>2,016 
994.009 
9%  001 
998,(  01 
1.000.000 

988,047.935 
991,026.9/3 
994,011.992 
997.002,999 
1.000,000,100 

31.5594677 
31  575306  S 
31.5911380 
31.6069613 
31.6227766 

99866I8S 
9.9899900 
9.9933289 
9.996C.6  6 
lO.lOOOCQO 

.001004016 

.001003009 
.001002004 
.001001001 
.001000COO 

;;  l.  !»K.U  .L10    AND   EXGAVATJON     i  A  r.  !.}>-.  153 

Table    44. —  Difference  of  elevation  in  feet  per  mile  for  various 
angles  of  slope. 


An- 
gle 

0° 

.- 

2° 

3° 

4° 

5° 

6° 

7° 

8° 

00 

10° 

t 

0 

92.2 

184.4 

276.7 

369.2 

461.9 

555.0 

648.3 

742.1 

836.3 

931.0 

1 

"1.5 

93.7 

185.9 

273.3 

370.8 

463.5 

556.5 

649.9 

743.6 

837.8 

932.6 

* 

3.1 

95.2 

187.5 

279.8 

372.3 

465.0 

558.1 

651.4 

745.2 

839.4 

934.2 

• 

4.6 

90.8 

189.0 

281.3 

373.8 

466.6 

559.6 

653.0 

746.8 

841.0 

935.8 

* 

6.1 

98.3 

190.5 

282.9 

375.4 

468.1 

561.2 

654.5 

748.3 

842.6 

937.4 

6 

7.7 

99.8 

192.1 

284.4 

376.9 

469.7 

562.7 

656.1 

749.9 

844.2 

938.9 

i 

9.2 

101.4 

193.6 

286.0 

378.5 

471.2 

564.3 

657.7 

751.5 

845.7 

940.5 

7 

10.8 

102.9 

195.1 

287.5 

380.0 

472.8 

565.8 

659.2 

753.0 

847.3 

942.1 

8 

12.3 

104,4 

196.7 

289.0 

381.6 

474.3 

567.4 

660.8 

754.6 

848.9 

943.7 

9 

13.8 

106.0 

198.2 

290.6 

383.1 

475.9 

568.9 

662.4 

746.2 

850.5 

945.3 

10 

15.4 

107.5 

199.8 

292.1 

384.7 

477.4 

570.5 

663.9 

757.7 

852.0 

946.9 

11 

16.9 

109.1 

201.3 

293.7 

386.2 

479.0 

572.0 

665.5 

759.3 

853.6 

948.5 

12 

18.4 

110.6 

202.8 

295.2 

387.7 

480.5 

573.6 

667.0 

760.9 

855.2 

950.0 

13 

20.0 

112.1 

204.4  !  296.7 

389.3 

482.1 

575.2 

668.6 

762.4 

856.8 

961.6 

14 

21.5 

113.7 

205.9 

298.3 

390.8 

483.6 

576.7 

670.2 

764.0 

858.3 

953.2 

15 

23.0 

115.2 

207.5 

299.8 

392.4 

485.2 

578.3 

671.7 

765.6 

859.9 

954.8 

16 

24.6 

116.7 

209.0 

301.4 

393.9 

486.7 

579.8 

673.3 

767.1 

861.5 

956.4 

17 

26.1 

118.3 

210.5 

302.9 

395.5 

488.3 

581.4 

674.8 

768.7 

863.1 

958.0 

18 

27.6 

119.8 

212.1 

304.4 

397.0 

489.8 

582.9 

676.4 

770.3 

864.7 

959.6 

19 

29.2 

121.4 

213.6 

306.0 

398.6 

491.3 

584.5 

678.0 

771.8 

866.2 

961.1 

30 

30.7 

122.9 

215.1 

307.5 

400.1 

492.9 

586.0 

679.5 

773.4 

867.8 

962.7 

91 

32.3 

124.4 

216.7 

309.1 

401.6 

494.5 

587.6 

681.1 

775.0 

869.4 

964.3 

33 

33.8 

126.0 

218.2 

310.6 

403.2 

496.0 

589.1 

682.6 

776.6 

871.0 

965.9 

33 

35.3 

127.5 

219.8 

312.1 

404.7 

497.6 

590.7 

684.2 

778.1 

872.5 

967.5 

24 

36.9 

129.0 

221.3 

313.7 

406.3 

499.1 

592.2 

685.8 

779.7 

864.1 

969.1 

35 

38.4 

130.6 

222.8 

315.2 

407.8 

500.7 

593.8 

687.3 

781.3 

875.7 

970.7 

26 

39.9 

132.1 

224.4 

316.8  '  409.4 

502.2 

595.4 

688.9 

782.8 

877.3 

972.2 

27 

41.5 

133.6 

225.9 

318.3    410.9 

503.8 

596.9 

690.5 

784.4 

878.8 

973.8 

28 

43.0 

135.2 

227.5 

319.9    412.5 

505.3 

598.5 

692.0 

786.0 

880.4 

975.4 

29 

44.5 

136.7 

229.0 

321.4 

414.0 

506.9 

600.0 

693.6 

787.6 

882.0 

977.0 

30 

46.1 

138.3 

230.5 

322.9 

415.5 

508.4 

601.6 

695.1 

789.1 

883.6 

978.0 

SI    47.6    139.8 

232.1 

324.5 

417.1 

510.0 

603.1 

696.7 

790.7 

885.2 

980.2 

33 

49.2    141.3 

233.6 

326.0 

418.6 

511.5 

604.7 

698.3 

792.2 

886.7 

981.8 

33 

50.7 

142.9 

235.1 

327.6 

420.2 

513.0 

006.  3 

699.8 

793.8 

888.3 

983.4 

34 

52.2 

144.4 

236.7 

329.1 

421.7 

514.6 

607.8 

701.4 

795.4 

889.9 

985.0 

35 

53.8 

146.0 

238.2 

330.6 

423.3 

616.2 

609.4 

702.9 

796.9 

891.5 

986.5 

36 

55.3 

147.5 

239.8 

332.2 

424.8 

517.7 

610.9 

704.5 

798.5 

893.1 

988.1 

37 

66.8 

149.0 

241.3 

333.7 

426.4 

519.3 

612.5 

706.1 

800.1 

894.6 

989.7 

K 

58.4 

150.6 

242.8 

335.3 

427.9 

520.8 

614.0 

707.6 

801.7 

896.2 

991.3 

39 

59.9 

152.1 

244.4 

336.8 

429.5 

522.4 

615.5 

709.2 

803.2 

897.8 

992.9 

40 

61.4 

153.6 

245.9 

338.4 

431.0 

523.9 

617.2 

710.8 

804.8 

899.4 

944.5 

41 

63.0 

155.2 

247.5 

339.9 

432.5 

525.5 

618.7 

712.3 

806.4 

901.0 

996.1 

42 

64.5 

156.7 

249.0 

341.4 

434.1 

527.0 

620.3 

713.9 

808.0 

902.5 

997.7 

43 

66.0 

158.2 

250.5 

343.0 

435.6 

528.6 

621.8 

715.5 

809.5 

904.1 

999.3 

44 

G7.6  :  159.8 

252.1 

344.5 

437.2 

630.1 

623.4 

717.0 

811.1 

905.7 

000.9 

154 


HYDRAULIC    AND   EXCAVATION    TABJVRS. 


44. —  Difference  of  elevation  in  feet  per  mile  for  various 
angles  of  slope — Continued. 


An- 

0° 

r 

t 

8° 

V 

5° 

6°          7° 

8° 

9° 

10° 

gle 

! 

* 

I 

45 

69.1 

161.3 

253.6 

346.1 

438.7 

531.7 

624.9  i  718.6 

812.7 

907.3 

1,002.8 

46 

70.6 

162.9 

255.2 

347.6 

440.3 

533.2 

626.5  1  720.2 

814.2 

908.9 

1.004.C 

47 

72.2 

164.4 

256.7 

349.2 

441.8 

534.8 

628.0    721.7 

815.8 

910.5 

1,005.6 

48 
49 

73.7 
75.3 

165.9 
167.5 

258.2 
259.8 

350.7 
352.2 

443.4 
444.9 

536.3 
537.9 

629.6 
631.2 

723.3 

724.8 

817.4 
819.0 

912.0 
913.6 

1,007.2 
1,008.8 

50 

76.8 

169.0 

261.3 

353.8 

446.5 

539.4 

632.7 

726.4 

820.5 

915.2 

1,010.4 

51 

78.3 

170.8 

282.9 

355.3 

448.0  1  541.0 

634.3 

728.0 

822.1 

916.8 

1,012.0 

52 

79.9 

172.1 

264.4 

356.9 

449.6 

542.5 

635.8 

729.5 

823.7 

918.4 

1,013.6 

53 

81.4 

173.6 

265.9 

358.4 

451.1 

544.1 

637.4 

731.1 

825.3 

919.9 

1,015.2 

54 

82.9 

175.2 

267.5 

360.0 

452.7  '  545.6 

638.9  1  732.7 

826.8 

921.5 

1,016.8 

55 

84.5 

176.7 

269.0 

361.5 

454.2 

547.2 

640.5    734.2 

828.4 

923.1 

1,018.4 

56 

86.0 

178.2 

270.6 

363.0 

455.8 

548.7 

642.1  i  735.8 

830.0 

924.7 

1,020.0 

57 

87.5 

179.8 

272.1 

364.6 

457.3 

550.3 

643.6    737.4 

831.5 

926.3 

1,021.5 

58 

89.1 

181.3 

273.6 

366.1 

458.8 

551.8 

645.2    738.9 

833.1 

927.8 

1,023.1 

59 

90.6 

182.8 

275.2 

367.7 

460.4 

553.4 

646.7    740.5 

834.7 

929.4 

1,024.7 

I 

^—  .—  .  

Angle 

11° 

12° 

13° 

14° 

15° 

16° 

17° 

18° 

19° 

20° 

0 

1,026.3 

,122 

1,219 

1,316 

1,415 

,514 

1,614 

1,716 

1,818 

1,922 

1 

1,027.9 

,124 

1,221 

1,318 

1,416 

,516 

,616 

1,717 

1,820 

1,924 

2 

1,029.5 

,126 

1,222 

1,320 

1,418 

,517 

,618 

1,719 

1.822 

1,925 

3 

1,031.1 

,127 

1,224 

1,321 

1,420 

,519 

,619 

1,721 

1,823 

1,927 

4 

1,032.7 

,129 

1,225 

1,323 

1,421 

,521 

1,621 

1,723 

1,825 

1,929 

5 

1,034.3 

,130 

1,227 

1,325 

1,423 

,522 

1,623 

1,724 

1,827 

1,931 

6 

1,035.9 

,132 

1,229 

1,326 

1.425 

,524 

,624 

1,726 

1,828 

1,932 

7 

1,037.5 

,134 

1,233 

1,328 

1.426 

,525 

,626 

1,728 

1,830 

1,934 

8 

1,039.1 

,135 

1,232 

1,330 

1.428 

,527 

.628 

1,729 

1,832 

1,936 

9 

1,040.7 

,137 

1,234 

1,331 

1,430 

,529 

1,629 

1,731 

1,834 

1,937 

10 

1,042.3 

,138 

1,235 

1,333 

1.431 

,531 

.631 

1,733 

1,835 

1,939 

11 

1,043.8 

,140 

1,237 

1,334 

1,433 

,532 

,633 

1,734 

1,837 

1,941 

1,045.4 

,142 

1,238 

1,336 

1,435 

,534 

,634 

1,736 

1,839 

1,943 

13 

1,047.0 

,143 

1,240 

1,338 

1,436 

,535 

,636 

1,738 

1.840 

1,944 

14 

1,048.6 

,145 

1,242 

1,339 

1,438 

.537 

,638 

1,739 

1,842 

1,946 

HYDRAULIC    ANI«    KXC'AVATION    TABLKS. 


H .  —  Difference  of  elevation  in    feet  per  mile  for  various 
angles  of  slope — Continued. 


Angle 

11°     ;    1?° 

13° 

14° 

15° 

16° 

J7° 

18° 

19° 

20° 

! 

15 

1,050.2 

1,146 

1.2-13 

1,341 

1.440 

1,539 

1,639 

1,741 

1,844 

1,948 

10 

1,051.8 

1,148 

1,245 

1,343 

1,411 

1,541 

1,641 

1.743 

1,846 

1,950 

17 

1,053.4 

1,150 

1.247 

1.344 

1,443 

1,542 

1,643 

1,744 

1,847 

1,951 

18 

1.055.0 

1.151 

1,248 

1,346 

1,444 

1,544 

1,644 

1,746 

1,849 

1,953 

10 

1,056.6 

1,153 

1,250 

1,348 

1,446 

1,546 

1,646 

1,748 

1,851 

1,955 

20 

1.058.2 

1,154 

1,251 

1,349 

1,448 

1,547 

1,648 

1,750 

1,853 

1,957 

21 

1,059.8 

1,156 

1.253 

1,351 

1,449 

1,549 

1.649 

1,751 

1,854 

1,958 

22 

1,001.4 

1.158 

1,255 

1,352 

1,451 

1,551 

1,651 

1,753 

1,856 

1,960 

23 

1,063.0 

1,159 

1,256 

1,354 

1,453 

1,552 

1,653 

1,755 

1,858 

1,962 

24 

1,064.6 

1,161 

1,258 

1,356 

1,454 

1,554 

1.655 

1,756 

1,860 

1,964 

25 

1.066.2 

1,163 

1,260 

1,357 

1,4.56 

1,556 

1,656 

1,758 

1,861 

1,965 

26 

1.067.8 

1,164 

1,261 

1,359 

1,458 

1,557 

1.658 

1,760 

1,863 

1,967 

27 

1.069.4 

1,166 

1.263 

1,361 

1,459 

1,559 

1.660 

1,762 

1,865 

1,969 

28 

1,071.0 

1,167 

1,264 

1,362 

1,461 

1,561 

1,661 

1,763 

1,866 

1,971 

29 

1,072.6 

1,169 

1,266 

1,364 

1,463 

1,562 

1,663 

1,765 

1,868 

1,972 

30 

1,074.2 

1,171 

1,268 

1,366 

1,464 

1,564 

1,665 

1,767 

1,870 

1,974 

31 

1.075.8 

1,172 

1,269 

1,367 

1,466 

1,566 

1,666 

1,768 

1,871 

1,976 

32 

1.077.4 

1,174 

1.271 

1,369 

1,468 

1,567 

1,668 

1,770 

1,873 

1,978 

33 

1.079.0 

1,175 

1,273 

1,370 

1,469 

1,569 

1,670 

1,772 

1,875 

1,979 

34 

1,080.6 

1,177 

1,274 

1,372 

1,471 

1,571 

1,672 

1,773 

1,877 

1,981 

35 

1.082.2 

1,179 

1,276 

1,374 

1,473 

1.572 

1,673 

1,775 

1,878 

1.983 

36 

1.083.8 

1.180 

1,277 

1,375 

1,474 

1,574 

1,675 

1,777 

1,880 

1,985 

37 

1,085.4 

1.182 

1,279 

1,377 

1,476 

1,576 

1,677 

1,779 

1,882 

1,986 

38 

1.087.0 

1,183 

1,281 

1,379 

1,478 

1,577 

1,678 

1,780 

1,884 

1,988 

39 

1,088.6 

1,185 

1,282 

1,380 

1,479 

1,579 

1,680 

1,782 

1,885 

1,990 

40 

1,090.2 

1,187 

1,284 

1,382 

1,481 

1,581 

1,682 

1,784 

1,887 

1,992 

41 

1,091.8 

1,188 

1,286 

1,384 

1,483 

1,582 

1,683 

1,786 

1.889 

1,993 

42 

1.093.4 

1,190 

1,287 

1,385 

1,484 

1,084 

1,685 

1,787 

1,891 

1.995 

43 

1.095.0 

1,192 

1,289 

1,387 

1,486 

1,086 

I,b87 

1,789 

1,892 

1,997 

44 

1,096.6 

1,193 

1,290 

1,388 

1,487 

1,087 

1,6«8 

1,791 

1,894 

1,999 

45 

1,098.2 

1.195 

1,292 

1,390 

1,489 

1,589 

1,690 

1,792 

1,896 

2,000 

46 

1,099.8 

1,196 

1,294 

1,392 

1,491 

1,591 

1,692 

1,794 

1,898 

2,002 

47 

1,101.5 

1,198 

1,295 

1,393 

1,492 

1,592 

1,694 

1,796 

1,899 

2,004 

48 

1.103.1 

1,200 

1,297 

1,395 

1,494 

1,594 

1,695 

1,798 

1.901 

2,006 

49 

1,104.7 

1,201 

1,299 

1,397 

1,496 

1,596 

1,697 

1,799 

1,903 

2,007 

50 

1,106.3 

1,203 

1,300 

1,398 

1,497 

1,597 

1,699 

1,801 

1,904 

2,009 

51 

1.107.9 

1,204 

1,302 

1,400 

1,499 

1,599 

1,700 

1,803 

1.906 

2,011 

52 

1,109.5 

1,206 

1,303 

1,402 

1,501 

1,601 

1,702 

1,804 

1,908 

2.013 

53 

1,111.1 

1,208 

1,305 

1.403 

1,502 

1,602 

1,704 

1,806 

1,910 

2.014 

54 

1,1127 

1,209 

1,307 

1,405 

1,504 

1,604 

1,705 

1,808 

1,911 

2,016 

55 

1,114.3 

1,211 

1,308 

1,407 

1,506 

1.606 

1.707 

1,809 

1,913 

2,018 

56 

1,115.9 

1,213 

1,310 

1,408 

1,507 

1,607 

1,709 

1,811 

1,915 

2,020 

57 

1,117.5 

1,214 

1,312 

1,410 

1,509 

1,609 

1,711 

1,813 

1,917 

2,021 

53 

1,119.1 

1,210 

1,313 

1,411 

1,511 

1,611 

1.712 

1,815 

1,918 

2.023 

59 

1,120.7 

1,217 

1,315 

1,413 

1,512 

1,612 

1,714 

1,816 

1,920 

2,025 

;!Yi»HAi<Lio  AND  EXCAVATION  TABLES. 
Table     45 .—Correction  in  feet  for  curvature  and  refraction* 

[  h  -  0.574Z)*  ] 


Dis- 
tance 
in 
miles 

.0 

.1 

.2 

.3 

A 

.5 

.« 

.7 

.8 

.9 

1 

.6 

.7 

.8 

1.0 

1.1 

1.3 

1.5 

1.7 

1.9 

2.1 

2 

2.3 

2.5 

2.8 

3.0 

3.3 

3.6 

3.9 

4.2 

4.5 

4.8 

3 

5.2 

5.5 

5.9 

6.2 

6.6 

7.0 

7.4 

7.8 

8.3 

8.7 

4 

9.2 

9.6 

10.1 

10.6 

11.1 

11.6 

12.1 

12.7 

13.2 

13.8 

5 

14.3 

14.9 

15.5 

16.1 

16.7 

17.3 

18.0 

18.6 

19.3 

20.0 

e 

20.7 

21.4 

22.1 

22.8 

23.5 

24.2 

25.0 

25.7 

26.5 

27.3 

i 

28.1 

28.9 

29.8 

30.6 

31.4 

32.3 

33.2 

34.1 

35.0 

35.9 

s 

36.7 

37.6 

38.6 

39.5 

40.4 

41.4 

42.4 

43.4 

44.4 

45.5 

9 

46.5 

47.5 

48.6 

49.7 

50.7 

51.8 

52.9 

54.0 

55.1 

56.3 

10 

67.4 

58.6 

59.7 

60.9 

62.1 

63.3 

64.5 

65-7 

67.0 

68.2 

11 

69.5 

70.7 

71.9 

73.2 

74.5 

75.8 

77.1 

78.5 

79.8 

81.2 

12 

82.7 

84.0 

85.4 

86.8 

88.3 

89.7 

91.1 

92.6 

94.0 

95.5 

13 

97.0 

98.5 

100.0 

101.5 

103.1 

104.  6 

106.2 

107.7 

109.3 

110.9 

14 

112.5 

114.1 

115.7 

117.4 

119.0 

120.7 

122.4 

124.0 

125.7 

127.4 

15 

129.1 

130.9 

132.6 

134.3 

136.1 

137.9 

139.7 

141.5 

143.3 

145.1 

16 

146.9 

148.7 

150.6 

152.5 

154.4 

156.3 

158.2 

160.1 

162.0 

163.9 

17 

165.8 

167.8 

169.8 

171.7 

173.7 

175.7 

177.7 

179.7 

181.8 

183.8 

18 

185.9 

188.0 

190.1 

192.2 

194.3 

196.4 

198.5 

200.7 

202.8 

205.0 

19 

207.1 

209.3 

211.5 

213.7 

216.0 

218.2 

220.4 

222.7 

224.9 

227.2 

20 

229.5 

231.8 

234.2 

236.5 

238.8 

241.2 

243.5 

245.9 

248.3 

250.7 

21 

253.1 

255.5 

257.9 

260.4 

262.8 

265.3 

267.7 

270.2 

272.7 

275.2 

23 

277.7 

280.3 

282.8 

285.4 

288.0 

290.5 

293.1 

295.7 

298.3 

301.0 

23 

303.6 

306.2 

308.9 

311.5 

314.2 

316.9 

319.6 

322.3 

325.0 

327.8 

24 

330.5 

333.3 

336.1 

338.9 

341.7 

344.5 

347.3 

350.1 

352.9 

355.8 

25 

358.6 

361.5 

364.4 

367.3 

370.2 

373.1 

376.0 

379.0 

381.9 

384.9 

2ft 

387.9 

390.9 

393.9 

396.9 

400.0 

403.0 

406.0 

409.1 

412.2 

415.3 

27 

418.3 

421.4 

424.5 

427.7 

430.8 

434.0 

437.1 

440.3 

443.5 

446.7 

28 

449.9 

453.1 

456.3 

459.6 

462.8 

466.1 

469.4 

472.7 

476.0 

479.3 

2» 

482.6 

485.9 

489.3 

492.6 

496.0 

499.4 

502.8 

506.2 

509.6 

513.0 

30 

516.5 

519.9 

523.4 

526.8 

530.3 

533.8 

537.3 

540.8 

544.4 

647.9 

31 

551.5 

555.0 

558.6 

562.2 

565.8 

569.4 

573.0 

576.7 

580.3 

584.0 

32 

587.6 

591.3 

595.0 

598.7 

602.4 

606.1 

609.9 

613.6 

617.3 

621.1 

33 

624.9 

628.7 

632.5 

636.3 

640.2 

644.0 

647.9 

651.7 

655.6 

659.5 

34 

663.4 

667.3 

671.2 

675.1 

679.1 

683.0 

687.0 

690.9 

694.9 

698.9 

35 

702.9 

707.0 

711.0 

715.1 

719.1 

723.2 

727.3 

731.4 

735.5 

739.6 

3S 

743.7 

747.8 

752.0 

756.1 

760.3 

764.5 

768.7 

772.9 

777.1 

781.3 

37 

785.6 

789.8 

794.1 

798.4 

802.6 

806.9 

811.3 

815.6 

819.9 

824.2 

3S 

828.0 

833.0 

837.4 

841.8 

846.2 

850.6 

855.0 

859.4 

863.9 

868.3 

31 

872.8 

877.3 

881.8 

886.3 

890.8 

895.3 

899.9 

904.4 

909.0 

913.5 

40 

sis.1 

922.7 

927.3 

931.9 

936.6 

941.2 

945.9 

950.5 

955.2 

959.0 

HYDRAULIC   AND   EXCAVATION   TABLES. 
Table    46.—  Stadia  Table. 


157 


Slant 
distance 

100 

200 

300 

400 

600 

600 

700 

SCO 

900 

0°  «r 

0.06 
0.12 

0.1 

0.2 

0.2 

0.3 

0.2 
0.5 

0.3 
0.6 

0.3 
0.7 

0.4 
0.8 

0.5 
0.9 

0.5 
1.0 

V         6 

0.17 

0.3 

0.5 

0.7 

0.9 

1.0 

1.2 

1.4 

1.6 

8 

0.23 

0.5 

0.7 

0.9 

1.2 

1.4 

1.6 

1.9 

2.1 

10 

0.29 

0.6 

0.9 

1.2 

1.5 

1.7 

2.0 

2.3 

2.6 

12 

0.35 

0.7 

1.0 

1.4 

1.7 

2.1 

2.4 

2.8 

3.1 

14 

0.41 

0.8 

1.2 

1.6 

2.0 

2.4 

2.8 

3.3 

3.7 

16 

0.47 

0.9 

1.4 

1.9 

2.3 

2.8 

3.3 

3.7 

4.2 

18 

0.52 

.0 

1.6 

2.1 

2.6 

3.1 

3.7 

4.2 

4.7 

20 

0.58 

.2 

1.7 

2.3 

2.9 

3.5 

4.1 

4.6 

5.2 

23 

0.64 

.3 

1.9 

2.6 

3.2 

3.8 

4.5 

5.1   ' 

5.8 

it 

0.70 

.4 

2.1 

2.8 

3.5 

4.2 

4.9 

5.6 

6.3 

25 

0.76 

.5 

2.3 

3.0 

3.8 

4.5 

5.3 

6.0 

6.8 

2J 

0.81 

.0 

2.4 

3.2 

4.1 

4.9 

5.7 

6.5 

7.3 

33 

0.87 

.7 

2.6 

3.5 

4.4 

5.2 

€.1 

7.0 

7.8 

3? 

0.03 

.9 

2.8 

3.7 

4.6 

5.6 

6.5 

7.4 

8.4 

34 

0.99 

2.0 

3.0 

3.9 

4.9 

5.9 

C.9 

7.9 

8.9 

33 

1.05 

2.1 

3.1 

4.2 

5.2 

6.3 

7.3 

8.4 

9.4 

33 

1.11 

2.2 

3.3 

4.4 

5.5 

6.6 

7.7 

8.8 

9.9 

49 

1.16 

2.3 

3.5 

4.6 

5.8 

7'0 

8.1 

fl.3 

10.5 

y 

1.22 

2.4 

3.7 

4.9 

6.1 

7.3 

8.5 

9.8 

11.0 

41 

1.28 

2.6 

3.8 

5.1 

6.4 

7.7 

9.0 

10.2 

11.5 

43 

1.34 

2.7 

4.0 

5.3 

6.7 

8.0 

9.4 

10.7 

12.0 

43 

1.40 

2.8 

4.2" 

5.6 

7.0 

8.4 

9.8 

11.2 

12.5 

69 

1.45 

2.9 

4.4 

5.8 

7.2 

8.7 

10.2 

11.6 

13.1 

5? 

1.51 

3.0 

4.5 

6.0 

7.5 

9.1 

10.6 

12.1 

13.6 

54 

1.57 

3.1 

4.7 

6.3 

7.8 

9.4 

11.0 

12.6 

14.1 

66 

1.G3 

3.3 

4.9 

6.5 

8.1 

9.8 

11.4 

13.0 

14.6 

63 

1.G9 

3.4 

5.0 

6.7 

8.4 

10.1 

11.8 

13.5 

15.2 

69 

1.74 

3.5 

5.2 

7.0 

8.7 

10.5 

12.2 

14.0 

15.7 

10      y 

1.80 

3.6 

5.4 

7.2 

9.0 

10.8 

12.6 

14.4    • 

16.2 

4 

1.86 

3.7 

5.6 

7.4 

9.3 

11.2 

13.0 

14.9 

16.7 

6 

1.92 

3.8 

5.8 

7.7 

9.6 

11.5 

13.4 

15.4 

17.3 

8 

1.98 

4.0 

5.9 

7.9 

9.9 

11.9 

13.8 

15.8 

17.8 

10 

2.03 

4.1 

6.1 

8.1 

10.2 

12.2 

14.2 

16.3 

18.3 

13 

2.09 

4.2 

6.3 

8.4 

10.5 

12.6 

14.7 

16.7 

18.8 

14 

2.15 

4.3 

6.5 

8.6 

10.8 

12.9 

15.1 

17.2 

19.4 

16 

2.21 

4.4 

6.6 

8.8 

11.0 

13.3 

15.5 

17.7 

19.9 

18 

2.27 

4.5 

6.8 

9.1 

11.3 

13.6 

15.9 

18.1 

20.4 

20 

2.33 

4.7 

7.0 

9.3 

11.6 

14.0 

16.3 

18.6 

20.9 

23 

2.38 

4.8 

7.2 

9.5 

11.9 

14.3 

16.7 

19.1 

21.5 

ii 

2.44 

4.9 

7.3 

9.8 

12.2 

14.7 

17.1 

19.5 

22.0 

26 

2.50 

5.0 

7.5 

10.0 

12.5 

15.0 

17.5 

20.0 

22.5 

2S 

2.56 

5.1 

7.7 

10.2 

12.8 

15.3 

17.9 

2C.5 

23.0 

30 

2.62 

5.2 

7.8 

10.5 

13.1 

15.7 

18.3 

20.9 

23.5 

83 

2.67 

5.3 

8.0 

10.7 

13.4 

16.0 

18.7 

21.4 

24.1 

34 

2.73 

5.5 

8.2 

10.9 

13.7 

16.4 

19.1 

21.9 

24.6 

33 

2.79 

5.6 

8.4 

11.2 

14.0 

16.7 

19.5 

22.3 

25.1 

33 

2.85 

5.7 

8.5 

11.4 

14.2 

17.1 

19.9 

22.8 

25.6 

49 

2.91. 

5.8 

8.7 

11.6 

14.5 

17.4 

20.3 

23.3 

26.2 

43 

2.97 

5.9 

8.9 

11.9 

14.8 

17.8 

20.8 

23.7 

26.7 

41 

3.02 

6.0 

9.1 

12.1 

15.1 

18.1 

21.2 

24.2 

27.2 

40 

3.08 

6.2 

9.2 

12.3 

15.4 

18.5 

21.6 

24.6 

27.7 

43 

3.14 

6.3 

9.4 

12.6 

15.7 

18.8 

22.0 

25.1 

28.3 

69 

3.20 

6.4 

9.6 

12.8 

16.0 

19.2 

22.4 

25.6 

28.8 

63 

3.26 

6.5 

9.8 

13.0 

16.3 

19.5 

22.8 

26.0 

29.3 

61 

3.31 

6.6 

9.9 

13.2 

16.6 

19.9 

23.2 

26.5 

29.8 

63 

3.37 

6.7 

10.1 

13.5 

16.9 

20.2 

23.6 

27.0 

30.3 

63 

3.43 

6.9 

10.3 

13.7 

17.1 

20.6 

24.0 

27.4 

20.9 

0 

3.49 

7.0 

10.5 

li.O 

17.4 

20.9 

24.4 

27.9 

31.4 

Horizontal 
distance 

99.0 

199.8 

299-6 

39Q-S 

499-4 

500-3 

699-2 

799-0 

8984 

nYDKAri.IC    AND    EXCAVATION     TAill.RS. 
Table    46.-—5W/a  Table — Continued. 


Slant  distance 

100 

200 

300 

400 

300 

600 

700 

8CO 

900 

2O         2' 

3.55 

_____ 

10.6 

14.2 

17.7 

•j  :  .0 

24.8 

28.4 

319 

4 

3.00 

7.2 

10.8 

14.4 

18.0 

21.6 

25.2 

2S.8 

32.4 

6 

3.66 

7.3 

11.0 

14.6 

18.3 

22.0 

25.6 

29.3 

33.0 

8 

1   3.72 

7.4 

11.2 

14.9 

18.6 

22.3 

2C..O 

29.8 

33.5 

10 

3.78 

7.6 

11.3 

15.1 

18.9 

22.7 

30.2 

34.0 

12 

3.  84 

7.7 

11.5 

15.3 

10.2 

23.0 

20  /) 

30.7 

34.5 

14 

3.90 

7.8 

11.7 

15.6 

10.5 

23.4 

27.3 

31.2 

35.1 

16 

3.95 

7.9 

11.9 

15.8 

19.8 

23.7 

27.7 

31.6 

35.6 

18 

4.01 

8.0 

12.0 

16.0 

20.0 

24.1 

28.1 

32.1 

36.1 

20 

j   4.07 

8.1 

12.2 

16.3 

20.3 

24.4 

28.5 

32.5 

36.6 

22 

4.13 

8.3 

12.4 

16.5 

20.6 

24.8 

28.9 

33.0 

37.1 

24 

4.18 

8.4 

12.6 

16.7 

20.9 

25.1 

29.3 

33.5 

37.7 

26 

4.24 

8.5 

12.7 

17.0 

21.2 

25.5 

29.7 

33.9 

38.2 

28 

4.30 

8.6 

12.9 

17.2 

21.5 

25.8 

30.1 

34.4 

38.7 

30 

4.36 

8.7 

13.1 

17.4 

21.8 

2(5.1 

30.5 

34.9 

39.2 

32 

4.42 

8.8 

13.2 

17.7 

22.1 

20.5 

30.9 

35.3 

39.7 

34 

4.47 

8.9 

13.4 

17.9 

22.4 

26.8 

31.3 

35.8 

40.3 

36 

4.53 

9.1 

13.6 

18.1 

22.7 

27.2 

31.7 

36.3 

40.8 

38 

4.59 

9.2 

13.8 

18.4 

23.0 

27.5 

32.1 

36.7 

41.3 

40 

4.65 

9.3 

13.9 

18.6 

23.2 

27.9 

32.5 

37.2 

41.8 

42 

4.71 

9.4 

14.1 

18.8 

23.5 

28.2 

32.9 

37.6 

42.4 

44 

4.76 

9.5 

14.3 

19.1 

23.8 

28.t> 

33.3 

38.1 

42.9 

46 

4.82 

9.6 

14.5 

19.3 

24.1 

28.9 

33.8 

38.6 

43.4 

48 

4.88 

9.8 

14.6 

19.5 

24.4 

29.3 

34.2 

39.0 

43.9 

50 

4.94 

9.9 

14.8 

19.8 

24.7 

29.6 

34.6 

39.5 

44.4 

52 

5.00 

10.6 

15.0 

20.0 

25.0 

30.0 

35.0 

40.0 

45.0 

54 

5.05 

10.1 

15.2 

20.2 

25.3 

30.3 

35.4 

40.4 

45.5 

56 

5.11 

10.2 

15.3 

20.4 

25.6 

30.7 

35.8 

40.9 

46.0 

58 

5.17 

10.3 

15.5 

20.7 

25.8 

31.0 

36.2 

41.4 

46.5 

60 

5.23 

10.5 

15.7 

20.9 

26.1 

31.4 

36.6 

41.8 

47.1 

Horizontal  dist. 

99-7 

I99-S 

2Q9.2 

398.9 

498.7 

598.4 

698.1 

797-8 

897.5 

30         2' 

5.28 

10.6 

15.9 

21.1 

26.4 

31.7 

37.0 

42.3 

47.6 

4 

5.34 

10.7 

16.0 

21.4 

26.7 

32.1 

37.4 

42.7 

48.1 

6 

5.40 

10.8 

16.2 

21.6 

27.0 

32.4 

37.8 

43.2 

48.6 

8 

5.46 

10.9 

16.4 

21.8 

27.3 

32.7 

38.2 

43.7 

49.1 

10 

5.52 

11.0 

16.5 

22.1 

27.6 

33.1 

38.6 

44.1 

49.6 

12 

5.57 

11.1 

16.7 

22.3 

27.9 

33.4 

39.0 

44.6 

50.2 

14 

5.63 

11.3 

16.9 

22.5 

28.2 

33.8 

39.4 

45.0 

50.7 

16 

5.69 

11.4 

17.1 

22.8 

28.4 

34.1 

39.8 

45.5 

51.2 

18 

5.75 

11.5 

17.2 

23.0 

28  .7 

34.5 

40.2 

46.0 

51.7 

20 

5.80 

11.6 

17.4 

23.2 

29.0 

34.8 

40.6 

46.4 

52.2 

22 

5.86 

11.7 

17.6 

23.4 

29.3 

35.1 

41.0 

46.9 

52.8 

24 

5.92 

11.8 

17.8 

23.7 

29.6 

35.5 

41.4 

47.4 

53.3 

26 

5.98 

12.0 

17.9 

23.9 

29.9 

35.9 

41.8 

47.8 

53.8 

28 

6.04 

12.1 

18.1 

24.1 

30.2 

36.2 

42.2 

48.3 

54.3 

30 

6.09 

12.2 

18.3 

24.4 

30.5 

36.6 

42.6 

48.7 

54.8 

32 

6.15 

12.3 

18.4 

24.6 

30.8 

36.9 

43.0 

49.2 

55.4 

34 

6.21 

12.4 

1S.6 

24.8 

31.0 

37.3 

43.5 

49.7 

55.9 

36 

6.27 

12.5 

1S.8 

25.1 

31.3 

37.6 

43.9 

50.1 

56.4 

38 

6.32 

12.6 

19.0 

25.3 

31.6 

37.9 

44.3 

50.6 

56.9 

40 

6.38 

12.8 

19.1 

25.5 

31.9 

38.3 

44.7 

51.1 

57.4 

42 

6.44 

12.9 

19.3 

25.8 

32.2 

38.6 

45.1 

51.5 

58.0 

44 

6.50 

13.0 

19.5 

26.0 

32.5 

39.0 

45.5 

52.0 

58.5 

46 

6.55 

13.1 

19.7 

26.2 

32.8 

39.3 

45.9 

52.4 

59.0 

48 

6.61 

13.2 

19.8 

26.4 

33.1 

39.7 

46.3 

52.9 

59.5 

50 

6.67 

13.3 

20.0 

26.7 

33.4 

40.0 

46.7 

53.4 

60.0 

52 

6.73 

13.5 

20.2 

26.9 

33.6 

40.4 

47.1 

53.8 

60.6 

54 

6.78 

13.6 

20.4 

27.1 

33.9 

40.7 

47.5 

54.3 

61.1 

56 

6.84 

13.7 

20.5 

27.4 

34.2 

41.1 

47.9 

54.7 

61.6 

58 

6.90 

13.8 

20.7 

27.6 

34.5 

41.4 

48.3 

55.2 

62.1 

60 

6.96 

13.9 

20.9 

27.8 

34.8 

41.7 

48.7 

65.7 

62.6 

•Horizontal  dist. 

99-5 

100.0 

3  QX-5 

jytf.o 

4Q7-6 

597-1 

696.6 

796.1 

895.8 

HYDRAULIC   AXD   EXCAVATION    TABLES. 
Tiible    4.6. — Stadia  Table — Continued. 


159 


Slant  distance 

ICO 

200 

300 

400 

500 

600 

700 

SCO 

£00 

40       2' 

7.02 

14.0 

21.0 

28.1 

35.1 

42.1 

49.1 

56.1 

63.1 

4 

7.07 

14.1 

21.2 

28.3 

35.4 

42.4 

49.5 

50.6 

63.7 

6 

7.13 

14.3       21.4 

28.5 

35.7 

42.8 

49.9 

57.0 

64.2 

8 

7.1'.} 

14.4 

21.6 

2S.8 

35.9 

43.1 

50.3 

57.5 

64.7 

10 

7.25 

14.5 

21.7 

29.0 

36.2 

43.5 

50.7 

58.0 

65.2 

12 

7.30 

14.6 

21.9 

29.2 

36.5 

43.8 

51.1 

58.4 

65.7 

14 

7.36 

14.7 

•  22.1 

29.4 

36.8 

44.2 

51.5 

5S.9 

C6.2 

16 

7.42 

14.8 

22.3 

29.7 

37.1 

44.5 

51.9 

59.3 

C6.8 

18 

7.4S 

15.0 

22.4 

29.9 

37.4 

44.9 

52.3 

59.8 

67.3 

20 

7.53 

15.1 

22.6 

30.2 

37.7 

45.2 

52.7 

60.3 

67.8 

22 

7.59 

15.2 

22.8 

30.4 

38.0 

45.5 

53.1 

60.7 

68.3 

24 

7.65 

15.3 

22.9 

30.6 

38.2 

45.9 

53.5 

61.2 

68  .8 

26 

7.71 

15.4 

23.1 

30.8 

38.5 

46.2 

53.9 

61  .« 

69.  3 

28 

7.76 

15.5 

23.3 

31.1 

38.8 

46.6 

54.3 

62.1 

69.9 

30 

7.82 

15.6 

23.5 

31.3 

39.1 

46.9 

54.7 

62.6 

70.4 

32 

7.88 

15.8 

23.6 

31.5 

39.4 

47.3 

55.1 

63.0 

70.9 

34 

7.94 

15.9 

23.8 

31.7 

39.7 

47.6 

55.5 

63.5 

71.4 

36 

7.99 

16.0 

24.0 

32.0 

40.0 

48.0 

56.0 

63.9 

71.9 

38 

8.05 

16.1 

24.2 

32.2 

40.C 

48.3 

56.4 

64.4 

72.5 

40 

8.11 

16.2 

24.3 

32.4 

40.5 

48.6 

56.8 

64.9 

73.0 

42 

8.17 

16.3 

24.5 

32.7 

40.8 

49.0 

57.2 

65.3 

73.5 

44 

8.22 

16.4 

24.7 

32.9 

41.1 

49.3 

57.6 

65.8 

74.0 

46 

8.28 

16.6 

24.8 

33.1 

41.4 

49.7 

58.0 

66.2 

74.5 

48 

8.34 

16.7 

25.0 

33.4 

41.7 

50.0 

58.4 

66.7 

75.0 

50 

8.40 

16.8 

25.2 

33.6 

42.0 

50.4 

58.8 

67.2 

75.6 

52 

8.45 

16.9 

25.4 

33.8 

42.3 

50.7 

59.2 

67.6 

76.1 

54 

8.51. 

17.0 

25.5 

34.0 

42.6 

51.1 

59.6 

68.1 

76.6 

56 

8.57 

17.1 

25.7 

34.3 

42.8 

51.4 

60.0 

68.5 

77.1 

58 

8.63 

17.3 

25.9 

34.5 

43.1 

51.8 

60.4 

69.0 

77.6 

GO 

8.68 

17.4 

26.0 

34.7 

43.4 

52.1 

60.8 

69.5 

78.1 

Horizontal  dist. 

99-2 

198.3 

2Q7-7 

397-0 

496.2 

595-4 

694-7 

793-9 

893.0 

50       2' 

8.74 

17.5 

26.2 

35.0 

43.7 

52.4 

G1.2 

69.9 

78.7 

4 

8.80 

17.6 

26.4 

35.2 

44.0 

52.8 

61.6 

70.4 

79.2 

6 

8.85 

17.7 

26.6 

35.4 

44.3 

53.1 

62.0 

70.8 

79.7 

8 

8.91 

17.8 

26.7 

35.6 

44.6 

53.5 

62.4 

71.3 

80.2 

10 

8.97 

17.9 

26.9 

35.9 

44.8 

53.8 

62.8 

71.7 

80.7 

12 

9.03 

18.1 

27.1 

36.1 

45.1 

54.2 

63.2 

72.2 

81.2 

14 

9.08 

18.2 

27.2 

3G.3 

45.4 

54.5 

63.6 

72.7 

81.7 

16 

9.14 

18.3 

27.4 

36.6 

45.7 

54.8 

64.0 

73.1 

82.3 

18 

9.20 

18.4 

27.6 

36.8 

46.0 

55.2 

64.4 

73.6 

82.8 

20 

9.25 

18.5 

27.8 

37.0 

46.3 

55.5 

64.8 

74.0 

83.3 

22 

9.31 

18.6 

27.9 

37.2 

46.6 

55.9 

65.2 

74.5 

83.8 

24 

9.37 

18.7 

28.1 

37.5 

46.8 

56.2 

65.6 

74.9 

84.3 

26 

9.43 

18.9 

28.3 

37.7 

47.1 

56.6 

66.0 

75.4 

84.8 

28 

9.48 

19.0 

28.4 

37.9 

47.4 

56.9 

66.4 

75.9 

85.3 

30 

9.54 

19.1 

28.6 

38.2 

47.7 

57.2 

66.8 

76.3 

85.9 

32 

9.60 

19.2 

28.8 

38.4 

48.0 

57.6 

67.2 

76.8 

86.4 

34 

9.65 

19.3 

29.0 

38.6 

48.3 

57.9 

67.6 

77.2 

86.9 

36 

9.71 

19.4 

29.1 

38.8 

48.6 

58.3 

68.0 

77.7 

87.4 

38 

9.77 

19.5 

29.3 

39.1 

48.8 

58.6 

68.4 

78.1 

87.9 

40 

9.83 

19.7 

29.5 

39.3 

49.1 

59.0 

68.8 

78.6 

88.4 

42 

9.88 

19.8 

29.6 

39.5 

49.4 

59.3 

69.2 

79.0 

88.9 

44 

9.94 

19.9 

29.8 

39.8 

49.7 

59.6 

.  69.6 

79.5 

89.4 

46 

10.00 

20.0 

30.0 

40.0 

50.0 

60.0 

70.0 

80.0 

90.0 

48 

10.05 

20.1 

30.2 

40.2 

50.3 

60.3 

70.4 

80.4 

90.5 

50 

10.11 

20.2 

30.3 

40.4 

50.5 

60.7 

70.8 

80.9 

91.0 

52 

10.17 

20.3 

30.5 

40.7 

50.8 

61.0 

71.2 

81.3 

91.5 

54 

10.22 

20.4 

30.7 

40.9 

51.1 

61.3 

71.6 

81.8 

92.0 

56     10.28 

20.6 

30.8 

41.1 

51.4 

61.7 

72.0 

82.2 

92.5 

58 

10.33 

20.7 

31.0 

41.4 

51.7 

62.0 

72.4 

82.7 

93.0 

60 

10.40 

20.8 

31.2 

41.6 

52.0 

62.4 

72.8 

83.2 

93.6 

Horizontal  dist. 

08.0 

JQ7.8 

296.7 

395-6 

494-5 

593-5 

692.4 

79L3 

890.2 

160 


i  i  V  l.i KA  LJ  J  .1.0   A  NO  EXCAVATION    TABLES. 


Table    4&.— Stadia  Table—  Continued. 


Slant  distance 

100 

2CO 

300 

400 

500 

600 

70ft 

800 

60        2' 

10.45 

20.9 

31.4 

41.8 

52.3 

62.7 

73.2 

83.6 

i 

10.61 

21.0 

31.5 

42.0 

52.5 

63.1 

73.6 

84.1 

6 

10.57 

21.1 

31.7 

42.3 

52.8 

63.4 

74.0 

84.5 

8 

10.62 

21.2 

31.9 

42.5 

53.1 

63.7 

74.4 

85.0 

13 

10.63 

21.4 

32.0 

42.7 

53.4 

64.0 

74.8 

85.4 

if 

10.74 

21.5 

32.2 

42.9 

53.7 

64.4 

75.2 

85.9 

i4 

10.79 

21.6 

32.4 

43.2 

54.0 

64.8 

75.5 

86.3 

10 

10.85 

21.7 

32.5 

43.4 

54.2 

65.1 

75.9 

86.8 

13 

10.91 

21.8 

32.7 

43.6 

54.5 

65.4 

76.3 

87.2 

20 

10.96 

21.9 

32.9 

43.8 

54.8 

65.8 

76.7 

87.7 

23 

11.02 

22.0 

33.1 

44.1 

55.1 

66.1 

77.1 

88.2 

24 

11.08 

22.2 

33.2 

44.3 

55.4 

66.5 

77.5 

88.6 

20 

11.13 

22.3 

33.4 

44.5 

55.6 

66.8 

77.9 

89.1 

23 

11.19 

22.4 

33.6 

44.8 

55.9 

67.1 

78.3 

89.5 

33 

11.25 

22.5 

33.7 

45.0 

56.2 

67.5 

78.7 

90.0 

?2 

11.30 

22.6 

33.9 

45.2 

56.5 

67.8 

79.1 

90.4 

34 

11.36 

22.7 

34.1 

45.4 

56.8 

C8.2 

79.5 

90.9 

JO 

11.42 

22.8 

34.2 

45.7 

57.1 

68.5 

79.9 

91.3 

38 

11.47 

22.9 

34.4 

45.9 

57.4 

68.8 

80.3 

91.8 

It 

11.53 

23.1 

34.6 

46.1 

57.6 

69.2 

80.7 

92.2 

11 

11.59 

23.2 

34.8 

46.3 

57.9 

69.5 

81.1 

92.7 

44 

11.64 

23.3 

34.9 

46.6 

58.2 

G9.9 

81.5 

93.1 

It 

11.70 

23.4 

35.1 

46.8 

58.5 

70.2 

81.9 

93.0 

18 

11.76 

23.5 

35.3 

47.0 

58.8 

70.5 

82.3 

94.0 

£3 

11.81 

23.6 

35.4 

47.2 

59.1 

70.9 

82.7 

94.5 

12 

11.87 

23.7 

35.6 

47.5 

59.3 

71.2 

83.1 

95.0 

£4 

11.93 

23.9 

35.8 

47.7 

59.6 

71.6 

83.5 

95.4 

50 

11.98 

24.0 

35.9 

47.9 

59.9 

71.9 

83.9 

95.9 

£8 

12.04 

24.1 

36.1 

48.2 

60.2 

72.2 

84.3 

96.3 

CO 

12.10 

24.2 

36.3 

48.4 

60.5 

72.6 

84.7 

96.3 

Horieontal  cist. 

98^5 

197.0 

2Q5-5 

394-0 

492.6 

59I-* 

689.6 

788.1 

70        2' 

12.15 

24.3 

36.5 

48.6 

60.8 

72.9 

85.1 

97.2 

4 

12.21 

24.4 

36.6 

48.8 

61.0 

73.2 

85.5 

97.7 

0 

12.26 

24.5 

36.8 

49.1 

61.3 

73.6 

85.8 

98.1 

8 

12.32 

24.6 

37.0 

49.3 

61,6 

73.9 

86.2 

98.G 

10 

12.38 

24.8 

37.1 

49.5 

61.9 

74.3 

86.6 

99.0 

12 

12.43 

24.9 

37.3 

49.7 

G2.2 

74.6 

87.0 

99.5 

14 

12.49 

25.0 

37.5 

50.0 

C2.4 

74.9 

87.4 

99.9 

10 

12.55 

25.1 

37.6 

50.2 

G2.7 

75.3 

87.8 

100.4 

18 

12.60 

25.2 

?7.8 

50.4 

63.0 

75.6 

88.2 

100.8 

20 

12.66 

25.3 

38.0 

50.6 

63.3 

75.9 

88.6 

101.3 

23 

12.71 

25!4 

38.1 

50.9 

63.6 

76.3 

89.0 

101.7 

24 

12.77 

25.5 

38.3 

51.1 

63.8 

76.6 

89.4 

102.2 

20 

12.83 

25.7 

38.5 

51.3 

64.1 

77.0 

89.8 

102.6 

?8 

12.88 

25.8 

38.6 

51.5 

64.4 

77.3 

80.2 

103.1 

SO 

12.94 

25.9 

38.8 

51.8 

64.7 

77.6 

90.6 

103.5 

J3 

13.CO 

26.0 

39.0 

52.0 

65.0 

78.0 

91.0 

104.0 

£4 

13.05 

26.1 

39.2 

52.2 

65.3 

78.3 

91.4 

104.4 

?0 

13.11 

26.2 

39.3 

52.4 

65.5 

78.6 

91.7 

104.9 

S3 

13.16 

26.3 

39.5 

52.7 

65.8 

79.0 

92.1 

105.3 

40 

13.22 

26.4 

39.7 

52.9 

66.1 

79.3 

92.5 

105.8 

42 

13.28 

26.6 

39.8 

53.1 

66.  4 

79.7 

92.9 

106.2 

44 

13.23 

26.7 

40.0 

53.3 

GO.  7 

80.0 

93.2 

106.7 

40 

13.c9 

26.8 

40.2 

53.6 

66.9 

80.3 

93.7 

107.1 

48 

13.44 

26.9 

40.3 

53.8 

67.2 

80.7 

94.1 

107.6 

53 

13.50 

27.0 

40.5 

54.0 

67.5 

81.0 

94.5 

108.0 

52 

13.56 

27.1 

40.7 

54.2 

67.8 

81.3 

94.9 

108.5 

M 

13.61 

27.2 

40.8 

54.5 

68.1 

81.7 

95.3 

108.9 

fO 

13.'G7 

27.3 

41.0 

54.7 

68.3 

82.0 

95.7 

109.4 

58 

13.73 

27.5 

41.2 

54.9 

6S.6 

82.3 

96.1 

109.8 

CO 

13.73 

27.6 

41.3 

55.1 

68.9 

82.7 

96.  4 

110.3 

Horizontal  dist. 

cS.i 

106.1 

294.2 

392.2 

490.3 

388.4 

686.4 

784  -3 

lM .1C    A  NO  EXCAVATION    TABLES. 
Table     4i\ -Stadia  Table — Continued. 


161 


' 
Slant  distance 

103        231) 

300 

400 

500 

600 

700 

800 

80       5' 

13.92  I  27.  S 

41.S 

55.7 

69.6 

83.5 

97.4 

111.4 

10 

H.  (',:.>      2S.1 

42.2 

56.2 

70.3 

84.4 

98.4 

112.5 

15 

14.20      2S.J 

42.6 

56.8 

71.0 

85.2 

99.4 

113.6 

20 

14.34  1   2S.7 

43.0 

57.4 

71.7 

86.0 

100.4 

114.7 

25 

14.48 

29.0 

43.4 

57.9 

72.4 

86.9 

101.4 

115.8 

30 

14.02 

29.2 

43.9 

58.5 

73.1 

87.7 

102.3 

116.9 

35 

14.76 

29.5 

44.2 

59.0 

73.7 

88.4 

103.1 

117.8 

40 

14.90 

29.8 

44.7 

59.6 

74.5 

89.4 

104.3 

119.2 

45 

15.04 

30.1 

45.1 

60.1 

75.2 

90.2 

105.2 

120.3 

50 

15.17 

30.3 

45.5 

60.7 

75.9 

91.0 

106.2 

121.4 

£5 

15.31 

30.6 

45.9 

61.2 

76.6 

91.9 

107.2 

122.5 

60 

15.45 

30.9 

46.4 

61.8 

77.3 

92.7 

108.2 

123.6 

Horizontal  dint. 

07.5 

195.1 

292.7 

390.2 

487.8 

585.3 

682.9 

780.4 

90       5' 

15.59 

31.3 

46.8 

62.4 

77.9 

93.5 

109.1 

124.7 

to 

15.73 

31.5 

47.2 

62.9 

78.6 

94.5 

110.2 

125.9 

y 

15.86 

31.7 

47.6 

63.5 

79.3 

95.2 

111.1 

126.9 

20 

16.00 

32.0 

48.0 

64.0 

80.0 

96.0 

112.0 

128.0 

25 

16.14 

32.3 

48.4 

64.6 

80.7 

96.8 

113.0 

129.0 

20 

16.28 

32.6 

48.8 

65.1 

81.4 

97.7 

113.9 

130.2 

25 

16.42 

32.8 

49.2 

65.7 

82.1 

98.5 

114.9 

131.3 

40 

16.55 

33.1 

49.7 

66.2 

82.8 

99.3 

115.9 

132.4 

45 

16.69 

33.4 

50.1 

66.8 

83.5 

100.1 

116.8 

133.5 

$0 

16.83 

33.7 

50.5 

67.3 

84.4 

101.0 

117.8 

134.6 

55 

16.96 

33.9 

50.9 

67.9 

84.8 

101.8 

118.7 

135.7 

60 

17.10 

34.2 

51.3 

68.4 

85.5 

102.6 

119.7 

136.8 

Borizontal  dist. 

97.0 

104.0 

291.0 

3*7-9 

484.9 

581.9 

678.9 

775.9 

-g  r\o    .5' 
I  U      10 

17.24 
17.37 

34.5 
34.7 

51..  7 
52.1 

68.9 
69.5 

86.2 
86.9 

103.4 
104.2 

120.7 
121.6 

137.9 
139.0 

^-^      t/i 

17.51 

35.0 

52.5 

70.0 

87.6 

105.1 

122.6 

140.1 

30 

17.85 

35.3 

52.9 

70.6 

88.2 

105.9 

123.5 

141.2 

25 

17.78 

35.6 

53.3 

71.1 

88.9 

106.7 

124.5 

142.3 

30 

17,92 

35.8 

53.8 

71.7 

89.6 

107.5 

125.4 

143.3 

35 

18.05 

36.1 

54.2 

72.2 

90.3 

108.3 

126.4 

144.4 

40 

18.19 

36.4 

54.6 

72.7 

90.9 

109.1 

127.3 

145.5 

45 

18.37 

36.6 

55.0 

73.4 

91.8 

110.1 

128.5 

146.9 

50 

18.46 

36.9 

55.4 

73.8 

92.3 

110.8 

129.2 

147.7 

65 

18.60 

37.2 

55.8 

74.4 

93.0 

111.6 

130.2 

148.8 

60 

18.73 

37.5 

56.2 

74.9 

93.7 

112.4 

131.1 

149.8 

"tTorizontal  dist. 

96.4 

193.7 

289.1 

385-4 

481.8 

578.2 

674-5 

770.9 

4    <f  o       5' 

18.86 

£7.7 

56.6 

75.5 

94.3 

113.2 

132.1 

150.9 

10 

19.00 

38,0 

57.0 

76.0 

95.0 

114.0 

133.0 

152.0 

*   *          15 

19.13 

/iH.3 

57.4 

76.5 

95.7 

114.8 

133.9 

153.1 

33 

10.27      38.5 

57.8 

77.1 

96.3 

115.6 

134.9 

154.1 

25 

19.40      38.8 

58.2 

77.6 

97.0 

116.4 

135.8 

155.2 

^0 

19.54      o'U 

58.6 

78.1 

97.7 

117.2 

136.8 

156.3 

25 

19.IVT      39.3 

59  '.0 

7S.7 

98.4 

118.0 

137.7 

157.4 

K 

J9.SO  ;  39.6 

59.4 

79.2 

99.0 

118.8 

138.6 

158.4 

45 

19.94 

39.9 

59.8 

79.7 

99.7 

119.6 

139.6 

159.5 

50 

20.07 

40.1 

60.2  j  8.0.3 

100.4 

120.4 

140.5 

160.6 

45    i  20.20  i  4.0.4 

60.6  .1  80.8 

101.0 

121.2 

141.4 

161.6 

60    |  20.34  1  40.7 

61.61  SI.  4 

101.7 

122.0 

142.4 

162.7 

'i              i 
Borizontal  dist.  1    £5.7    1  rp/..? 

287  .0  i  382.7 

478.4 

674.1 

669.7 

765.4 

162  HYDBAUHC    AND   EXCAVATION    TABLES. 

Table    46.—  Stadia  Table — Continued. 


1 

Slant  distance 

100 

200 

300 

409 

500 

609 

700 

800 

900 

1  />o       5' 

20.47 

40.9 

01.4 

81.9 

102.3 

122.8 

143.3 

163.8 

184.2 

2r          10 

20.  GO 

41.2 

61.8 

82.4 

103.0 

123.6 

144.2 

164.8 

185.4 

•*•?•*        15 

20.73 

41.5 

62.2 

82.9 

103.7 

124.4 

145.1 

165.9 

186.6 

20 

20.87 

41.7 

62.6 

83.5 

104.3 

125.2 

145.1 

166.9 

187.8 

25 

XJ1.00 

42.0 

63.0 

84.0 

105.0 

126.0 

147.0 

168.0 

189.0 

30 

21.13 

42.3 

63.4 

84.5 

105.7 

126.8 

147.9 

169.0 

190.2 

35 

21.26 

42.5 

63.8 

85.1 

106.3 

127.6 

148.8 

170.1 

191.4 

40 

21.39 

42.8 

64.2 

85.6 

107.0 

128.4 

149.8 

171.2 

192.5 

45 

21.52 

43.1 

64.6 

86.1 

107.6 

129.2 

150.7 

172.2 

193.7 

50 

21.66 

43.3 

65.0 

86.6 

108.3 

129.9 

151.6 

173.2 

194.9 

55 

21.79 

43.6 

65.4 

87.2 

108.9 

130.7 

152.5 

174.3 

196.1 

60 

21.92 

43.  S 

05.7 

87.7 

109.6 

131.5 

153.4 

175.3 

197.3 

Horizontal  disl. 

94.9 

189.9 

284.8 

379-8 

474.7 

569.6 

664.6 

759-5 

854.5 

•4   /-to       5' 

22.05 

44.1 

66.1 

88.2 

110.2 

132.3 

154.3 

176.3 

198.4 

1  />        10 

22.18 

44.4 

66.5 

88.7 

110.9 

133.1 

155.3 

177.4 

199.6 

A%^        15 

22.31 

44.6 

66.9 

89.2 

111.6 

133.9 

156.2 

178.5 

200.8 

20 

22.44 

44.9 

67.3 

89.8 

112.2 

134.6 

157.1 

179.5 

202.0 

25 

22.57 

45.1 

67.7 

90.3 

112.8 

135.4 

158.0 

180.6 

203.1 

30 

22.70 

45.4 

68.1 

90.8 

113.5 

136.2 

158.9 

181.6 

204.3 

35 

22.83 

45.7 

68.5 

91.3 

114.1 

137.0 

159.8 

182.6 

205.0- 

40 

22.96 

45.9 

68.9 

91.8 

137.7 

160.7 

183.7 

206.6 

45 

23.09 

46.2 

69.3 

92.4 

115^4 

138.5 

161.6 

184.7 

207.8 

50 

23.22 

46.4 

69.6 

92.9 

116.1 

139.3 

162.5 

185.7 

208.9 

6d 

23.35 

46.7 

70.0 

93.4 

116.7 

140.1 

163.4 

186.8 

210.1 

40 

23-47 

46.9 

70.4 

93.9 

117.4 

140.8 

164.3 

187.8 

211.3 

Horizontal  dist. 

94.2 

188.3 

282.4 

376.6 

470.7 

564.9 

659.0 

753.2 

847.3 

14°  » 

A^r        15 

23.60 
23.73 
23.S6 

47.2 
47.5 
47.7 

70.8 
71.2 
71.6 

94.4 
94.9 

95.4 

118.0 
118.6 
119.3 

141.6 
142.4 
143.2 

165.2 
166.1 
167.0 

188.8 
189.8 
190.9 

212.4 
213.6 
214.7 

20 

23.99 

48.0 

72.0 

95.9 

119.9 

143.9 

167.9 

191.8 

215.9 

25 

24.11 

48.2 

72.3 

96.5 

120.6 

144.7 

168.8 

192.9 

217.0 

30 

24.24 

48.5 

72.7 

97.0 

121.2 

145.4 

169.7 

193.9 

218.2 

35 

24.37 

48.7 

73.1 

97.5 

121.8 

146.2 

170.6 

194.9 

219.3 

40 

24.49 

49.0 

73.5 

98.0 

122.5 

147.0 

171.5 

136.0 

220.4 

45 

24.62 

49.2 

73.9 

98.5 

123.1 

147.7 

172.3 

197.0 

221.6 

50 

24.75 

49.5 

74.2 

99.0 

123.7 

148.5 

173.2 

198.0 

222.7 

55 

24.87 

49.7 

74.6 

99.5 

124.4 

149.2 

174.1 

199.0 

223.9 

60 

25.00 

50.0 

75.0 

100.0 

125.0 

150.0 

175.0 

200.0 

225.0 

Horizontal  dist. 

93.3 

186.6" 

279.9 

373.2 

466.5 

559.8 

68  3.1 

786.4 

839.7 

. 

25.13 

50.3 

75.4 

100.5 

125.6 

150.8 

175.9 

201.0 

226.1 

I    ^%         10 

25.25 

50.5 

75.8 

101.0 

126.3 

151.5 

176.8 

202.0 

227.3 

**J         15 

25.38 

50.8 

76.1 

101.5 

126.9 

152.3 

177.6 

203.0 

228.4 

20 

25.50 

51.0 

76.5 

102.0 

127.5 

153.0 

178.5 

204.0 

229.5 

25 

25.63 

51.3 

76.9 

102.5 

128.1 

153.8 

179.4 

205.0 

230.6 

30 

25.75 

51.5 

77.3 

103.0 

128.8 

154.5 

180.3 

206.0 

231.8 

35 

25.88 

51.8 

77.6 

103.5 

129.4 

155.3 

181.1 

207.0 

232.9 

40 

26.00 

52.0 

78.0 

104.0 

130.0 

156.0 

182.0 

208.0 

234.0 

45 

26.13 

52.2 

78.4 

104.5 

130.6 

156.7 

182.9 

209.0 

235.1 

50 

26.25 

52  5 

78.7 

105.0 

131.2 

157.5 

183.7 

210.0 

236.2 

55 

26  37 

52.7 

79.1 

105.5 

131.9 

158.2 

184.6 

211.0 

237.4 

60 

26.50 

53.0 

79.5 

106.0 

132.5 

159.0 

185.5 

212.0 

238.5 

Horizontal  dist. 

92.4 

184.8 

277.2 

369-6 

462.0 

.1*4.4 

646.8 

739-2 

831.6 

HYDRAULIC   AND  EXCAVATION    TABLES.  163 

Table    4.6.— Stadia  Table — Continued. 


Slant  distance 

100 

200 

300 

400 

500 

600 

700 

800 

900 

^0       5' 

26.62 

53.2 

79.9 

106.5 

133.1 

159.7 

186.3 

213.0 

239.6 

1  O     10 

26.74 

53.5 

80.2 

107.0 

133.7 

160.5 

187.2 

213.9 

240.7 

•*•  ^        15 

26.86 

53.7 

80.6 

107.5 

134.3 

161.2 

188.0 

214.9 

241.8 

20 

26.99 

54.0 

81.0 

108.0 

134.9 

161.9 

188.9 

215.9 

242.9 

25 

27.11 

54.2 

81.3 

108.4 

135.6 

162.7 

189.8 

216.9 

244.0 

30 

27.23 

54.5 

81.7 

108.9 

136.2 

163.4 

190.6 

217.9 

245.1 

35 

27.35 

54.7 

82.1 

109.4 

136.8 

164.1 

191.5 

218.8 

246.2 

40 

27.48 

55.0 

82.4 

109.9 

137.4 

164.9 

192.4 

219.8 

247.3 

45 

27.60 

55.2 

82.8 

110.4 

138.0 

165.6 

193.2 

220.8 

248.4 

50 

27.72 

55.4 

83.2 

110.9 

138.6 

166.3 

194.0 

221.7 

249.5 

55 

27.84 

55.7 

83.5 

111.4 

139.2 

167.0 

194.9 

222.7 

250.6 

60 

27.96 

55.9 

83.9 

111.8 

139.8 

167.8 

195.7 

223.7 

251.6 

Horizontal  dist. 

91.4 

183 

274 

J55 

40 

&P 

640 

732 

823 

-g   ^70       5' 

1  /    ** 

28.08 
28.20 

56.2 
56.4 

84.2 
84.6 

112.3 
112.8 

140.4 
141.0 

168.5 
169.2 

196.6 
197.4 

224.6 
225.6 

252.7 
253.8 

*•  *          15 

28.32 

56.6 

85.0 

113.3 

14T.6 

169.9 

198.2 

226.6 

254.9 

20 

28.44 

56.9 

85.3 

113.8 

142.2 

170.6 

199.1 

227.5 

256.0 

25 

28.56 

57.1 

85.7 

114.2 

142.8 

171.4 

199.9 

228.5 

257.0 

30 

28.68 

57.4 

86.0 

114.7 

143.4 

172.1 

200.8 

229.4 

258.1 

35 

28.80 

57.6 

86.4 

115.2 

144.0 

172.8 

201.6 

230.4 

259.2 

40 

28.92 

57.8 

86.7 

115.7 

144.6 

173.5 

202.4 

231.3 

260.2 

45 

29.04 

58.1 

87.1 

116.1 

145.2 

174.2 

203.2 

232.3 

261.3 

50 

29.15 

58.3 

87.5 

116.6 

145.8 

174.9 

204.1 

233.2 

262.4 

55 

29.27 

58.5 

87.8 

117.1 

146.4 

175.6 

204.9 

234.2 

263.4 

60 

29.39 

58.8 

88.2 

117.6 

146.9 

176.3 

205.7 

235.1 

264.5 

Horizontal  dist. 

90.4 

181 

271 

362 

<3* 

543 

633 

724 

814 

18°  i 

29.51 
29.62 
29.74 

59.0 
59.2 
59.5 

88.5 
88.9 
89.2 

118.0 
118.5 
119.0 

147.5 
148.1 
148.7 

177.0 
177.7 
178.4 

206.5 
207.4 
208.2 

236.1 
237.0 
237.9 

265.6 
266.6 
267,7 

23 

29.86 

59.7 

89.6 

119.4 

149.3 

179.1 

209.0 

238.9 

268.7 

25 

29.97 

59.9 

89.9 

119.9 

149.9 

179.8 

209.8 

239.8 

269.8 

30 

30.09 

60.2 

90.3 

120.4 

150.5 

180.5 

210.6 

240.7 

270.8 

35 

30.21 

60.4 

90.6 

120.8 

151.0 

181.2 

211.4 

241.7 

271.9 

40 

30.32 

60.6 

91.0 

121.3 

151.6 

181.9 

212.3 

242.6 

272.9 

45 

30.44 

60.9 

91.3 

121.8 

152.2 

182.6 

213.1 

243.5 

273.9 

50 

30.55 

61.1 

91.7 

122.2 

152.8 

183.3 

213.9 

244.4 

275.0 

55 

30.67 

61.3 

92.0 

122.7 

153.3 

184.0 

214.7 

245.4 

276.0 

60 

3G.78 

61.6 

92.3 

123.1 

153.9 

184.7 

215.5 

246.3 

277.0 

Horizontal  dist. 

89.4 

179 

268 

j 

4-7 

336 

(,'6 

715 

805 

30.90 

61.8 

92.7 

123.6 

154.5 

185.4 

216.3 

247.2 

278.1 

\  ^^        13 

31.01 

62.0 

93.0 

124.0 

155.1 

186.1 

217.1 

248.1 

279.1 

•*•  -^         13 

31.12 

62.3 

93.4 

124.5 

155.6 

186.8 

217.9 

249.0 

280.1 

23 

31.24 

62.5 

93.7 

125.0 

156.2 

187.4 

218.7 

249.9 

281.2 

25 

31.35 

62.7 

94.1 

125.4 

156.8 

188.1 

219.5 

250.8 

282.2 

39 

31.47 

62.9 

94.4 

125.9 

157.3 

188.8 

220.3 

251.7 

283.2 

35 

31.58 

63.2 

94.7 

126.3 

157.9 

189.5 

221.1 

252.6 

284.2 

40 

31.69 

63.4 

95.1 

126.8 

158.5 

190.1 

221.8 

253.5 

285.2 

45 

31.80 

63.6 

95.4 

127.2 

159.0 

190.8 

222.6 

254.4 

286.2 

50 

31.92 

63.8 

95.7 

127.7 

159.6 

191.5 

223.4 

255.3 

287.2 

5$ 

32.03 

64.1 

96.1 

128.1 

160.1 

192.2 

224.2 

256.2 

288.3 

60 

32.14 

64.3 

96.4 

128.6 

160.7 

192.8 

225.0 

257.1 

289.3 

Horizontal  dist. 

88.3 

177 

265 

353 

442 

530 

6iS 

706 

793 

1G4  HYDRAULIC  AND  EXCAVATION   TABLES. 

Tablo   47» — Values  of  c  for  use  in  the  Cliezy  formula 


\ 

r\ 

000 

.010 

.011 

.013 

.013 

.014  '.015 

I 

.017  .030 

.0335 

.025 

.030 

.035 

.040 

Slope  s  =  .00005  =  1  iu  20,000  =  0.264  feet  per  mile. 


.1 

7S 

67 

59 

52 

47 

43 

39 

33 

26 

22 

20 

16 

13' 

11 

.53 

100 

87 

77 

68 

62 

56 

51 

44 

3-> 

30 

26 

21 

H 

16 

.->, 

111 

99 

83 

79 

71 

65 

59 

50 

41 

36 

31 

25 

21 

18 

ft 

124 

109 

97 

88 

79 

72 

C6 

57 

46 

40 

85 

2S 

24 

20 

.6 

139 

122 

10.) 

9i 

90 

82 

7i 

6") 

53 

46 

41 

83 

28 

24 

.8 

150 

138 

11.) 

107 

93 

90 

F3 

71 

59 

52 

46 

87 

31 

27 

1.O 

140 

l-'G 

114 

104 

% 

89 

77 

64 

56 

49 

40 

31 

29 

1.5 

154 

1-9 

126 

116 

107 

99 

87 

72 

61 

57 

47 

40 

34 

3 

184 

164 

i4* 

13") 

124 

107 

94 

79 

70 

f2 

51 

44 

38 

3 

198 

•J78 

161 

14  S 

136 

127 

US 

101 

88 

79 

71 

59 

50 

44 

*3.38 

2  <1 

181 

l"l 

151 

139 

129 

121 

ItW 

91 

81 

72 

60 

52 

46 

4 

207 

187 

170 

156 

145 

136 

126 

111 

95 

85 

77 

61 

56 

49 

6 

220 

199 

182 

168 

156 

116 

137 

122 

10') 

94 

8-> 

72 

€3 

56 

1O 

234 

212 

195 

181 

169 

158 

119 

134 

116 

105 

96 

82 

72 

64 

2O  - 

250 

2_8- 

1.-H 

1JJ6 

1^-4 

174 

165 

149 

131 

120 

110 

96 

86 

77 

50 

215 

228 

213 

201 

1  0 

181 

lf,5 

148 

136 

127 

112 

101 

98 

100 

275 

254 

237 

222 

21J 

20J 

190 

175 

158 

146 

137 

123 

112 

104 

Slope  5  =  .0001  =  1  in  10,000  =  0.528  feet  per  mile. 


.1 

901  78 

68 

C0|  54 

49 

44 

37 

30 

25 

22 

17 

14 

12 

.8 

112 

98 

8«> 

76 

69 

63 

57 

48 

39 

33 

29 

23 

1J 

16 

.3 

125 

109 

97 

87 

78 

72 

65 

56 

45 

39 

34 

27 

22 

19 

.4 

135 

119 

106 

B6 

86 

79 

72 

62 

50 

43 

88 

31 

25 

22 

.6 

149 

131 

118 

105 

CG 

88 

£1 

70 

57 

50 

44 

85 

30 

25 

,8 

158 

140 

126 

IU 

103 

95 

88 

76 

63 

55 

48 

39 

33 

28 

l.O 

166 

147 

132 

120 

109 

101 

93 

81 

67 

59 

52 

42 

35 

31 

1.5 

178 

159 

144 

130 

120 

111 

103 

89 

75 

66 

59 

4> 

41 

85 

2 

187 

168 

151 

138 

127 

118 

109 

s  96 

81 

71 

64 

53 

45 

39 

3 

198 

178 

162 

149 

137 

127 

119 

104 

89 

79 

71 

59 

51 

45 

4 

206 

]86 

1G9 

155 

143 

134 

125 

111 

94 

84 

76 

64 

55 

49 

6 

215 

195 

178 

1G4 

152 

142 

134 

119 

102 

92 

84 

71 

61 

54 

±O 

226 

i!05 

188 

174 

162 

152 

143 

128 

111 

100 

92 

78 

69 

62 

3O 

237 

216 

2  0 

185 

173 

163 

154 

189 

122 

111 

102 

89 

79 

71 

5O 

249 

227 

211 

107 

185 

175 

106 

151 

131 

123 

ll'l 

100 

91 

83 

JOO 

255 

234 

218 

204 

191 

181 

172 

15S 

1O 

130 

121 

108 

98 

91 

Slope  s  =  .0002  =  1  ill  5,000  =  1.056  feet  per  mile. 


.1 

991  85 

74 

65 

59 

53 

48 

41 

32 

27 

24 

18 

15 

12 

.8 

121  !  105 

i)3 

83 

74 

67 

61 

£2 

42 

30 

SI 

25 

21 

17 

.3 

133  116 

103 

92 

83 

76 

CO 

59 

48 

42 

36 

29 

24 

20 

A 

143 

125 

112 

100 

91 

83 

76 

65 

53 

46 

40 

32 

27 

23 

.6 

155 

138 

122 

111 

ICO 

92 

85 

73 

GO 

52 

46 

37 

31 

2G 

.8 

164 

145 

181 

118 

107 

99 

91 

79 

65 

57 

50 

41 

S4 

29 

1.O 

170 

151 

13G 

123 

113 

104 

96 

83 

69 

60 

54 

44 

37 

32 

1.5 

181 

162 

146  j  133 

122 

113 

105 

91 

77 

67 

60 

49 

42' 

86 

ft 

138 

170 

154 

140 

129 

119 

111 

97 

82 

72 

G4 

54 

45 

40 

3 

200 

179 

163 

14!) 

137 

128 

119 

105 

89 

79 

72 

59 

51 

45 

4 

205 

185 

16$ 

155 

143 

131 

125 

111 

94 

84 

7G 

63 

55 

48 

6 

213 

193 

176 

162 

150 

140 

132 

117  i  li.O 

90 

82 

69 

60 

53 

16 

222 

201 

185 

170 

158 

148 

HO 

12o 

10S 

98 

89 

76 

67 

60 

3O 

231 

210 

194 

180 

168 

158 

149 

134 

117 

If6 

98 

85 

76 

68 

5O 

210 

220 

203 

189 

177 

K.7 

158 

1-13 

126 

116 

108 

94 

85 

78 

100 

245 

224 

2(.8 

194 

132 

172 

163 

148 

131 

121 

113 

99 

«j;)  i  83 

*  Values  of  c  are  the  same  for  all  slopes  when"  >=3.28  feet. 

HYDRAULIC  AND  EXCAVATION   TABLES. 


165 


Table  4=7* — Values  of  c  for  use  in  the  Chezy  formula 
— Continued. 


.000 


.0101.011 


.01%  .013  .014 


t.015.O17|.O3O, 


.0335.025 


.030  .035  .040 


Slope  *  =  .0004=  1  in  2.500  =2.112  feet  per  mile. 


.1 

104 

89 

78 

69 

62 

56 

50 

43 

84 

2J 

25 

Ifl 

16 

13 

.3 

126 

110 

97 

87 

?s 

71 

65 

54 

44 

37 

32 

25 

21 

M 

.3 

138 

T20 

107 

9£ 

87 

79 

73 

62 

50 

43 

37 

30 

24 

21 

.4 

148 

129 

115 

104 

94 

86 

79 

68 

55 

47 

42 

33 

27 

23 

.6 

In? 

140 

12:> 

113 

103 

95 

87 

75 

62 

54 

47 

38 

SI 

27 

.8 

166 

14  * 

133 

121 

110 

101 

93 

81 

67 

58 

51 

42 

£5 

33 

1.0 

172 

154 

138 

125 

115 

1C3 

98 

85 

70 

62 

55 

45 

S7 

32 

1.5 

183 

164 

148 

185  124 

114 

106 

93 

78 

68 

61 

50 

42 

37 

9 

190 

17) 

154 

141 

130 

120 

112 

98 

83 

73 

65 

54 

45 

40 

3 

1U9 

a  79 

162 

149 

138 

128 

119 

105 

89 

79 

71 

59 

51 

45 

4 

204 

184 

168 

1^4 

142 

133 

124 

110 

94 

84 

76 

63 

55 

48 

6 

211 

191 

175 

161 

149 

139 

ISO 

116 

99 

89 

81 

69 

60 

53 

1O 

219 

199 

183 

irs 

157 

146 

138 

123 

107 

96 

88 

75 

66 

59 

80 

227 

207 

19) 

176 

164 

154 

146 

131 

115 

104 

96 

83 

73 

66 

5O 

235 

215 

198 

184 

173 

162 

154 

139 

123 

112 

101 

91 

82 

75 

100 

239 

219 

203 

189 

177 

167 

15H 

143 

127 

116 

108 

96 

87 

80 

Slope  s  =  .001  =  1  in  1,000  =  5.28  feet  per  mile. 


.1 

110 

94 

83 

73 

65 

59 

54 

45 

36 

30 

27 

21 

17 

14 

.3 

129 

113 

99 

89 

81 

73 

66 

57 

45 

39 

34 

27 

22 

18 

.3 

141 

124  • 

109 

93 

89 

81 

74 

63 

51 

44 

39 

30 

25 

21 

.4 

150 

151 

117 

105 

96 

88 

80 

69 

56 

48 

43 

34 

28 

24 

.6 

161 

112 

127 

115 

101 

% 

83 

76 

63 

55 

48 

159 

32 

27 

.8 

103 

150 

131 

122 

111 

102 

94 

82 

68 

50 

52 

42 

35 

30 

1.0 

175 

155 

1S9 

127 

116 

•107 

99 

86 

71 

62 

56 

45 

38 

33: 

1.5 

184 

165 

149 

136 

124 

115 

10S 

93 

78 

69 

62 

50 

43 

37  < 

2 

191 

171 

155 

M2 

180 

121 

112 

98 

83 

73 

66 

54 

46 

40 

3 

190 

179 

103 

149 

138 

128 

119 

105 

80 

79 

71 

59 

51 

45 

4 

201 

1S4 

168 

154 

142 

133 

121 

no 

93 

83 

75 

63 

54 

48 

6 

211 

190 

174 

160 

149 

139 

130 

116 

99 

89 

81 

68 

59 

12 

10 

218 

197 

1S1 

167 

155 

145 

ICQ 

122 

105 

95 

87 

74 

65 

58 

30 

225 

2)5 

188 

175 

188 

153 

144 

129 

113 

102 

91 

81 

72 

05 

5O 

232 

2V2 

196 

182 

J70 

ll'O 

151 

137 

120 

110 

101 

89 

79  , 

72 

10O 

236 

216 

200 

ISO 

174 

164 

155 

141 

124 

114 

10") 

94 

85  ' 

77 

Slope  s  =  .01  =  1  in  100  =  52  .G  feet  per  mile. 


.1 

110 

95 

83 

74 

6<> 

60 

64 

40 

36 

31 

27 

21 

17 

14 

.3 

13J 

114 

100 

90 

81 

74 

67 

57 

46 

39 

34 

27 

22 

19 

.3 

113 

125 

111 

100 

90 

83 

70 

64 

52 

45 

39 

31 

25 

22 

.4 

151 

133 

119 

107 

98 

89 

82 

70 

57 

49 

44 

35 

29 

24 

.6 

162 

113 

129 

116 

106 

98 

.90 

77 

64 

55 

49 

39 

33 

28 

.8 

170 

151 

135 

123 

112 

103 

95 

?2 

68 

60 

53 

43 

3-3  , 

31 

1.0 

175 

156 

141 

128 

117 

ins 

•99 

87 

72 

63 

56 

45 

88  ' 

33 

1.5 

185 

165 

149 

130 

125 

116 

107 

94 

79 

69 

62 

51 

43 

37 

2 

191 

171 

In5 

142 

130 

121 

112 

99 

83 

74 

66 

55 

46 

40 

3 

199 

179 

162 

149 

138 

128 

119 

105 

89 

79 

71 

59 

51 

45 

4 

204 

1*4 

167 

154 

142 

132 

123 

109 

9;? 

83 

76 

63 

55 

48 

:? 

210 

190 

173 

160 

148 

138 

129 

115 

99 

88 

81 

68 

59 

52 

10 

217 

196 

180 

1G6 

r>4 

145 

t36 

121 

10) 

94 

86 

74 

65 

58 

30 

225 

204 

187  !  173 

161 

152 

143 

128 

112 

101 

93 

80 

71 

64 

50 

231 

210 

191 

181 

168 

158 

150 

135 

119 

108 

100 

87 

78 

71 

OO 

235 

214   197 

184 

172 

162 

153'  130 

122 

112 

104 

91 

82 

75 

NOTE.— For  slopes  greater  than  .01,  c  remains  nearly  constant. 


166 


HYDRAULIC   AND  EXCAVATION    TABLES. 


' 


Table   48, — Average  weight,  in  pounds  per  cubic  foot,  of  various 
substances. 


SUBSTANCE 

WEIGHT 

SUBSTANCE 

WEIGHT 

Clay,  earth  and  mud 
Clay 

122-162 

Masonry    and  its  materials  — 
(Continued) 

Earth,  dry  and  loose  
'     shaken.  .  .  . 

72-80 
82-92 

Sand,   wet,    voids  full  of 
water  

118-128 

4     moderately 
rammed  
Earth,  slightly  moist,  loose 

90-100 
70-76 

Stone  
'     quarried.loosely  piled 
'     broken,  loose.  .  . 

135-195 
80-110 
77-112 

"     more  moist,  loose.  .  . 
shaken  . 
moder- 
ately rammed  

66-68 
75-90 

90-100 

"          "       rammed  

Metals  and  alloys 
Brass  (copper  and  zinc)  .  . 

79-121 

487-524 

Earth,  aa  soft  flowing  mud 
'    mud        well 
pressed  into  a  box 

104-112 
110-120 

Bronze  (copper  and  tin)  .  . 
Copper,  cast  
rolled         .    . 

524-537 
537-548 
£48-562 

Mud,  dry,  close  

80-110 

Iron  and  steel,  cast  

438-483 

"          wet,  '  moderately 
pressed   

110-130 

Average  .... 
"       "      "   wrought  .... 

450 

475-494 

Mud  wet  fluid  

104-120 

Average 

481 

Masonry  and  its  materials 

Spelter  or  zinc  
Tin  cast                

425-450 
450-470 

Brick,  best  pressed  
common  hard  

150 
125 
100 

Woods,  seasoned  and  dry.  .  .  . 
Ash 

40-53 

Brickwork    pressed  brick, 

Hemlock  

25 

fine  joints  

140 

Hickory  

37-58 

Brickwork  medium  quality 

125 

Oak,  white    .              .    . 

37-56 

coarse,  inferior 

'*      red,  black,  etc  

32-45 

soft  bricks 

100 

Pine  whit**                  .    . 

22-31 

Cement,  pulverized,  loose. 
"         pressed 

72-105 
115 

'     yellow,  northern  
"         "        southern 

30-39 
40-50 

44         set  

168-187 

Poplar  

22-31 

Concrete  1:3:6 

140 

Spruce 

25 

Gravel,  loose  

82-125 

Woods  weigh  one-fifth  to  one- 

"        rammed 

90-145 

half  more  green  than  dry 

Masonry    of    granite    or 
stone  of  like  weight 
Well  dressed  

165 

and  ordinary  building  tim- 
ber,  tolerably  seasoned, 
weighs  about  one-sixth  more 

Well-scabbled      nibble, 
20%  mortar   

154 

than  dry  timber. 

Roughly-scabbled  rubble 
25%  to  35%  mortar.  . 
Well-scabbled  dry  rubble 
Roughly-scabbled      dry 

150 
138 

125 

Masonry  of  sandstone  or 
stone    of     like     weight 
•weighs     about      seven- 
eighths  of  the  above. 

90-115 

Sand,    pare   quartz,    dry, 
loose           .           ... 

87-106 

Sand,   pure    quartz,  dry, 
slightly  shaken  
.     Sand,    pure   quartz,    dry, 
nmmed 

92-110 
100-120 

Sand,  natural,   dry,  loose. 
"    shaken 

80-110 
85-125 

. 

HYDRAULIC   AND  EXCAVATION    TABLES.  167 

Table    49.  —Convenient  equivalents. 


1  inch=T1,foot=.027778  yard --=.000015783  mile=2.54  centimeter*. 
1  foot=12  inches=.j  yard  =  .000 18939  mile=.3048  meter. 
1  yard  =  36  inches=3  feet=. 0005681 8  mile=.9144  meter. 
1  mile=63360  inches=5280  feet=1760  yards=1.60935  kilometers. 
1  meter=100    centimeters=.001     kilometer =39.37     inches =3. 2808     feet=1.0936 
yards=. 00062137  mile. 

SURFACE 

1  square  inch=.006944  square  foot=.0007716    square  yard  =  .0000001594    acre- 

.0000000002491  square  mile= 6.45163  square  centimeters. 
1    square  foot=144    square    inches=|    square  yard  =.000022957    acre=  .000000- 

03537  square  mila  =  . 092993  square  meters. 
1  square   yard  =  1296  square   inches=9   square  feet=.00020C6  acre  =  .0000003228 

square  mile=. 83613  square  meter. 
1  acre =6272640  square  inches =43560  square  feet=4840  square  yards=  .0015625 

square  mile=208.71  feet  square=. 404687  hectare. 
1  square  mile=40144S9600  square  inches =27878400  square  feet=3097600  square 

yards=640  acres=259  hectares. 

1  square  meter  =10000   square  centimeters =.0001    hectare=.OQ0001   square  kilo- 
meter =  1550.00  square  inches=  10.7639  square  feet=l. 19598  square  yards= 

.0002471  acre=. 0000003861  square  mile. 

VOLUME 

1  cubic  inch=. 004329  U.  S.  gallon  =.0005787    cubic    foot=  16.3872   cubic   centi- 
meters. 
1  U.    S.    gallon=231    cubic    inches=. 13368    cubic    foot  =.00000307    acre-foot= 

3.78543  liters. 
1  cubic  foot  =1728  cubic    inches=7.4805    U.    S.  gallons  =.037037  cubic  yard= 

.000022957  acre-foot=28.317  liters. 
1  cubic  yard  =  46656  cubic   inches=27   cubic   feet=. 00061983    acre-foot=  .76456 

cubic  meter. 
1  acre-foot=325851  U.  S.  gallons =43560  cubic  feet=1613}  cubic  yards=1233.49 

cubic  meters. 
1  cubic  meter,  stere  or  kiloliter=  1000000  cubic  centimeters=1000  liters=61023.4 

cubic  inches=264.17  U.  S.  gallons= 35.3145  cubic  feet=  1.30794  cubic  yards- 

.000810708  acre-foot. 

HYDRAULICS 

1  U.  S.  gallon  of  water  weighs  8.34  pounds  avoirdupois. 

1  cubic  foot  of  water  weighs  62.4  pounds  avoirdupois. 

1  second-foot=448.8  U.  S.  gallons  per  minute =26929.9  U.  S.  gallons  per  hour— 

646317  U.  S.  gallons  per  day. 

«=60  cubic  feet  per  minute=3600  cubic  feet  per  hour=86400  cubic 
feet  per  day=31536000  cubic  leet  per  year=. 000214  cubic  miles 
per  year. 

-.9917  acre-inch  per  hour=  1.0835  acre-feet  per  day=723.CCC9  acre- 
feet  per  year. 

•=50  miner's  inches  in  Idaho,  Kansas,  Nebraska,  New  Mexico,  North 
Dakota,  and  South  Dakota =40  miner's  inches  in  Arizona,  Cali- 
fornia, Montana,  and  Oregon=38.4  miner's  inches  in  Colorado. 
=  .028317  cubic  meters  per  second  =  1.699  cubic  meters  per  minute** 

101.941  cubic  meters  per  hour=2446.58  cubic  meters  per  day. 
I  cubic  meter  per  minute=.58S6  second -feet=4. 403  U.S.  gallons  per  second = 

1.1674  acre-feet  per  day. 
1  million  gallons  per  day=1.55  second-feet=3.07  acre-feet  per  day=2.629  cubic 

meters  per  minute. 

1  second-foot  falling  8.81  feet=l  horsepower. 
1  second-foot  falling  10  feet=  1.135  horsepower. 
1  second-foot  falling  11  feet=l  horsepower,  80  per  cent  efficiency. 
1  second-foot  for  1  year  will  cover  1  square  mile  1.131  feet  or  13.572  inches  deep. 
1  inch  deep  on  1  square  nu'le=2323200  cubic  feet=.0737  second-feet  for  1  year. 


J 

168  HYDRAULIC    AND  EXCAVATION    TABLKS 

. 
Tat>l©  49. — Convenient  equivalents  —  Continued. 

MISCELLANEOUS 

1  foot  per  Becond=.68  mile  per  hour=  1.097  kilometers  per  hour. 

1  avoirdupois  pound  =  7000  grains  =  .4536  kilogram. 

1  kilogram=1000  grams=.001  tonne=  15432  grains=2.2046  pounds  avoJ.rdup.ois. 

i  15  pounds  per  square  inch. 
1  atmosphere = about  <    1  ton  per  square  foot. 

'    1  kilogram  per  square  centimeter. 
Acceleration  of  gravity,  f/,=32.16  feet  per  second. 
I  mil =.001  inch, 

Jl  circular  mil=  ~  (.001)  *  or  .CCC0007854  square  inch. 

1  square  inch=  1273240  circular  mils. 

No.  10  Birmingham  gage  wire  has  a  diameter  of  134  mils  and  a  cross-sectiona' 

area  of  17956  circular  mils. 
1  horsepower =5694 120  foot-gallons  per  day»550  foot-pounda  per  second  »oPOOf, 

foot-pounds  per  minute=198CCCO  foot-pounds  per  hour=2545  E.  1 .  F,  pv; 

hotir^76  kilogram  meters  per  second-=1.27  kilogramn.etera  per  minute-746 

watts. 
1  horsepower,  boiler  rating,  requires  the  evaporation  of  34H  pounds  per  hour  of 

water  at  212  degrees  Fahrenheit  to  dry  steam  at  the  saire  temperature;   or 
^Jjhe  expenditure  of  33317  B.T.U.;     and  m  practice  is  developed  by  burning 

SUhto  4M  pounds  per  hour  of  coal  under  10  to  12  square  feet  of  heating  surface. 
1  B.T.U.=778  foot-pounds. 
1  pound  of  bituminous  coal  contains  about  14100  B.T.U.  or  11000000  foot-pounds 

of  energy. 


O 


b33!8 


370323 


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